HCF and LCM Quiz Set 018

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Question 1

What is the LCM of 48, 24 and 72?

 A

144.

 B

288.

 C

72.

 D

432.

Soln.
Ans: a

The required LCM = 144.


Question 2

Which is the smallest number, which, when divided by 21 and 75, leaves the remainder 3?

 A

528.

 B

530.

 C

527.

 D

531.

Soln.
Ans: a

The LCM of 21 and 75 = 525, is the smallest number, which, when divided by either of them leaves the remainder 0. Now adding, 525 + 3 = 528 is the required number.


Question 3

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 4

Which is the smallest number which when divided by 15, 9 or 16 leaves 9, 3, 10 as the respective remainders?

 A

714.

 B

715.

 C

713.

 D

716.

Soln.
Ans: a

By inspection, the difference between the numbers and their respective remainders is same = 6. The LCM of 15, 9 and 16 = 720. So the required number is 720 - 6 = 714.


Question 5

What is the HCF of ${6/19}$, ${13/14}$ and $2{2/5}$?

 A

${1/1330}$.

 B

${1/665}$.

 C

${3/1330}$.

 D

${2/665}$.

Soln.
Ans: a

The HCF of numerators 6, 13 and 12 is 1. The LCM of denominators 19, 14 and 5 is 1330. So the required HCF of the given fractions is 1/1330 = ${1/1330}$.


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Creative Commons License
This Blog Post/Article "HCF and LCM Quiz Set 018" 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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