HCF and LCM Quiz Set 006

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Question 1

Find the largest number that divides each of the numbers 45, 35 and 21 and leaves the same remainder?

 A

2.

 B

4.

 C

3.

 D

5.

Soln.
Ans: a

The pair-wise differences are (45 and 35) = 10, (35 and 21) = 14, (21 and 45) = 24. The required number is HCF of 10, 14 and 24 = 2.


Question 2

The HCF of two numbers is 19. The factors of their LCM are 19, 7 and 31. Which is the greater of the two numbers?

 A

589.

 B

1178.

 C

294.

 D

1767.

Soln.
Ans: a

The numbers are 19 × 7 = 133, and 19 × 31 = 589. The greater of them is 589.


Question 3

The HCF of two numbers is 13. The factors of their LCM are 13, 3 and 43. Which is the greater of the two numbers?

 A

559.

 B

1118.

 C

279.

 D

1677.

Soln.
Ans: a

The numbers are 13 × 3 = 39, and 13 × 43 = 559. The greater of them is 559.


Question 4

Three cyclists are cycling in a circular track. They, respectively, take 6, 7 and 19 minutes to complete the circle once. After how many minutes will they all again meet at a single point?

 A

798 minutes.

 B

1596 minutes.

 C

399 minutes.

 D

799 minutes.

Soln.
Ans: a

The answer lies in finding the LCM of their times. The LCM of 6, 7 and 19 = 798.


Question 5

What is the HCF of 12, 48 and 171?

 A

3.

 B

6.

 C

1.

 D

9.

Soln.
Ans: a

The required HCF = 3.


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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 2017-08-12.

Posted by Parveen(Hoven),
Aptitude Trainer


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