HCF and LCM Quiz Set 005

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Question 1

Find the least possible number that can be divided by 33, 96 as well as 27?

 A

9504.

 B

19008.

 C

4752.

 D

28512.

Soln.
Ans: a

The required number is LCM = 9504.


Question 2

What is the HCF of (19 × 7), (7 × 6) and (6 × 19)?

 A

1.

 B

2.

 C

0.

 D

3.

Soln.
Ans: a

The required HCF is product of the three numbers divided by their LCM. The LCM of 19, 7 and 6 is 798. So the required HCF = ${19 × 7 × 6}/798$ = 1. Please note that LCM(n1, n2, n3) × HCF(n1 × n2, n2 × n3, n3 × n1) = n1 × n2 × n3.


Question 3

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 4

The LCM and HCF of two numbers 68 and 98 are in the ratio?

 A

1666.

 B

${3333/2}$.

 C

1667.

 D

${3335/2}$.

Soln.
Ans: a

The LCM of 68 and 98 is 3332, and their HCF is 2. The ratio is: 1666.


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 005" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


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