1 
A twodigit number is such that it is the product of two distinct perfect squares. The tens digit, u...
CAT
Quantitative Ability
Algebra
Sequences and Series
AP, GP
AP
Theory of Numbers
Numbers, Properties & Operations

2 
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

3 
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

4 
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

5 
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

6 
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

7 
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

8 
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

9 
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

10 
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

11 
Consider the following statements: Statement A: Prime numbers are numbers with exactly two factors:...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations

12 
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

13 
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

14 
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

15 
Express 0.5 85 ¯ in p/q form ...
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations

16 
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

17 
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

18 
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

19 
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

20 
Which one of the following statements is not correct?
CAT
Quantitative Ability
Theory of Numbers
Numbers, Properties & Operations
Representation of Numbers
Classification of numbers

21 
( 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

22 
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

23 
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

24 
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

25 
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

26 
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

27 
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

28 
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
