HCF and LCM

 Welcome to Indian Defence Era, your go-to website for all things related to defense exam preparation. If you're an aspiring defense professional looking to crack exams like the HCF (Highest Common Factor) and LCM (Lowest Common Multiple), you've come to the right place!

As a defense aspirant, you know that preparation is the key to success. With cut-throat competition and rigorous selection processes, it's essential to be well-versed in all aspects of defense exams, including mathematical concepts like HCF and LCM. These topics are often included in defense exams to test candidates' analytical and problem-solving skills.

In this blog, we will provide you with 20 questions on HCF and LCM, ranging from moderate to advanced levels. Each question will have four options, and at the end, we will provide you with the correct answers. So, let's dive into these questions and sharpen your mathematical skills for your defense exam preparation!

1.What is the HCF of 24 and 36?

a) 6

b) 8

c) 12

d) 18

2.Find the LCM of 15, 20, and 30.

a) 60

b) 120

c) 150

d) 180

3.The HCF of two numbers is 7, and their LCM is 210. If one of the numbers is 35, find the other number.

a) 42

b) 45

c) 49

d) 56

4.Find the LCM of 2/3, 5/6, and 3/4.

a) 1/12

b) 5/12

c) 7/12

d) 9/12

5.The HCF of two numbers is 5, and their LCM is 100. If one of the numbers is 25, find the other number.

a) 15

b) 20

c) 30

d) 35

6.Find the HCF of 36, 48, and 72.

a) 6

b) 8

c) 12

d) 18

7.Find the LCM of 8, 12, and 20.

a) 80

b) 120

c) 160

d) 240

8.The HCF of two numbers is 6, and their LCM is 144. If one of the numbers is 24, find the other number.

a) 48

b) 54

c) 60

d) 72

9.Find the LCM of 7/10, 5/8, and 9/12.

a) 7/30

b) 5/24

c) 3/10

d) 3/4

10.The HCF of two numbers is 4, and their LCM is 36. If one of the numbers is 12, find the other number.

a) 8

b) 10

c) 18

d) 24

11.Find the HCF of 72, 96, and 120.

a) 12

b) 16

c) 24

d) 36

12.Find the LCM of 9, 15, and 18.

a) 45

b) 90

c) 135

d) 180

13.The HCF of two numbers is 3, and their LCM is 21. If one of the numbers is 7, find the other number.

a) 6

b) 12

c) 14

d) 21

14.Find the LCM of 3/5, 2/3, and 7/10.

a) 1/6

b) 1/5

c) 7/15

d) 7/30

15.The HCF of two numbers is 8, and their LCM is 128. If one of the numbers is 32, find the other number.

a) 24

b) 40

c) 48

d) 56

16.Find the HCF of 54, 72, and 90.

a) 9

b) 18

c) 27

d) 36

17.Find the LCM of 12, 18, and 24.

a) 36

b) 72

c) 108

d) 216

18.The HCF of two numbers is 15, and their LCM is 315. If one of the numbers is 45, find the other number.

a) 63

b) 70

c) 105

d) 126

19.Find the LCM of 4/7, 3/5, and 5/6.

a) 1/14

b) 1/10

c) 5/14

d) 5/21

20.The HCF of two numbers is 12, and their LCM is 240. If one of the numbers is 48, find the other number.

a) 60

b) 72

c) 84

d) 96

Correct Answers:

1. a) 6
2. a) 60
3. c) 49
4. b) 5/12
5. d) 35
6. c) 12
7. b) 120
8. a) 48
9. d) 3/4
10. c) 18
11. c) 24
12. b) 90
13. a) 6
14. c) 7/15
15. c) 48
16. a) 9
17. b) 72
18. c) 105
19. d) 5/21
20. c) 84.    

We hope these questions have helped you in honing your skills in HCF and LCM, which are essential mathematical concepts for defense exams. Remember to practice regularly and revise thoroughly to improve your chances of success in your defense exam.

Stay tuned to Indian Defence Era for more informative blogs and valuable resources to aid you in your defense exam preparation. Wishing you the best of luck in your endeavors to achieve your dreams in the defense sector!