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 1-20, 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 five-digit 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 vice-president 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(A|B) = P(B|A), then CAT Quantitative Ability Combinatorics and Probability Probability Advanced Probability Conditional Probability
24	Isiah has a corporate proposal.  The probability that vice-president Alan will approve the... CAT Quantitative Ability Combinatorics and Probability Probability
25	In a bolt-making 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 well-shuffled 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 52-card deck, how many 5-card 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 non-negative 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 non-zero 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 cricket-eleven 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 3-digit 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 T-Shirts, 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 sell-off their spare un-used 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 75◦ 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 mid-points 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 3|-x| = 6 + 2|y| 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 +&nbsp... 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 3-digit 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 (x-1)3 is a factor of x4+ax3-bx2+cx-1 = 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 in-equations are satisfied: y = 6x2 - 13x + 6&nb... CAT Quantitative Ability Algebra Equations and Polynomials Equations Inequations
159	Find the number of non-negative 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&nbsp... CAT Quantitative Ability Theory of Numbers Factors, Multiples
164	A two-digit 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 3-digit 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 cube-shaped 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 eight-digit 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 ( n2n-1) 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&nbsp... 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 ( 3x-y+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) ​​​​​​​ ... 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 two-digit 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)91​ : 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&#39... 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 1-year 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 super-fast 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 co-ordinates of the mid-point of a line segment PQ are (1,-2). If the co-ordinates 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 Ghaziabad-Hapur-Meerut EMU and the Meerut-Hapur-Ghaziabad 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 +&nbsp... 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 tin-can 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 'Villa-Kila' 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	(x-2) 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 &nbsp... 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| - 5|x| (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 non-overlapping. 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 mid-point 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 one-fourth 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