HCF and LCM Quiz Set 008

Advertisement


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

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 2

What is the HCF of 42, 114 and 117?

 A

3.

 B

6.

 C

1.

 D

9.

Soln.
Ans: a

The required HCF = 3.


Question 3

What is the HCF of (12 × 17), (17 × 4) and (4 × 12)?

 A

4.

 B

8.

 C

2.

 D

12.

Soln.
Ans: a

The required HCF is product of the three numbers divided by their LCM. The LCM of 12, 17 and 4 is 204. So the required HCF = ${12 × 17 × 4}/204$ = 4. Please note that LCM(n1, n2, n3) × HCF(n1 × n2, n2 × n3, n3 × n1) = n1 × n2 × n3.


Question 4

The LCM and HCF of two numbers 6 and 84 are in the ratio?

 A

14.

 B

${85/6}$.

 C

${43/3}$.

 D

${29/2}$.

Soln.
Ans: a

The LCM of 6 and 84 is 84, and their HCF is 6. The ratio is: 14.


Question 5

Three cyclists are cycling in a circular track. They, respectively, take 5, 13 and 22 minutes to complete the circle once. After how many minutes will they all again meet at a single point?

 A

1430 minutes.

 B

2860 minutes.

 C

715 minutes.

 D

1431 minutes.

Soln.
Ans: a

The answer lies in finding the LCM of their times. The LCM of 5, 13 and 22 = 1430.


buy aptitude video tutorials


Creative Commons License
This Blog Post/Article "HCF and LCM Quiz Set 008" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


Advertisement