1 
A card is drawn at random from a pack of 52 cards. What is the probability that it is neither a spad...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

2 
Set A = {2,3,4,5} Set B = {4,5,6,7,8} Two integers will be randomly selected from the sets above, ...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

3 
A 20 sided fair die, with sides numbered 120, is rolled. The probability that 1 turns up is . T...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

4 
James is going to call one person from his contacts at random. He has 30 total contacts. 15 of those...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

5 
Gregory has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to list...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

6 
A fivedigit number is formed by using digits 1, 2, 3, 4 and 5 without repetition. What is the proba...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

7 
The sum of probabilities of all the elementary events of an experiment is _______. (An elemen...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

8 
If the occurrence of one event means that another cannot happen, then the events are:
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

9 
If we know that the following is true P(A or B) = P(A) + P(B) then what is the underlying as...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

10 
A bag contains 40 balls out of which some are red, some are blue and remaining are black. If the pro...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

11 
A dice is thrown then what will be the number of sample space? Type in your answer as an integer if...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

12 
For which of the following experiments, the number of outcomes exceed 50?
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

13 
For an event E, which of the following is true:
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

14 
For the following rule to be true P(A and B) = P(A) P(B) the events need to be: ...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

15 
A medical treatment has a success rate of .6. Two patients will be treated with this treatment. Assu...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

16 
For two events A and B let P(A)=P and P(B)=0.3 and P(AUB)=0.6, then find P so that A and B are indep...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

17 
A man bets on number 16 on a roulette wheel 14 times and losses each time. On the 15th spa...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

18 
Giovanna owns a farm. She is going to randomly select one animal to present at the state fair. She h...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

19 
Isiah has a corporate proposal. The probability that vicepresident Alan will approve the propo...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

20 
A box contains 4 chocobars and 4 ice creams. Tom eats 3 of them, by randomly choosing. What is the p...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

21 
Identify statements which define Independent Events:
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

22 
A bag contains 9 white and 5 yellow balls, and another bag contains 6 white and 8 yellow balls. If o...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

23 
If A and B are events such that P(AB) = P(BA), then
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

24 
Isiah has a corporate proposal. The probability that vicepresident Alan will approve the...
CAT
Quantitative Ability
Combinatorics and Probability
Probability

25 
In a boltmaking factory, machines A, B and C manufacture 25%, 35% and 40% respectively, of the tota...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability

26 
Let A and B be the two events such that P(A) = 1/2, P(B)= 1/3 and P(A ∩ B)=1/4. Find P(A'B&...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

27 
A husband and wife appeared in an interview for two vacancies in the same organization. The probabil...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

28 
A card is drawn from a wellshuffled pack of 52 cards. The following two events E and F take place i...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

29 
An urn contains 4 white, 6 black and 8 red balls. If 3 balls are drawn one by one without replacemen...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

30 
In how many ways you can answer one or more questions out of 6 questions each having an alternative?...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Combination

31 
The lock on a safe consists of three wheels, each of which may be set in eight different positions. ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

32 
A computer system allows a user to set a three character long password, where each character is eith...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

33 
How many different words can be formed with the letters of the word NAINITAL such that each of ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

34 
From a standard 52card deck, how many 5card hands will have 3 hearts and 2 spades?
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

35 
In how many different ways can three persons A, B, C having 6, 7 and 8 one rupee coins respectively ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

36 
How many five digit positive integers that are divisible by 3 can be formed using the digits 0, 1, 2...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

37 
How many different words can be formed with the letters of the word RAINBOW so that the vowels occup...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

38 
How many solutions are there are there for p+q+r+s=22 such that all of p, q, r, s are the whole numb...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Combination

39 
Probability of an Event E + Probability of an Event 'not E' = Type in your answer as a...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

40 
Father John forms a choir from the church attendants. 30 people attend John's church, and the ch...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Combination

41 
Jignesh invited two of his colleagues Priyanka and Shipra over for dinner. In how many different way...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Circular Permutation

42 
The number of nonnegative integral solutions of x1+x2+x3+x4 <= n (where n is a positive int...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

43 
The number of ways in which 30 coins of Rupee one each can be given to six persons so that none of t...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

44 
Nine points are marked on a straight line and 10 points on another line which is parallel to th...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

45 
Find the number of integral solutions to the equation x + y + z = 15
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

46 
A bag contains 21 toys numbered 1 to 21. Sia draws a toy and then another toy, without replacement. ...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

47 
In how many ways can you put 5 identical beads in 3 different boxes? Type in your answer as an inte...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

48 
The number of positive integral solutions of a.b.c = 42 is Type in your answer as an integer if y...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

49 
The number of nonzero integral solutions of the equation a + b + c = 18 is. Type in your answer as...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

50 
Each of the letters of the word MISSISSIPPI are written on separate pieces of paper that are then fo...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

51 
Two brothers X and Y appeared for an exam. Let A be the event that X is sel...
CAT
Quantitative Ability
Combinatorics and Probability
Probability

52 
How many numbers between 100 and 1000 can be formed from the digits 1,2,3,4,5 such that no digit is ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

53 
If nC9=nC11, find nC19 Type in your answer as an integer. For example, if your answer is 2, type in...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

54 
In how many ways can 16 books on different subjects be divided equally into 4 groups?
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

55 
If nC8 = nC15, find the value of n. Type in your answer as an integer if your answer is 1...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

56 
In how many ways can a cricketeleven be chosen out of 15 players if one a particular player is alwa...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

57 
The probability of drawing a blue and an orange ball in succession in that order from a bag containi...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

58 
How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0,1, 2,...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

59 
Which of the following represent(s) 8!?
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

60 
Which of the following is equal to 1?
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

61 
The number of ways in which a committee of 5 men and 6 women can be formed from 8 men and ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

62 
A committee of three people is to be chosen from six people. Number of unique committees that can be...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

63 
How many three letter words with or without meaning can be formed from the letters of the word JINX?...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

64 
Find the number of different signals that can be generated by arranging at least 2 flags in ord...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

65 
In a hotel menu, there are 5 Starters, 4 Soups, 9 Indian Main Courses, 11 Chinese Main Courses, and ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

66 
There are 11 students in a section. In how many ways can we award a first rank in Economics and a se...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

67 
How many 3digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetitio...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

68 
Harry wants to go to a party. He has 6 Shirts, 8 Trousers, 4 Polo TShirts, 3 pairs of jeans, 4 Ties...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

69 
A restaurant offers 5 choices of appetizers, 10 choices of main meals and 4 choices of desserts. A c...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

70 
Given 4 flags of different colours, how many different signals can be generated, if a signal require...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

71 
There are 5 doors to a lecture room. In how many ways can a student enter the room through a door an...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

72 
Suppose you can travel from a place A to a place B by 3 buses, from place B to place C by 4 buses, f...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

73 
Praneet was given the task to make three people: P, Q, and R to sit on three chairs C1, C2, and C3. ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

74 
In order to go from city A to City C, one must pass through City B. There are 7 roads that lead to B...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

75 
Find the total number ways in which Sumit can make at most one selection out of 3 flavors of Ha...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

76 
Two guitarists had decided to selloff their spare unused guitars (each had one spare guitar). Afte...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

77 
Profit on selling 10 candles equals selling price of 3 bulbs. While loss on selling 10 bulbs e...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

78 
Jalela and Dalela have to clear their respective loans by paying 3 equal annual installments. Both o...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest

79 
A property dealer bought a rectangular plot in Noida 5 years ago at the rate of 1000 per square mete...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest

80 
Rotomac produces very fine quality writing pens. The company knows that on an average, 10% of the pe...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

81 
A dishonest retailer cheats his wholesaler and customer both. He purchases 19% more from the wholesa...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

82 
ABCD is quadrilateral inscribed inside a circle with centre O such that AB is the diameter of the ci...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Angles in a Circle

83 
The given figure shows a circle with centre O. AB is a chord on the circle such that AP=(11x+2) cm, ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Chord

84 
If a wire is bent into the shape of a square, then the area of the square of 121 m2. If the wire is ...
CAT
Quantitative Ability
Geometry
Circles
Perimeter and Area of Circles and Sectors

85 
What is the decimal equivalent to the hexadecimal number (1000.........(23 times zero)1)16? ...
CAT
Quantitative Ability
Theory of Numbers
Base System

86 
The area of a circle inscribed in an equilateral triangle is 462 cm2. The perimeter of the triangle ...
CAT
Quantitative Ability
Geometry
Triangles
Area of Triangle

87 
The owner of an art shop conducts his business in the following manner: Every once in a while he rai...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Percentages

