HCF and LCM Quiz Set 020

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Question 1

Which is the smallest number which when divided by 9, 14 or 16 leaves 3, 8, 10 as the respective remainders?

 A

1002.

 B

1003.

 C

1001.

 D

1004.

Soln.
Ans: a

By inspection, the difference between the numbers and their respective remainders is same = 6. The LCM of 9, 14 and 16 = 1008. So the required number is 1008 - 6 = 1002.


Question 2

What is the LCM of 7, $1{6/13}$ and ${18/19}$?

 A

2394.

 B

2395.

 C

2396.

 D

2397.

Soln.
Ans: a

The LCM of numerators 7, 19 and 18 is 2394. The HCF of denominators 1, 13 and 19 is 1. So the required LCM of the given fractions is 2394/1 = 2394.


Question 3

Find the largest number that divides each of the numbers 6, 90 and 70 and leaves the same remainder?

 A

4.

 B

6.

 C

5.

 D

7.

Soln.
Ans: a

The pair-wise differences are (6 and 90) = 84, (90 and 70) = 20, (70 and 6) = 64. The required number is HCF of 84, 20 and 64 = 4.


Question 4

Find the least possible number that can be divided by 42, 90 as well as 126?

 A

630.

 B

1260.

 C

315.

 D

1890.

Soln.
Ans: a

The required number is LCM = 630.


Question 5

Find the least possible number that can be divided by 18, 12 as well as 108?

 A

108.

 B

216.

 C

54.

 D

324.

Soln.
Ans: a

The required number is LCM = 108.


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This Blog Post/Article "HCF and LCM Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-08-12.

Posted by Parveen(Hoven),
Aptitude Trainer


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