HCF and LCM Quiz Set 015


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Question 1

Find the least possible number that can be divided by 33, 96 as well as 27?

 A

9504.

 B

19008.

 C

4752.

 D

28512.

Soln.
Ans: a

The required number is LCM = 9504.


Question 2

The product of LCM and HCF of two numbers is 6300? If one of the numbers is 75, what is the other?

 A

84.

 B

86.

 C

85.

 D

87.

Soln.
Ans: a

Product of two numbers is equal to the product of their LCM and HCF. So the other number is $6300/75$ = 84.


Question 3

Three lights are flashing at regular intervals. They, respectively, flash after 9, 18 and 27 seconds. How many times do they together flash in 432 seconds?

 A

9 times.

 B

10 times.

 C

8 times.

 D

11 times.

Soln.
Ans: a

They will together flash after the LCM of their times. The LCM of 9, 18 and 27 = 54. So they will flash 1 + $432/54$ = 9 times.


Question 4

What is the HCF of 6, 84 and 171?

 A

3.

 B

6.

 C

1.

 D

9.

Soln.
Ans: a

The required HCF = 3.


Question 5

Three lights are flashing at regular intervals. They, respectively, flash after 21, 42 and 63 seconds. How many times do they together flash in 1008 seconds?

 A

9 times.

 B

10 times.

 C

8 times.

 D

11 times.

Soln.
Ans: a

They will together flash after the LCM of their times. The LCM of 21, 42 and 63 = 126. So they will flash 1 + $1008/126$ = 9 times.


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This Blog Post/Article "HCF and LCM Quiz Set 015" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-02

Posted by Parveen(Hoven),
Aptitude Trainer


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