88 
In the given figure, a circle is inscribed in the square such that it touches all four sides of the ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles

89 
In the given figure, measure of BAC is Type in your answer as Integer. For example, 23.7 to 24. ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Angles in a Circle

90 
Comment on the following statements: Statement A: Let x be a rational number whose decimal expansio...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations
Representation of Numbers
Classification of numbers

91 
A sequence 192, 360, 576……. is formed by multiplying the corresponding terms of two di...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP

92 
Find the value of C0 + C2 + C4 +... in the expansion of (1+x)8. Type in your answer ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Polynomials
Algebraic Identities
Binomial Theorem

93 
Find the sum of all the coefficients in the expansion of (x2+2x)20
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Polynomials
Algebraic Identities
Binomial Theorem

94 
On a fence, there are sparrows and pigeons. When five sparrows leave, there remain two pigeons for e...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations

95 
If the first, third and thirteenth terms of an arithmetic progression are in geometric progression, ...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP

96 
The number of divisors of the form 4n+2 (n>=0) of the integer 240 is. Type in your answer as an ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

97 
Two circles of radii 9 cm and 4 cm touch each other externally. Find the length of their direct comm...
CAT
Quantitative Ability
Geometry
Mensuration

98 
The diagram below shows a circle with centre O and AB parallel to CD. Given the angles 75â—¦ and ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Angles in a Circle

99 
The maximum value of ( 3−x ) 3 ( 2−x ) 4 when ( ( 2<x<3 ) ) ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Inequations

100 
What is the remainder when (81)21 + (27)21 + (9)21 + (3)21 + 1 is divided by 320 + 1? Type in your ...
CAT
Quantitative Ability
Theory of Numbers
Remainders

101 
In a regular hexagon of side a cm, the midpoints of the three alternate sides are joined in order t...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons

102 
A quadratic function f( x ) attains a max of 3 at x=1 , the value of the function at x=0 is ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Graphs of Functions
Maxima and Minima

103 
A wire 66 cm long has been put in the form of a circle. Find the area of the circle so formed. Type...
CAT
Quantitative Ability
Geometry
Circles
Perimeter and Area of Circles and Sectors

104 
A cylindrical vessel of diameter 48 cm has water to a height of 10 cm. A metal cube of 14 cm edge is...
CAT
Quantitative Ability
Geometry
Mensuration

105 
If 2x+3y=10 , then the maximum value of x 2 y 3 is ( x, y>0 ) ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Inequations

106 
A quadratic function attains minimum value of –25 at x=1 . If f( 0 )=–24 , what is ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Graphs of Functions
Maxima and Minima

107 
The sum of all the real roots of the equation  x−2  2 +  x−2 &minu...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations

108 
If x, 2y, and 3z are in A.P. where, the distinct numbers x, y, z are in G.P., then the common ...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP

109 
What is the area enclosed by the curve  x+4 + y−2 =4 (in sq. units)? Type in y...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Special Functions

110 
In the figure given below, AP and PB are tangents to the circle with radius 5 cm. Find the length of...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Tangent

111 
Let n>1, be a positive integer. Then the largest number m, such that ( nm + 1) divides ( 1 ...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations

112 
In the figure, O and O’ are the centres of the bigger and smaller circles respectively and sma...
CAT
Quantitative Ability
Geometry
Circles

113 
Find the area bounded by the curves 3x = 6 + 2y and y = 3 (in sq. units) Type in your answer...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Special Functions
Modulus
Graphs of Functions

114 
If a, b and c are in A.P. then a 3 + c 3 −8 b 3 is equal to: ...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP

115 
What is the remainder when 3040 is divided by 7? Type in your answer as an integer. For example, if...
CAT
Quantitative Ability
Theory of Numbers
Remainders

116 
What is the minimum value of sum of the squares of the roots of the equation x 2 &min...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Graphs of Functions
Maxima and Minima

117 
In the given figure, AD and BE are medians of ABC. If DF is parallel to BE, length of side EF is: ...
CAT
Quantitative Ability
Geometry
Triangles
Similarity of Triangles
Angle Bisector Theorem

118 
The measure of ADB is: Type in your answer as in Integer. For example, 62.3 to 62. ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Angles in a Circle

119 
If the difference between roots of the equation x 2 +ax+1=0 is less than 5,then find the set...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Quadratic Equations

120 
A student took a certain entrance exam and scored 180 out of 250 marks in the first attempt. However...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Percentages

121 
Find the sum to n terms of the series 1 √1+√3 + 1 √3+√5 + 1 &radic...
CAT
Quantitative Ability
Algebra
Sequences and Series
HP and Other Sequences and Series

122 
A regular octagon is inscribed in a circle of radius 1 units. The product of the distances from a fi...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Other Polygons
Regular Polygons

123 
AB is the diameter of the given circle, while points C and D lie on the circumference as shown. If A...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents

124 
A water filling pipe P is 5 times faster than a second pipe Q. If Q can fill a cistern in 30 minutes...
CAT
Quantitative Ability
Arithmetic
Time and Work

125 
In the figure below is a circle with centre O, and another circle with centre at the midpoint B...
CAT
Quantitative Ability
Geometry
Circles

126 
A child tore off one leaf from a book having page number from 1 to N. Summation of the remaining num...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
Applications of AP and GP

127 
The compound interest on certain sum is for 2 years is Rs. 756 and SI is Rs. 720. If the sum is inve...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest

128 
If ( 2 + 4 + 6 +... 50 terms ) (1 + 3 + ...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP

129 
N is a natural number. How many values of N exist, such that N2 + 24N + 21 has exactly three fa...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

130 
For the figure given below, find the value of x Type in your answer as in integer. For e...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Secant

131 
Ben made a loss of 20% by selling his laptop on Rs 1536. How much profit or loss he would make by se...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

132 
A metallic solid cylinder of 14 cm diameter and 32 cm height is cast into 77 solid cubes of equal si...
CAT
Quantitative Ability
Geometry
Mensuration

133 
If S = 1 + x + x2+ x3+  to infinity, then x =
CAT
Quantitative Ability
Algebra
Sequences and Series

134 
Avi driving at a speed of 45 km/h reaches his school 10 minutes late. Next time he increases his spe...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

135 
If two events (both with probability greater than 0) are mutually exclusive, then:
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

136 
Two solutions contain petrol and diesel in the ratio 2 : 3 and 3 : 7. In what ratio should the two s...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

137 
How many pairs of integer (p, q) are possible such that p2 – q2 = 288? ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Polynomials
Operations on Polynomials

138 
( 1− 1 3 )⋅( 1− 1 4 )⋅...⋅( 1− 1 n ) equals ...
CAT
Quantitative Ability
Algebra
Sequences and Series

139 
Find the value of a for which 4 t −(a−4) 2 t +(9/4)a<0 where ‘t’ be...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Quadratic Equations

140 
Find the remainder when 752 is divided by 2402. Type in your answer as an integer. For example...
CAT
Quantitative Ability
Theory of Numbers
Remainders

141 
What is the remainder when the number 123123123.....123123(300 digits) is divided by 99? Type in yo...
CAT
Quantitative Ability
Theory of Numbers
Remainders

142 
Arun can walk up in a moving escalator (upwards) in 30 s. He can walk down this moving &ls...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance
Relative Speed

143 
In how many ways can Sujata divide 15 Banoffee Pies among 5 kids, such that each gets at least 2 and...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

144 
Solve for x: 3 ( x 2 −x) + 4 ( x 2 −x) =25 Type your answer as the sum of roo...
CAT
Quantitative Ability
Algebra

145 
Find the remainder when 43444 is divided by 9. Type in your answer as an integer. For example,...
CAT
Quantitative Ability
Theory of Numbers
Remainders

146 
Simplify ( 8.73*8.73*8.73 )+( 4.27*4.27*4.27 ) ( 8.73*8.73 )−( 8.73*4.27 )+( 4.27*...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Polynomials
Algebraic Identities

147 
How many 3digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetiti...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

148 
In the figure given below, AB is parallel to DC. The area of the trapezium is: Type in your answe...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Quadrilaterals
Trapezium

149 
If nPr = nCr, then what will be the value of r, if n=20? ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

150 
If x2– x – 6 < 0, x2+ 6x – 5 > 0 and x2– 10x + 16 < 0, then ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Quadratic Equations
Inequations

151 
Three small cruise ships, each carrying 10 passengers, will dock tomorrow. One ship will dock at Por...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Combination

