HCF and LCM Quiz Set 003

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Question 1

Find the least possible number that can be divided by 42, 30 as well as 117?

 A

8190.

 B

16380.

 C

4095.

 D

24570.

Soln.
Ans: a

The required number is LCM = 8190.


Question 2

The product of LCM and HCF of two numbers is 450? If one of the numbers is 10, what is the other?

 A

45.

 B

47.

 C

46.

 D

48.

Soln.
Ans: a

Product of two numbers is equal to the product of their LCM and HCF. So the other number is $450/10$ = 45.


Question 3

The sum of LCM and HCF of two numbers is 712. If LCM is 88 times the HCF, then the product of the two numbers is?

 A

5632.

 B

5634.

 C

5633.

 D

5635.

Soln.
Ans: a

Let L be the LCM, and H the HCF. Then H + L = 712, and L = 88H. Solving these for H, we get H = $712/{88 + 1}$ = 8, and L = 704. The product of the two numbers is equal to the product of the lcm and hcf = 8 × 704 = 5632.


Question 4

What is the HCF of ${7/15}$, $1{7/12}$ and 3?

 A

${1/60}$.

 B

${1/30}$.

 C

${1/20}$.

 D

${1/15}$.

Soln.
Ans: a

The HCF of numerators 7, 19 and 3 is 1. The LCM of denominators 15, 12 and 1 is 60. So the required HCF of the given fractions is 1/60 = ${1/60}$.


Question 5

What is the LCM of 57, 24 and 81?

 A

12312.

 B

24624.

 C

6156.

 D

36936.

Soln.
Ans: a

The required LCM = 12312.


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Creative Commons License
This Blog Post/Article "HCF and LCM Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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