HCF and LCM Quiz Set 018

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Question 1

Which is the largest number that divides 20 by leaving a remainder 5, and also divides 86 by leaving a remainder 11?

 A

15.

 B

16.

 C

14.

 D

17.

Soln.
Ans: a

The required number is the HCF of 20 - 5 = 15 and 86 - 11 = 75. HCF of 15 and 75 is 15.


Question 2

What is the HCF of $1{5/8}$, $1{3/5}$ and ${5/17}$?

 A

${1/680}$.

 B

${1/340}$.

 C

${3/680}$.

 D

${1/170}$.

Soln.
Ans: a

The HCF of numerators 13, 8 and 5 is 1. The LCM of denominators 8, 5 and 17 is 680. So the required HCF of the given fractions is 1/680 = ${1/680}$.


Question 3

What is the HCF of 15, 66 and 153?

 A

3.

 B

6.

 C

1.

 D

9.

Soln.
Ans: a

The required HCF = 3.


Question 4

Which is the smallest number, which, when divided by 21 and 85, leaves the remainder 8?

 A

1793.

 B

1795.

 C

1792.

 D

1796.

Soln.
Ans: a

The LCM of 21 and 85 = 1785, is the smallest number, which, when divided by either of them leaves the remainder 0. Now adding, 1785 + 8 = 1793 is the required number.


Question 5

Two numbers are in the ratio 4 : 1. If their HCF and LCM are 15 and 60, which of these is the smaller number?

 A

15.

 B

30.

 C

60.

 D

7.

Soln.
Ans: a

Since the numbers are in an integral ratio, the LCM is equal to the larger number, and HCF is equal to the smaller number. So the smaller is 15.


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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 2017-10-26.

Posted by Parveen(Hoven),
Aptitude Trainer


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