152 
If a, b, and c are odd integers, then the roots of ax2+bx+c = 0 cannot be: A) Ration...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Polynomials
Algebraic Identities

153 
If α and β are the roots of the equation, 2x2 –3x –6 =0...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Quadratic Equations

154 
If (x1)3 is a factor of x4+ax3bx2+cx1 = 0, then find the other factor. ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Polynomials
Operations on Polynomials

155 
In the given figure, O as center the of the circle, AB = BC = radius of circle. Find the measurement...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Angles in a Circle

156 
Find the values of parameter ‘a’ such that the roots α and β of th...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Quadratic Equations

157 
A vessel is in the form of an inverted cone.Its depth is 8 cm and the diameter of its top, which is ...
CAT
Quantitative Ability
Geometry
Mensuration

158 
Find the number of solutions when the following two inequations are satisfied: y = 6x2  13x + 6&nb...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Inequations

159 
Find the number of nonnegative integral solutions of 3x + 10y = 200. Type in your answer as an int...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Linear Equations

160 
If the area of an equilateral triangle is 24 3 m2, then its perimeter is ...
CAT
Quantitative Ability
Geometry
Triangles
Area of Triangle

161 
A pair of dice are thrown simultaneously. Find the probability that the sum obtained is 9 when one d...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

162 
How many consistent independent equations are needed to solve for n unknown variables?
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Linear Equations

163 
The least number which is a perfect square and has ...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

164 
A twodigit number is such that it is the product of two distinct perfect squares. The tens digit, u...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP
Theory of Numbers
Numbers, Properties & Operations

165 
Three friends A, B, and C are running on a circular track of length 60 m with speeds 1 m/s...
CAT
Quantitative Ability
Arithmetic
Races
Circular Races
Times Speed Distance

166 
What is the probability of drawing a king and a queen consecutively from a deck of 52 cards, wi...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

167 
A pack contains 4 blue, 2 red and 3 black pens. If a pen is drawn at random from the pack, replaced ...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

168 
For how many values of b is the following set of equations inconsistent 4x + 6y = 14 2x + by = 7 ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Linear Equations

169 
Which of the following graphs represents the quadratic function f(x) =  x2 + 4x 4 ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Graphs of Functions
Identification of Graphs

170 
Every Monday, Marina eats one croissant and every Tuesday she eats two croissants. On each subsequen...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP

171 
If p is chosen at random from the set {1,2,3,4} and q is to be chosen at random from the set {5,6,7}...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

172 
What should be the value of k, for the following equations to be consistent? 5x – 2y = ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Linear Equations

173 
The number 2006! is written in base 22. How many trailing zeroes are there in the number? Type in y...
CAT
Quantitative Ability
Theory of Numbers
Base System

174 
If the roots of the equation a x 3 +b x 2 +cx+d=0 are in geometric progression, then whic...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations

175 
A bag contains 8 red balls and x blue balls, the odd against drawing a blue ball are 2: 5. What is t...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

176 
For graph of f(x)= 1 x−4 , what is the value of x for which f(x) reaches infinity? ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Special Functions

177 
Two chords AB and CD of a circle intersect at E such that, AE = 2.4 cm, BE = 3.2 cm and CE = 1.6 cm....
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Chord

178 
Find the units digit of LCM of 13501 – 1 and 13501 + 1. Type in your answer as an integer. Fo...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
HCF, LCM

179 
Solve the following set of linear equations in two variables 10/(x + y) + 2/(x  y) = 4 15/(...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Linear Equations

180 
Find the combined area of the 2 quadrilaterals formed by the intersection of x + 5y = 15 and 7 =...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Special Functions
Modulus
Graphs of Functions

181 
Harsh sells a pen at a gain of 15%. Had he bought it at 10% less and sold it for Rs 40 less, he woul...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

182 
Given two different prime numbers P and Q, which of the following is not true?
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

183 
In a number system the product of 44 and 11 is 3414. Find the base in which these numbers are writte...
CAT
Quantitative Ability
Theory of Numbers
Base System

184 
What is the remainder when 2256 divided by 17?
CAT
Quantitative Ability
Theory of Numbers
Remainders

185 
For every natural number n , the highest number that n×( n 2 −1)×(5n+2)&n...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations

186 
The probability that a number selected from numbers 1,2,3,...,30 is a prime number is (Given that...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

187 
A telephone company places round cables in round ducts. Assuming the diameter of a cable is 2 cm, wh...
CAT
Quantitative Ability
Geometry
Mensuration
Spheres and Hemispheres

188 
F(x) is a fourth order polynomial with integer coefficients and with no common factor. The root...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Special Functions

189 
For a positive integer n, let Pn denote the product of the digits of n and Sn denote the s...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations

190 
Two motorists Anil and Sunil are practicing with two different sports car; Ferrari and Maclarun, on ...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

191 
Which of the following is/are true: Statement A: If a number is divisible by both 2 and 3, then the...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations
Representation of Numbers
Families of Integers

192 
Out of first 300 even natural numbers, how many numbers have even number of factors? Type in your a...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

193 
A conical tent is to accommodate 10 persons. Each person must have 6 m2 space to sit and 3...
CAT
Quantitative Ability
Geometry
Mensuration

194 
If the population of India was 120 billion in 2013 and it was growing at the rate of 1.2% ...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest
Compound Interest

195 
What is the least number which when divided by 12, 18, 36 and 45 leaves remainders 8, 14, 32 and 41,...
CAT
Quantitative Ability
Theory of Numbers
Remainders
Properties of Remainders

196 
Find the remainder when ( 300300  1 ) is divided by 1001. Type in your answer as an integer. ...
CAT
Quantitative Ability
Theory of Numbers
Remainders

197 
At the end of the day, a bakery gives everything that is unsold to food banks for the needy. If it h...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Partitions and Distributions

198 
If k and m are natural numbers, then the remainder when (3k + ( 1)m)6 is divided by 9 : ...
CAT
Quantitative Ability
Theory of Numbers
Remainders

199 
Which one of the following statements is not correct?
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations
Representation of Numbers
Classification of numbers

200 
Find the remainder when (3324)7 is divided by 6. Type in your answer as an integer. For exampl...
CAT
Quantitative Ability
Theory of Numbers
Base System

201 
How many 3digit numbers are there which are divisible by only 3 distinct numbers? Type in you...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

202 
HDFC lends a million to HUNDCO at 10% simple interest p.a.for two years and HUNDCO lends the s...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest

203 
How many numbers between 11 and 1111 which when divided by 9 leave a remainder of 6 and when di...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
HCF, LCM
Application of Remainders
Remainders

204 
The number ( 2324X1013 )7 is converted to base 10 then divided by 6. It leaves no rem...
CAT
Quantitative Ability
Theory of Numbers
Base System

205 
Find the remainder when (40! + 2) is divided by 41. Type in your answer as an integer. For example,...
CAT
Quantitative Ability
Theory of Numbers
Remainders
Advanced Theorems
Wilson's Theorem

206 
The sum of a number x and its reciprocal is 8/15 less than thrice the sum of another number y and th...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Linear Equations

207 
Let a+b+c=1 . Find the minimum value of ( 1 a −1)( 1 b −1)( 1 c −1). Type...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Graphs of Functions
Maxima and Minima

208 
Pankaj and Sushil invested some amount of money in the ratio of 3:5 for the same period in a busines...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

209 
The last digit of the number obtained by multiplying the numbers 81⋅82⋅83⋅84⋅85...
CAT
Quantitative Ability
Theory of Numbers
Remainders
Properties of Remainders

210 
What is the distance in cm between two parallel chords of lengths 32 cm and 24 cm in a circle of rad...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Chord

211 
Aditya has a collection of cubeshaped toys where each of his cubes is of a different size. Before h...
CAT
Quantitative Ability
Algebra
Sequences and Series
HP and Other Sequences and Series

212 
An arc makes an angle of 72o at the centre of a circle of radius 10 cm. Length of the arc is ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Angles in a Circle

213 
There are 3 roads from A to B, from B to C there are 4 roads, 3 direct roads from A to D and from C ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

214 
Find the least number (greater than 20) which is a factor of 7 101 + 18 101 Type in your...
CAT
Quantitative Ability
Theory of Numbers
Remainders
Properties of Remainders

215 
Find the remainder when 270 is divided by 96.
CAT
Quantitative Ability
Theory of Numbers
Remainders

216 
A circular sheet of paper of radius 6 cm is cut into six equal sectors. Each sector is formed i...
CAT
Quantitative Ability
Geometry
Mensuration

