Number System - Quantitative Aptitude Questions & Tricks

1

What is the LCM of 12, 18, and 24?

A.72

B.36

C.48

D.144

2

Find the HCF of 48 and 64.

A.16

B.8

C.12

D.24

3

What is the unit digit of 7^85?

A.7

B.3

C.9

D.1

4

Which of the following is divisible by 11?

A.29876

B.83456

C.29513

D.10110

5

A number when divided by 5 gives remainder 3, and when divided by 7 gives remainder 4. What is the smallest such number?

A.18

B.28

C.23

D.38

6

How many factors does 360 have?

A.24

B.18

C.12

D.36

7

If a number is divisible by both 4 and 6, it must be divisible by?

A.12

B.24

C.8

D.36

8

What is the remainder when 2^100 is divided by 3?

A.1

B.2

C.0

D.−1

9

The sum of two numbers is 36 and their HCF is 4. How many such pairs are possible?

A.2

B.3

C.4

D.1

10

What is the largest 4-digit number divisible by 32?

A.9984

B.9992

C.9960

D.9976

11

Find the number of zeros at the end of 25! (25 factorial).

A.6

B.4

C.5

D.8

12

Which smallest number should be added to 8261 to make it divisible by 9?

A.7

B.2

C.5

D.4

13

If the HCF of two numbers is 8 and their LCM is 96, and one number is 32, what is the other?

A.24

B.48

C.16

D.12

14

What is the unit digit of (243)^35 × (451)^29?

A.3

B.7

C.1

D.9

15

A number is divisible by 4 if?

A.Last two digits form a number divisible by 4

B.Sum of digits is divisible by 4

C.Last digit is even

D.Last digit is 0 or 4

16

What is the LCM of 2/3, 4/9, and 5/6?

A.20/3

B.20/9

C.4/3

D.10/9

17

Find the remainder when 7^7^7 (7 to the power 7^7) is divided by 4.

A.3

B.1

C.2

D.0

18

Three numbers are in ratio 2:3:4 and their LCM is 240. What is their HCF?

A.10

B.20

C.5

D.15

19

Which of the following is NOT a prime number?

A.91

B.97

C.89

D.83

20

The product of two numbers is 2160 and their HCF is 12. How many such pairs are possible?

A.4

B.2

C.3

D.5