HCF and LCM Quiz Set 006

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Question 1

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 2

Which is the least number which must be added to 21937 so that it becomes divisible by 21, 95 and 77?

 A

8.

 B

9.

 C

7.

 D

10.

Soln.
Ans: a

The LCM of 21, 95 and 77 = 21945. The lcm when divided by either of these numbers leaves the remainder 0. The minimum number to be added is 21945 - 21937 = 8.


Question 3

Which is the second smallest number, which, when divided by 12 and 60, leaves the remainder 7?

 A

127.

 B

67.

 C

187.

 D

53.

Soln.
Ans: a

The LCM of 12 and 60 = 60. All the numbers that leave remainder 7 upon being divided by either of the given two numbers are of the form 60k + 7. When k = 1, we get the smallest number, and k = 2 gives the next required number = 127.


Question 4

Three lights are flashing at regular intervals. They, respectively, flash after 6, 12 and 18 seconds. How many times do they together flash in 864 seconds?

 A

25 times.

 B

26 times.

 C

24 times.

 D

27 times.

Soln.
Ans: a

They will together flash after the LCM of their times. The LCM of 6, 12 and 18 = 36. So they will flash 1 + $864/36$ = 25 times.


Question 5

What is the HCF of $1{1/14}$, ${5/7}$ and ${3/4}$?

 A

${1/28}$.

 B

${1/14}$.

 C

${3/28}$.

 D

${1/7}$.

Soln.
Ans: a

The HCF of numerators 15, 5 and 3 is 1. The LCM of denominators 14, 7 and 4 is 28. So the required HCF of the given fractions is 1/28 = ${1/28}$.


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This Blog Post/Article "HCF and LCM Quiz Set 006" 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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