217 
If the roots of 10 x 3 −c x 2 −54x−27=0 are in H.P, then find the value of c :...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP

218 
2x = 4y = 8z and xyz = 288, then the value of 1/2x + 1/4y + 1/8z is ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Linear Equations

219 
Ernest won a large amount of money in a lottery. Overcome with impulse, he blew off 40% of his winni...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Percentages

220 
The least number which is always divisible by 36 and 32 is: Type in your answer as an integer. For ...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations
Representation of Numbers
Families of Integers

221 
30 men can do a work in 24 days. In how many days can 20 men do the work, given that the time spent ...
CAT
Quantitative Ability
Arithmetic
Time and Work

222 
What is the remainder when 683 + 883 is divided by 49? Type in your answer as an integer. For examp...
CAT
Quantitative Ability
Theory of Numbers
Remainders

223 
If we divide any positive integer by 3, the possible remainders are 0, 1 and 2. Thus the t...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations
Representation of Numbers
Families of Integers

224 
Find the remainder when 52k is divided by 13 where ( k = 1! + 2!+.......+ 5!). Type in y...
CAT
Quantitative Ability
Theory of Numbers
Remainders

225 
Which of the following inequalities has a solution set that when graphed on the number line, is a si...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations

226 
Find the value of x if x= 1 3+ 1 3+ 1 3+ 1 3+....... ...
CAT
Quantitative Ability
Algebra

227 
A sum of Rs 6400/ is invested for 6 months at the rate of 50% per annum compounded quarterly. ...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest
Compound Interest

228 
From a container, 6 litres milk was drawn out and was replaced with water. Again 6 litre...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

229 
Find the range of p such that one root of the equation x 2 −8x+p lies between 0 and 1. ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations

230 
If three positive real numbers a, b, c are in A.P. such that abc = 4, then minimum value of b ...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP

231 
What is the remainder when 1! + 2! + 3! + …. + 100! is divided by 5? Type in your answer as ...
CAT
Quantitative Ability
Theory of Numbers
Remainders

232 
The remainder when 22005 is divided by 13 is: Type in your answer as an integer. For example, if yo...
CAT
Quantitative Ability
Theory of Numbers
Advanced Theorems
Wilson's Theorem

233 
The area of the largest triangle that can be inscribed in a semicircle with radius r is:
CAT
Quantitative Ability
Geometry
Circles
Perimeter and Area of Circles and Sectors

234 
The probability that event M will not occur is 0.8 and the probability that event R will not occur i...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

235 
An empty vessel is connected with 3 pipes A, B, and C. Pipe A is opened first and can fill the vesse...
CAT
Quantitative Ability
Arithmetic
Time and Work

236 
A forester wants to plant 44 apple trees, 66 banana trees and 110 mango trees in equal rows (in term...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
HCF, LCM

237 
Total number of factors of a number is 24 and the sum of its 3 prime factors out of 4, is 25. The pr...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

238 
The value of lo g 10 1 + lo g 10 10 + lo g 10 10...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Special Functions
Logarithms

239 
A chord AB of a circle of radius 5.25 cm makes an angle of 60 degree at the center of the c...
CAT
Quantitative Ability
Geometry
Circles

240 
x + y = 8 and P=5 x 2 + 11 y 2 , where x, y≥0 . W...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations

241 
If ABO = 20o and ACO =25o, then the measure of BOC is: Type in your answer as in Integer. For exa...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles

242 
The employees at a hotel reservation center assign an eightdigit confirmation number (CN) to each c...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

243 
How many odd numbers in the range between 10 and 100, inclusive, are not divisible by 3? Type in yo...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations

244 
Ashok and Raj start from city A for city B with different speeds. Ashok left city A one hour earlier...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

245 
What is the last remainder when 223 is successively divided by 4, 5 and 6?
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations
Representation of Numbers
Families of Integers

246 
The number 11 and the quotient obtained by dividing a number 'n' by 121 are c...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations

247 
In how many ways can we roll an unbiased die twice such that the sum of the numbers on the two throw...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

248 
How many natural numbers are factors of exactly one of the following two numbers? 675 and 1080 Typ...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

249 
If log 3 2 , log 3 ( 2 x −5) and log 3 ( 2 x −7/2) are in AP, then fi...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Special Functions
Logarithms
Sequences and Series
AP, GP
AP

250 
( n 2 +5n+6) is a multiple of 6, where n is a natural number less than 100. How many valu...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations

251 
A and B are running along a circular track in the same direction. A and B started simultaneousl...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance
Races
Circular Races

252 
x4 – px3 + qx2 – rx + 8 = 0 divided by x + 1 leaves a remainder of 3...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Polynomials
Operations on Polynomials

253 
If a five digit number N is such that the sum of its digits is 29, can N be the square of an integer...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations

254 
How many times the HCF of the fractions 4 9  ,  8 27  , 10 63 is...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
HCF, LCM

255 
Find the largest number which will always divide the sum of cubes of three consecutive positive...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

256 
Pipe A takes 3/4 of the times required by pipe B to fill the empty tank individually. When an outlet...
CAT
Quantitative Ability
Arithmetic
Time and Work

257 
In the figure, where the two arcs are quarter circles, the area of the shaded region is Type...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Circles

258 
A test has 80 questions. There is one mark for a correct answer, while there is a negative penalty o...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations

259 
Two concentric circles have radii 5 cm and 3 cm. The length of the chord of the larger circle which ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Tangent

260 
Find the volume of the largest sphere which can be cut from a cube having edges of 7 cm length. Appr...
CAT
Quantitative Ability
Geometry
Mensuration

261 
What is the HCF of 4 6 , 3 9 , 6 5 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gz...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
HCF, LCM

262 
If a die is cast and then a coin is tossed, find the number of all possible outcomes. Type in your ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles

263 
If n is a positive prime integer, what is the remainder when ( n2n1) is divided by ( n &...
CAT
Quantitative Ability
Theory of Numbers
Remainders

264 
How many values can a natural number 'n' take if n! is a multiple of 230 but ...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
Numbers, Properties & Operations

265 
If a number N is divided by 17, then which of the following is/are true A: The number of possible&n...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations
Representation of Numbers
Families of Integers

266 
An equilateral triangle T2 is formed by joining the mid points of the sides of another equilateral t...
CAT
Quantitative Ability
Algebra
Sequences and Series

267 
The HCF of x and y is H. Find the HCF of (x – y) and (x3 + y3)/(x2 – xy + y2). ...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
HCF, LCM

268 
The roots of the equation x 2 −x( a+b )+ab− b 2 =0 (where a & b ar...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations

269 
If [x] is the greatest integer function less than or equal to x then , [ 500 1 5 ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Special Functions

270 
The real values of 'a' for which the quadratic equation 2x2 – (a3 + 8a 1)x +a2 &ndash...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Applications of Linear and Quadratic Equations

271 
There are two bags. The first bag contains 4 white and 5 black balls and the second bag contains 5 w...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability

272 
A conical cup when completely filled with ice cream forms a hemispherical shape on its open end. Fin...
CAT
Quantitative Ability
Geometry
Mensuration

273 
Is there any positive integer 'n' possible such which can divide ( 2n + 3n&nb...
CAT
Quantitative Ability
Theory of Numbers
Remainders

274 
How many three digit numbers are there which when divided by 9 and 8 give a remainder of 8 and 7? T...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
HCF, LCM

275 
In the figure given below, O is the center of the center, MNO=20o, and NMP=60o, the measu...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Angles in a Circle

276 
If a and b are roots of equation 3 x 2 +5x+k=0 , a 2 − b 2 =25 ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations

277 
In the figure below, P, Q, and R are points on a circle with center O. The tangent to the circle at ...
CAT
Quantitative Ability
Geometry
Circles

278 
Find the remainder when 3340 is divided by 341. Type in your answer as an integer. For example...
CAT
Quantitative Ability
Theory of Numbers
Remainders

279 
The units digit of the expression ( 11 1 + 12 2 + 13 3 + 14 4 + 15 5 + 16 6 ) is T...
CAT
Quantitative Ability
Theory of Numbers
Remainders
Properties of Remainders

280 
In a class, 45% of the students read English, 30% read French and 20% read both English and French. ...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Conditional Probability

281 
Find the last 2 digits of 123123! Type in your answer as an integer. For example, if your answer is...
CAT
Quantitative Ability
Theory of Numbers
Remainders

282 
Second term of a geometric progression is 1000 and the common ratio is = 1/n, where n is a natural n...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP

283 
For the given triangle, BE and AD are altitudes on sides AC and BC respectively. If BE = 20, AD = 16...
CAT
Quantitative Ability
Geometry
Triangles
Area of Triangle

284 
Find the value of x and y when the solution of the following equations is given by ( 3xy+1)/3...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Linear Equations

285 
Find the number of permutations of the letters of the word ‘REMAINS’ such that the vowel...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation

286 
John has chocolates of types A and B in the ratio 3 : 7, while Mike has chocolates of types B and C ...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages

287 
A bag contains 10 balls numbered from 0 to 9. the balls are such that the person picking a ball out ...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

288 
The number of zeroes at the end of 1 99 × 2 98 × 3 97 ×..........× ...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
Numbers, Properties & Operations

289 
Match the following (Considering all experiments are conducted in an unbiased fashion) â€‹â€‹â€‹â€‹â€‹â€‹â€‹ ...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

290 
If 1/(b+c), 1/(c+a), 1/(a+b) are in A.P., then what is true about a2,b2,c2? ...
CAT
Quantitative Ability
Algebra
Sequences and Series

291 
Find the gcd (111…11 hundred ones ; 11…11 sixty ones).
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
HCF, LCM

292 
If x is any integer from 6 to 2 inclusive, how many values of x satisfy the following inequation:...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Inequations

293 
Two circles touch each other externally. If the sum of their areas is 130 π cm2 and the distance...
CAT
Quantitative Ability
Geometry
Circles
Perimeter and Area of Circles and Sectors

294 
If x and y are positive real numbers such that 12xy +21x+20y=46 , find the minimum value of ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Graphs of Functions
Maxima and Minima

295 
The angles of a quadrilateral are in the ratio 3:5:9:13. The largest angle of the quadrilateral is: ...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Quadrilaterals

296 
The diluted wine contains only 8 litres of wine and the rest is water. A new mixture whose con...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

297 
Which of the following number can be obtained on rationalizing the given number ...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations
Representation of Numbers
Classification of numbers

298 
A solid wood toy is in the shape of a right circular cone mounted on a hemisphere. If the radiu...
CAT
Quantitative Ability
Geometry
Mensuration

299 
Out of 17 applicants  8 guys and 9 girls, two persons are to be selected for a task. What is the pr...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

300 
Sum of two number x and y is 1050. What is the maximum value of the HCF between x and y? Type in yo...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
HCF, LCM

301 
Choose from the options the correct Number families in Column 2 to the group of numbers in Column 1 ...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations

302 
If one angle of a pentagon is 40o and all the other angles are equal, find the measure of each ...
CAT
Quantitative Ability
Geometry
Mensuration

303 
An Army Commander wishing to draw up his 5180 men in the form of a solid square found that he had 4 ...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

304 
The areas of three adjacent faces of a cuboid are x, y, z. If the volume is V,then V2 will be equal ...
CAT
Quantitative Ability
Geometry
Mensuration

305 
Find the number of ways in which 57 can be expressed as a product of 3 factors. Type in y...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

306 
In the given ABC, BCA=BAC. What can be the perimeter of ADC, if all sides have i...
CAT
Quantitative Ability
Geometry
Triangles
Properties of Triangles

307 
Find the sum of all the positive numbers less than or equal to 100, which are not factors ...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

308 
There are 10 seats around a circular table. If 8 men and 2 women have to seated around a circular ta...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Circular Permutation

309 
In the figure given below, the measure of angle PRQ is 75o. QP and QR are tangents to the circle. Me...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Tangent

310 
What is the remainder when 33333...........333 (200 times) is divided by 13? Type in your answer as...
CAT
Quantitative Ability
Theory of Numbers
Remainders

311 
The square root of octal number 2000 is :
CAT
Quantitative Ability
Theory of Numbers
Base System

312 
Two integers are such that their difference, their sum, and their product to one another is in the r...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Ratio

313 
The figure shown represents a board with 4 rows of pegs, and at the bottom of the board are 4 cell...
CAT
Quantitative Ability
Combinatorics and Probability
Probability

314 
How many ordered pairs of positive integers (x, y) exist such that HCF (x, y) + LCM (x, y) = 91? Ty...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
HCF, LCM

315 
The remainder when (1! + 2! + 3! + ….. + 50!) is divided by 10 is: Type in your answer as an...
CAT
Quantitative Ability
Theory of Numbers
Remainders

316 
What is the remainder when 1 + (11)11 + (111)111 + (1111)1111 + ...(111.(10 digits)..111)111…...
CAT
Quantitative Ability
Theory of Numbers
Remainders

317 
The remainder when (888222888222888222 …. upto 9235 digits) is divided by 53 is : ...
CAT
Quantitative Ability
Theory of Numbers
Remainders

318 
A college has raised 75% of the amount it needs for a new building by receiving an average donation ...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Percentages

319 
If p is a prime number greater than 3 such that ( 8p + 1 ) is prime, , then ( &...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations

320 
Two trains of different lengths are travelling in opposite directions with different speeds. Rajesh,...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

321 
The units digit of ( 12345k ) 72 is 6. Among the given options, what can be the value of k? ...
CAT
Quantitative Ability
Theory of Numbers
Remainders
Properties of Remainders

322 
What is the sum of all twodigit numbers that give a remainder of 3 when they are divided by 7? Typ...
CAT
Quantitative Ability
Theory of Numbers
Remainders

323 
Find the last two digits of 78(379k+2), where k is a natural number Type in your answer as an integ...
CAT
Quantitative Ability
Theory of Numbers
Remainders

324 
In which of the following scale is the number 305 a perfect cube?
CAT
Quantitative Ability
Theory of Numbers
Base System

325 
How many three digit numbers in base 11 are possible such that when they are expressed in base 9, ha...
CAT
Quantitative Ability
Theory of Numbers
Base System

326 
Find the total number of possible values of 'n' if n perfectly divides (3030)31 and is ...
CAT
Quantitative Ability
Theory of Numbers
Base System

327 
The last two digit in the expansion of (1989)91â€‹ : Type in your answer as an integer. For example, ...
CAT
Quantitative Ability
Theory of Numbers
Remainders

328 
A palindromic number reads the same forward and backward. A palindromic number with even number of d...
CAT
Quantitative Ability
Theory of Numbers
Base System

329 
Which of the following can never be true?
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
HCF, LCM

330 
Area of an equilateral triangle is 49√3 cm2. Radius of the circle circumscribing the triangle ...
CAT
Quantitative Ability
Geometry
Triangles
Area of Triangle

331 
A letter is chosen at random from the word 'SURREPTITIOUS'. Find the probability that it'...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

332 
A rectangle and an equilateral triangle with equal area are inscribed in a circle with radius, 2. ...
CAT
Quantitative Ability
Geometry
Mensuration

333 
ICICI bank offers a 1year loan to a company at an interest rate of 20 percent payable at maturity, ...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest

334 
Four circular cardboard pieces, each of diameter 28 cm are placed in such a way that each piece touc...
CAT
Quantitative Ability
Geometry
Circles
Perimeter and Area of Circles and Sectors

335 
A six digit number which consists of only one digit either 1, 2, 3, 4, 5, 6, 7, 8 or 9, for exa...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations

336 
A fort had the provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The n...
CAT
Quantitative Ability
Arithmetic
Time and Work

337 
What would be the cost of building a 7 m wide garden around a circular field with a diameter of 280 ...
CAT
Quantitative Ability
Geometry
Circles
Perimeter and Area of Circles and Sectors

338 
In the given figure, PS is a tangent to a circle with radius 10 cm and centre at O. PQ = 9 cm and th...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Tangent

339 
Two superfast trains, which travel at speeds of 120 km/hr and 150 km/hr, left the Beijing Railway S...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

340 
In the given figure, two circles with their centres O and O’ intersect each other at A and B. ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles

341 
In the given triangle ABC, DE is drawn parallel to BC such that AD:DB is 2:1 and DE is 14 cm. A circ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Tangent

342 
A cuboid of dimension 24cm * 9 cm * 8cm is melted and smaller cubes are of side 3 cm is formed....
CAT
Quantitative Ability
Geometry
Mensuration

343 
A roller is 8 m long and has a diameter of 0.7 m. It takes exactly 1000 rotations of the roller to l...
CAT
Quantitative Ability
Geometry
Mensuration

344 
A quadrilateral is obtained by joining the mid points of a rectangle. Further, a rectangle is obtain...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Quadrilaterals
Rectangle

345 
Khushi and Arushi start simultaneously from point A towards point B, which is 30 km away. Khushi tra...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

