# HCF and LCM Quiz Set 016

### Question 1

Which is the largest number that divides 69 by leaving a remainder 2, and also divides 78 by leaving a remainder 11?

A

67.

B

68.

C

66.

D

69.

Soln.
Ans: a

The required number is the HCF of 69 - 2 = 67 and 78 - 11 = 67. HCF of 67 and 67 is 67.

### Question 2

The product of LCM and HCF of two numbers is 720? If one of the numbers is 72, what is the other?

A

10.

B

12.

C

11.

D

13.

Soln.
Ans: a

Product of two numbers is equal to the product of their LCM and HCF. So the other number is \$720/72\$ = 10.

### Question 3

What is the HCF of 42, 114 and 117?

A

3.

B

6.

C

1.

D

9.

Soln.
Ans: a

The required HCF = 3.

### Question 4

The LCM and HCF of two numbers 99 and 75 are in the ratio?

A

825.

B

\${2476/3}\$.

C

\${2477/3}\$.

D

826.

Soln.
Ans: a

The LCM of 99 and 75 is 2475, and their HCF is 3. The ratio is: 825.

### Question 5

What is the LCM of 27, 102 and 135?

A

4590.

B

9180.

C

2295.

D

13770.

Soln.
Ans: a

The required LCM = 4590. 