HCF and LCM Quiz Set 016

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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.


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This Blog Post/Article "HCF and LCM Quiz Set 016" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-06-24.

Posted by Parveen(Hoven),
Aptitude Trainer


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