346 
Find the remainder when 21990 is divided by 1990. Type in your answer as an integer. For examp...
CAT
Quantitative Ability
Theory of Numbers
Remainders

347 
The equation of the line passing through the point (1,3) and perpendicular to the line whose equatio...
CAT
Quantitative Ability
Geometry
Coordinate Geometry
Other Coordinate Geometry Concepts
Equation of a Line

348 
Find a and b such that (x + 1) and (x + 2) are factors of the polynomial x 3 +a ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Polynomials
Operations on Polynomials

349 
If P(7,y), Q(2,4) and R(6,10) are three points such that PR=PQ, the value of y is:
CAT
Quantitative Ability
Geometry
Coordinate Geometry
Distance Formula

350 
ABCDEF is a regular hexagon. Another hexagon PQRSTU is made by joining midpoints of each side. Ratio...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Other Polygons
Regular Polygons

351 
The coordinates of the points which divides the line joining (1,7) and (4,3) in the ratio 2:3 is: ...
CAT
Quantitative Ability
Geometry
Coordinate Geometry
Section Formula

352 
How many positive integer values can x take that satisfy the inequality (x  8) (x  10) (x  12)......
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Inequations

353 
The area of a trapezium is 96 cm2. If its parallel sides are in ratio 3:5, and the perpendicular dis...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Quadrilaterals
Trapezium

354 
The area of the four walls of a room is 660 m2 and its length is twice its breadth. If its height is...
CAT
Quantitative Ability
Geometry
Mensuration
Cubes and Cuboids

355 
A closed wooden box measures externally 10 cm long, 8 cm board and 6 cm high. The thickness of wood ...
CAT
Quantitative Ability
Geometry

356 
Three cubes each of volume of 216 m3 are joined end to end. Find the surface area of the resulting f...
CAT
Quantitative Ability
Geometry
Mensuration

357 
An isosceles PQR with base PQ = 6 cm, PR = RQ and RPQ = 30° is inscribed in a circle. A small ci...
CAT
Quantitative Ability
Geometry
Triangles
Circles

358 
A circle is inscribed inside a square. The square is inscribed inside another circle. If the area of...
CAT
Quantitative Ability
Geometry
Circles

359 
The Centroid of a triangle having coordinates (2,4), (7,4) and (0,4) is
CAT
Quantitative Ability
Geometry
Coordinate Geometry
Section Formula

360 
Every morning, Rajesh goes for a morning walk. He starts from his house and walks up to a river whic...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

361 
In the given figure, AD=BA, BDA=54o, BC and CD are tangents to the circle with centre O. Measure of ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Tangent

362 
The coordinates of the midpoint of a line segment PQ are (1,2). If the coordinates of P are (3,...
CAT
Quantitative Ability
Geometry
Coordinate Geometry
Section Formula

363 
An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. The area of the tria...
CAT
Quantitative Ability
Geometry
Triangles
Area of Triangle

364 
Delhi Metro Corporation engaged 25,000 workers to complete the project of IP state to Dwarka Metro L...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Percentages

365 
The equation of the line passing through the points A(0,4) and B(6,2) is
CAT
Quantitative Ability
Geometry
Coordinate Geometry
Other Coordinate Geometry Concepts
Equation of a Line

366 
A man is walking on an ascending escalator. He takes 8 steps to reach the top of the 40 step escalat...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

367 
Let a, b, c, d and e be integers such that a = 6b = 12c, and 2b = 9d = 12e. Then which of the follow...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Ratio

368 
Consider the following statements: Statement A: Prime numbers are numbers with exactly two factors:...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations

369 
Rose and Emily started from two different places 129 km away, simultaneously towards each other.&nbs...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

370 
Ronald and Mikhail run three races of 1000 meters each. In the first race, when both start running t...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

371 
The ratio of the area of a square of side a cm and an equilateral triangle of side a cm is
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Quadrilaterals
Square

372 
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 k...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance
Relative Speed

373 
Anil throws a biased coin on which heads appears in 70% of the trials. In a game involving this coin...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability

374 
Walking at 3 4 of his normal speed, Amit is 16 minutes late in reaching his office. The usual ...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

375 
The GhaziabadHapurMeerut EMU and the MeerutHapurGhaziabad EMU start at the same time from Ghazia...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

376 
In the given figure, ABCD is a square (all sides are equal and all internal angles are 90o) and DCE ...
CAT
Quantitative Ability
Geometry
Triangles
Properties of Triangles

377 
A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream a...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

378 
Train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length in metres...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

379 
ABCD is a trapezium in which AB is parallel DC, BD is a diagonal and E is the midpoint of AD. A line...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Quadrilaterals
Trapezium

380 
The sides of a triangular plot are in the ratio of 3:5:4 and its perimeter is 36 m. Its area is: &n...
CAT
Quantitative Ability
Geometry
Triangles
Area of Triangle

381 
A train crosses a man travelling in another train in the opposite direction in 10 seconds. But the t...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

382 
A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3...
CAT
Quantitative Ability
Arithmetic
Time and Work

383 
A can do a certain job in 12 days. B is 60% more efficient than A. The number of days, it takes B to...
CAT
Quantitative Ability
Arithmetic
Time and Work

384 
Three pipes A, B and C can fill a cistern in 36 minutes. A,B and C are opened simultaneously. A...
CAT
Quantitative Ability
Arithmetic
Time and Work

385 
A reduction of 20% in the price of sugar enables housewife to purchase 6 kg more for RS. 240. What i...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

386 
Let Sk be the sum of the first k terms of the arithmetic progression t1, t2, ..., tk. If Sm/Sn = m2/...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP

387 
Ron can do a piece of work in 8 days which Goofy can finish in 12 days. If they work on alterna...
CAT
Quantitative Ability
Arithmetic
Time and Work

388 
Two dice are thrown simultaneously. Find the probability of getting a multiple of 2 on one dice and ...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

389 
In the given figure, AED = ABC. Find the value of x. Type in your answer as an integer. For examp...
CAT
Quantitative Ability
Geometry
Triangles
Similarity of Triangles

390 
What is the remainder when 123 × 124 × 125 is divided by 9?
CAT
Quantitative Ability
Theory of Numbers
Remainders

391 
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the ...
CAT
Quantitative Ability
Arithmetic
Time and Work

392 
If α, β be the roots of the quadratic equation x 2 − 5x + ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations

393 
The set of the squares of all integers can be represented as
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations
Representation of Numbers
Families of Integers

394 
A swimming pool 150 m long and 50 m wide is 1 m deep at the shallow end and 6 m deep at the deep end...
CAT
Quantitative Ability
Geometry
Mensuration

395 
When Charlie visited a chocolate factory, he stole from a tincan some chocolate milkshake that had ...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

396 
A is twice as efficient as B. A can complete a job 30 days before B. In how many days can they ...
CAT
Quantitative Ability
Arithmetic
Time and Work

397 
5 men and 2 boys working together can do four times as much work per hour as 1 man and&nbs...
CAT
Quantitative Ability
Arithmetic
Time and Work

398 
Harry and Ron are wizards who fly on magic broomsticks. They can fly at 22 m/s and 11 m/s respective...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

399 
Two friends – Prakash and Arpit – started running simultaneously from a point P in the s...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

400 
Solve x4 + 4x3 12x2 <= 0
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Inequations

401 
The digit in the units place of the number represented by ( 7 95 − 3 58 ) is Type in...
CAT
Quantitative Ability
Theory of Numbers
Remainders
Properties of Remainders

402 
If 4/5th of a cistern is filled in 1 minute, how much more time will be required to fill the rest of...
CAT
Quantitative Ability
Arithmetic
Time and Work

403 
The difference between the simple interest received from two banks on Rs 1000 for 3 years is Rs 60/...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest
Simple Interest

404 
If c is positive and 2a x 2 +3bx+5c=0 doesn’t have any real root, then ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Quadratic Equations

405 
A bird is sitting on the last coach at the very end of a 100 m long train, travelling at speed of 36...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

406 
Sachin and Sunil started with a speed of 40 km/hr and 18 km/hr respectively on their bikes for Patna...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

407 
Bennett distribution company, a subsidiary of a major cosmetics manufacturer Bavlon, is forecasting ...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest

408 
Let f(x)=a x 2 +bx+c , where a, b and c are Real numbers, where ‘a’ is not equal to ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Quadratic Equations

409 
Mohan and Rakesh are two friends. Mohan lives in 'VillaKila' and Rakesh lives in 'Killa...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

