# HCF and LCM Quiz Set 007

### Question 1

What is the LCM of 27, 102 and 135?

A

4590.

B

9180.

C

2295.

D

13770.

Soln.
Ans: a

The required LCM = 4590.

### Question 2

What is the HCF of 36, 48 and 27?

A

3.

B

6.

C

1.

D

9.

Soln.
Ans: a

The required HCF = 3.

### Question 3

The sum of LCM and HCF of two numbers is 188 and LCM is 93 times the HCF. If one of the two numbers is 186, then the other number is?

A

2.

B

4.

C

3.

D

5.

Soln.
Ans: a

Let L be the LCM, and H the HCF. Then H + L = 188, and L = 93H. Solving these for H, we get H = \$188/{93 + 1}\$ = 2, and L = 186. The product of the two numbers is equal to the product of the lcm and hcf = 2 × 186 = 372. The other number is 372/186 = 2.

### Question 4

Two numbers are in the ratio 4 : 1. If their HCF and LCM are 12 and 48, which of these is the smaller number?

A

12.

B

24.

C

48.

D

6.

Soln.
Ans: a

Since the numbers are in an integral ratio, the LCM is equal to the larger number, and HCF is equal to the smaller number. So the smaller is 12.

### Question 5

The product of LCM and HCF of two numbers is 3720? If one of the numbers is 62, what is the other?

A

60.

B

62.

C

61.

D

63.

Soln.
Ans: a

Product of two numbers is equal to the product of their LCM and HCF. So the other number is \$3720/62\$ = 60.

This Blog Post/Article "HCF and LCM Quiz Set 007" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer