1	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
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