410 
Express 0.5 85 ¯ in p/q form ...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations

411 
The centroid of an isosceles triangle divides each median in the ratio:
CAT
Quantitative Ability
Geometry
Triangles

412 
Consider three friends A, B and C who work at different speeds. When the slowest two work together, ...
CAT
Quantitative Ability
Arithmetic
Time and Work

413 
A leak in the bottom of a tank can empty the full tank in 6 h. An inlet pipe fills water at the rate...
CAT
Quantitative Ability
Arithmetic
Time and Work

414 
What is the remainder when the given polynomial p(x) is divided by x? Type in your answer as an i...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Graphs of Functions

415 
A can do a piece of work in ‘x’ days and B can do it in ‘y’ days, where x an...
CAT
Quantitative Ability
Arithmetic
Time and Work

416 
Two friend A and B working together completed a work in 26 days. Their skills of doing the work are ...
CAT
Quantitative Ability
Arithmetic
Time and Work

417 
(x2) men can do a piece of work in x days and (x + 7) men can do 75% of the same work in (x –...
CAT
Quantitative Ability
Arithmetic
Time and Work

418 
What is the least possible number which when divided by 13 leaves a remainder 3 and when it is divid...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

419 
A tank has two inlet pipes which can fill the empty tank in 12 hours and 15 hours working aloneand o...
CAT
Quantitative Ability
Arithmetic
Time and Work

420 
Maya can complete a piece of work in 53 days if she works alone. The work is started by Maya and on ...
CAT
Quantitative Ability
Arithmetic
Time and Work

421 
A group of 11 friends reserved 2 circular tables in a restaurant for dinner. One table has 5 chairs ...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Circular Permutation

422 
In the given triangle, AD bisects A. The largest side among AB, BD and CD is: Type in your a...
CAT
Quantitative Ability
Geometry
Triangles
Properties of Triangles

423 
In triangle ABC, CE and BF are medians to equal sides AB and AC respectively. Which of the following...
CAT
Quantitative Ability
Geometry
Triangles
Similarity of Triangles

424 
In the given figure, AB measures 40 cm and BD measures 60 cm. BD is the angle bisector of both  ...
CAT
Quantitative Ability
Geometry
Triangles
Congruency of Triangles

425 
Find the least number which must be subtracted from 9269 so that resulting number is exactly divisib...
CAT
Quantitative Ability
Theory of Numbers
Remainders
Properties of Remainders

426 
The perimeter of an isosceles triangle is 28 cm and the ratio of the length of the lateral...
CAT
Quantitative Ability
Geometry
Triangles
Area of Triangle

427 
Which of the points indicated by the labels P, Q, R, S, and T on the number line below has the secon...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations

428 
Amar is 20% less efficient than Sachin. Amar, when working alone, takes 30 days to finish the job. H...
CAT
Quantitative Ability
Arithmetic
Time and Work

429 
In triangle ABC, AC is parallel to DE. AD:DB = 1:2. What is the length of BE? Type in your answer...
CAT
Quantitative Ability
Geometry
Triangles
Similarity of Triangles

430 
An equilateral triangle has a side of 12 cm. Find the area (in sq. cm) formed by the incentre, centr...
CAT
Quantitative Ability
Geometry
Mensuration

431 
For triangles ABD and CDB, AD = DC and AB = CB. Find (x + y) Type in your answer as an integer. F...
CAT
Quantitative Ability
Geometry
Triangles
Similarity of Triangles

432 
What is the number of zeroes at the end of the product 101×102×103×104×105...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
Numbers, Properties & Operations
Probability

433 
Triangle ABC is an equilateral triangle. The measure of BAD (in degrees) is Type in yo...
CAT
Quantitative Ability
Geometry
Triangles
Properties of Triangles

434 
A can finish a work in 12 days and B can do it in 15 days. After A has worked for 3 days, B als...
CAT
Quantitative Ability
Arithmetic
Time and Work

435 
A petrol tank at a filling station has a capacity of 400 litres. The attendant sells 40 litres of pe...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

436 
Payal has to arrange five fruits, 3 identical Oranges, and 2 identical Pears, in a round plate,...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Circular Permutation

437 
Area of the triangle, two sides of which are 32 cm and 40 cm, and perimeter 96 cm, is: Type i...
CAT
Quantitative Ability
Geometry
Triangles
Area of Triangle
Heron's Formulae

438 
A bag contains 6 red jelly beans, 4 green jelly beans, and 4 blue jell...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability
Independent Events

439 
In the given figure, AC = AE, AB = AD, and ∠BAD = ∠EAC. The length of side DE is: Type in...
CAT
Quantitative Ability
Geometry
Triangles
Similarity of Triangles

440 
There are four empty jars, to be filled with milk, water, honey and wine respectively. The ratio of ...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Ratio

441 
Which is the largest side of the following triangle? Type in your answer in a clockwise mann...
CAT
Quantitative Ability
Geometry
Triangles
Properties of Triangles

442 
A boy with height 90 cm is standing parallel to the lamp post, which is 3.6 m away from the boy...
CAT
Quantitative Ability
Geometry
Triangles
Similarity of Triangles

443 
ABCD is a rectangle and E is a point on the line parallel to diagonal BD. BC is 4 cm and area o...
CAT
Quantitative Ability
Geometry
Triangles
Area of Triangle

444 
ΔABC and ΔPQR are two similar triangles such that the ratio of the areas of ΔABC a...
CAT
Quantitative Ability
Geometry
Triangles
Area of Triangle

445 
Given the value of a1, b1, c1, a2, b2, c2 ≠ 0 and the following 2 linear equations, can the...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Linear Equations

446 
In the given figure, l is a line parallel to base BC. l intersects AB and AC at D and E respect...
CAT
Quantitative Ability
Geometry
Triangles
Similarity of Triangles

447 
In an Introductory Literature class, the professor may choose one of three specified novels, and cho...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

448 
A cow is tied to a peg at one corner of an equilateral triangle shaped grass field by means of a 21 ...
CAT
Quantitative Ability
Geometry
Circles
Perimeter and Area of Circles and Sectors

449 
An artist bought two cans of equal capacity filled with paint to their brims. The first can containe...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

450 
If the ratio of the perimeters of the two similar triangles is 3:1, then the ratio of their area is:...
CAT
Quantitative Ability
Geometry
Triangles
Area of Triangle

451 
Consider a, b and c in a G.P. such that  a+b+ c =15 . The median of these three terms is a , and b...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP

452 
Area of the triangle given in the figure below is: Type in your answer as an integer. For ex...
CAT
Quantitative Ability
Geometry
Triangles
Area of Triangle

453 
Boxes numbered 1, 2, 3, 4 and 5 are kept in a row, each of which are to be filled with one ball, eit...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

454 
The area of a rhombus each one of whose sides measures 10 cm and one diagonal is 12 cm is Type in y...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Quadrilaterals
Rhombus

455 
An order was placed for the supply of a rectangular carpet of breadth 3 m. The length of carpet was ...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Quadrilaterals
Rectangle

456 
In the figure given below, ABCD is a rectangle. Area of triangle ABE = 15 cm2. If EC = 2.BE, then th...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Quadrilaterals
Rectangle

457 
It is given that N is a recurring decimal given by N=0.abc ¯ where at most two of a, b, c ar...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations
Representation of Numbers
Classification of numbers

458 
Find the area bounded by the curves 30 = 10x  y and 20 = 4y  5x (in sq. units) Type in yo...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Special Functions
Modulus
Graphs of Functions

459 
Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed ...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

460 
Three varieties of premium basmati rice costing Rs. 60 per kg, Rs. 70 per kg and Rs. 90 per kg are m...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Percentages

461 
The perimeter of a regular hexagon is 108 m. Area of the hexagon is:
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Other Polygons
Regular Polygons

462 
The area of a rectangular field is 460 square metres. If the length is 15 percent more than the brea...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Quadrilaterals
Rectangle

463 
The interior angles, in degrees of a polygon, are all distinct integers. If the greatest interior an...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons

464 
Two numbers are in the ratio 17:13. If their HCF is 15, what is the sum of two numbers? Type in you...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
HCF, LCM

465 
In the figure given below, ‘a’ is the side of square ABCD and EFGH, IJKL, MNOP and QRST ...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Quadrilaterals
Rectangle

466 
There are 5 black pens, 3 white pens, and 4 red pens in a box. In how many ways can 2 black pen...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Combination

467 
A dealer offers a cash discount of 20% and still makes a profit of 20% when he further allows 16 art...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

468 
The length of a side of a rhombus is 5 m and one of its diagonals is of length 8 m. The ot...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Quadrilaterals
Rhombus

