HCF and LCM Quiz Set 001

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Question 1

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 2

Find the largest number that divides each of the numbers 24, 90 and 112 and leaves the same remainder?

 A

22.

 B

24.

 C

23.

 D

25.

Soln.
Ans: a

The pair-wise differences are (24 and 90) = 66, (90 and 112) = 22, (112 and 24) = 88. The required number is HCF of 66, 22 and 88 = 22.


Question 3

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 4

Three cyclists are cycling in a circular track. They, respectively, take 2, 9 and 18 minutes to complete the circle once. After how many minutes will they all again meet at a single point?

 A

18 minutes.

 B

36 minutes.

 C

9 minutes.

 D

19 minutes.

Soln.
Ans: a

The answer lies in finding the LCM of their times. The LCM of 2, 9 and 18 = 18.


Question 5

Which is the largest number that divides 30 by leaving a remainder 7, and also divides 31 by leaving a remainder 8?

 A

23.

 B

24.

 C

22.

 D

25.

Soln.
Ans: a

The required number is the HCF of 30 - 7 = 23 and 31 - 8 = 23. HCF of 23 and 23 is 23.


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This Blog Post/Article "HCF and LCM Quiz Set 001" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-06-22.

Posted by Parveen(Hoven),
Aptitude Trainer


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