1 
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

2 
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

3 
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

4 
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

5 
Given two different prime numbers P and Q, which of the following is not true?
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

6 
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

7 
Which of the following can never be true?
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
HCF, LCM

8 
The least number which is a perfect square and has ...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

9 
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

10 
Find the largest number which will always divide the sum of cubes of three consecutive positive...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

11 
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

12 
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

13 
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

14 
In how many ways can 1146600 be written as a product of...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
Properties of Factors

15 
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

16 
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

17 
How many 3digit numbers are there which are divisible by only 3 distinct numbers? Type in you...
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples

18 
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

19 
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

20 
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

21 
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

22 
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

23 
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

24 
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

25 
Find the gcd (111…11 hundred ones ; 11…11 sixty ones).
CAT
Quantitative Ability
Theory of Numbers
Factors, Multiples
HCF, LCM

26 
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

27 
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

28 
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

29 
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