469 
In a quadrilateral ABCD, AC and BD intersect at O such that AB = 16 cm, AO = 15 cm, OB = 5 cm, BC = ...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons

470 
If an article is sold at a gain of 6% instead of at a loss of 6%, then the seller gets Rs 12 more. T...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

471 
In the adjoining figure all the circles are identical and nonoverlapping. The outer circle touch th...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons

472 
If the sum of four natural numbers in AP is 60 and the sum of their squares is 920, find the smalles...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP

473 
ABCDEFGH is a regular octagon where the diagonals AC and BH intersect at O. what is the measure of &...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons

474 
Given that there are 5 basketball players per team, in how many ways can you select 2 basketball pla...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Combination

475 
In the figure shown below, what is the ratio of the area of the outer and the inner regular hexagon,...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons

476 
A cardboard piece was cut from a regular polygon, and thrown away. Tatenda picked up this ...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Other Polygons

477 
Two pipes A and B can fill a tank in 24 hours and 120/7hours respectively. Harihar opened the pipes ...
CAT
Quantitative Ability
Arithmetic
Time and Work

478 
ABCD is a trapezium in which AD and BC are parallel. If the four sides AB, BC, CD and DA are re...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Quadrilaterals

479 
A trader sells goods to a costumer at a profit of k% over the cost price, besides it he cheats his c...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

480 
a2n  b2n , for any positive integral values of n, is always divisible by ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Polynomials, Functions and Graphs
Polynomials
Algebraic Identities

481 
ΔABC and ΔDBF are equilateral triangles such that D is midpoint of BC. What is the rati...
CAT
Quantitative Ability
Geometry
Triangles
Area of Triangle

482 
ABCD is a quadrilateral. The diagonals of ABCD intersect at the point P. The area of the triangles A...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons

483 
A string of length 24 inches is bent into in the form of a square named ABCD and then into the form ...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons

484 
In the given figure, ABHG and EFCD are two parallelograms. What is the measure of HXF? Type in yo...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Quadrilaterals
Parallelogram

485 
A rectangle is inscribed in a circle centre O as shown below, with AB = 5, BC = 12 and angle &a...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Angles in a Circle

486 
In the figure given below, O, Q, P, R are respective centres of circles of different radii and each ...
CAT
Quantitative Ability
Geometry
Circles

487 
A circle with radius 2 is placed against a right angle. Another smaller circle is also placed as sho...
CAT
Quantitative Ability
Geometry
Circles

488 
Which of the following is incorrect?
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

489 
Rajiv is a student in a business school. After every test he calculates his cumulative average. QT a...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Averages

490 
PQRS is a square. SR is a tangent (at point S) to the circle with centre O and TR = OS. Then the rat...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents

491 
Out of 5 people, 3 are to be seated around a circular table. In how many ways can they sit? Type in...
CAT
Quantitative Ability
Combinatorics and Probability
Counting Principles
Permutation
Circular Permutation

492 
In the given figure AMD, APQ and ASR are secants to the given circles. IF AM=4 cm, MD=6 cm and...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Chord

493 
Two circles of radius 1 cm. touch at point P. A third circle is drawn through the points A, B, and C...
CAT
Quantitative Ability
Geometry
Circles

494 
In the given figure, O is the center of the circle. AC, the diameter of the circle, measures 26 cm. ...
CAT
Quantitative Ability
Geometry
Triangles
Pythagoras Theorem
Circles

495 
Three balls are placed inside a cone such that each ball is in contact with the edge of the cone and...
CAT
Quantitative Ability
Geometry
Mensuration
Cones and Cylinders

496 
A right circular cone is cut parallel to its base at one third of its height from the top. Find the ...
CAT
Quantitative Ability
Geometry
Mensuration

497 
In the square below, each vertex is joined to the midpoint of the opposite sides and a star shape is...
CAT
Quantitative Ability
Geometry
Mensuration

498 
There's a lot of work in preparing a birthday dinner. Even after the turkey is in oven, there ar...
CAT
Quantitative Ability
Arithmetic
Time and Work

499 
If  y ≥5 and x = −( y 5 ) k  , then which one of the following is n...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Linear Equations
Inequations

500 
A class of 15 students got an average of 50 marks in an exam, while another class of 30 students got...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

501 
A milkman purchases 10 litres of milk at Rs. 7 per litre and forms a mixture by adding freely availa...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

502 
A goldsmith mixes two types of alloys. He takes 6 kg of the first alloy containing gold and silver i...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

503 
Three math classes; X, Y, and Z, take an algebra test. The average score in class X is 83. The avera...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Averages

504 
Wheat is now being sold at Rs. 27 per kg. During last month its cost was Rs. 24 per kg. Find by how ...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Percentages

505 
A 4 inch long and 6 inch wide photo is scaled proportionally. Find the width of the new scaled photo...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Ratio

506 
What is the remainder when S = 1! + 2! + 3! +…….+ 19! + 20! is divided by 20? Type in...
CAT
Quantitative Ability
Theory of Numbers
Remainders

507 
Three numbers are in continued proportion. Their mean proportional is 10 and the sum of the other tw...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Ratio

508 
The remainder when (888!) 999 169 is divided by 77 is : Type in your answer as an ...
CAT
Quantitative Ability
Theory of Numbers
Remainders

509 
32 litres of milk and water solution contains 84% milk. How much water (in litres) should be added t...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

510 
9 litres out of 90 litres milk are replaced with an equal quantity of water. Again 9 litres of the r...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

511 
Two dice are tossed. The probability that the total score is a prime number is: Type in your answer...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

512 
Amber Chew opened a departmental store at Great India Palace in Noida by investing Rs. 20 million. A...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Ratio

513 
A dishonest shopkeeper professes to sell cloth at the cost price but uses faulty meter rod. His mete...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

514 
Mukesh bought two mobiles each at Rs 54000/. On one mobile he made a profit of 20% and on other mob...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

515 
If a 3 digit number 'abc' has 2 factors (where a, b, and c are integers), how many factors d...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

516 
In how many ways can 1146600 be written as a product of...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
Properties of Factors

517 
A shopkeeper professes to sell his goods at cost price but uses 800gm instead of 1 kg, what is profi...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

518 
A test has twenty questions worth 100 points. The test consists of True/False questions worth ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations
Linear Equations

519 
A vendor sells his article at a certain profit percentage. If he sells his article at 1/3 of the act...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

520 
For a triangle ABC right angled at A, AD is a perpendicular drawn on BC. Which of the foll...
CAT
Quantitative Ability
Geometry
Triangles
Similarity of Triangles

521 
A milkman mixes 20 litres of water with 80 litres of milk. After selling onefourth of this mixture,...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

522 
In a race, the odds in favor of cars P, Q, R, S are 1:3, 1:4, 1:5 and 1:6 respectively. Find th...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Probability Basics

523 
At the end of year 1998, Shepard bought nine dozen goats. Henceforth, every year he added p% of the ...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Percentages

524 
Three boxes contain 6 red, 4 black; 5 red, 5 black and 4 red, 6 black balls respectively. One of the...
CAT
Quantitative Ability
Combinatorics and Probability
Probability
Advanced Probability

525 
Four high school football teams, Gryffindor, Ravenclaw, Hufflepuff and Slytherin, had qualified to p...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Ratio

526 
A group of workers was put on a job. From the second day onwards, one worker was withdrawn each day....
CAT
Quantitative Ability
Arithmetic
Time and Work

527 
A vessel is completely filled with petrol. 10 litres is drawn from this vessel and replaced with ker...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

528 
The ratio of the sum to n terms of two APs is (7n+1): (4n+27), then the ratio of their 9th term...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP

529 
In the figure given below, ABCD is a concave quadrilateral, and ∠BAD = 90°, BA = AD = 6 cm a...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Quadrilaterals

530 
A, B and C started a business by investing 1/2, 1/3rd and 1/6th of the capital respectively. After 1...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Ratio

531 
PR and QP are tangents to the bigger circle, PS and PR are tangents to the smaller circle. Length of...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles
Chords, Secants andTangents
Tangent

532 
A rectangular plot with an area 600 m2 is fenced, the length of fencing being 100 m. The length of t...
CAT
Quantitative Ability
Geometry
Quadrilaterals and Polygons
Quadrilaterals
Rectangle

533 
Rahul went to purchase a nokia mobile handset , the shopkeeper told him to pay 20% tax if he asked t...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

534 
Rs. 3500 was lent partly @ 4% and partly @6% SI. The total interest received after 3 years is 498. W...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest
