HCF and LCM Quiz Set 002

Advertisement


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

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 2

Which is the smallest number which when divided by 15, 17 or 14 leaves 10, 12, 9 as the respective remainders?

 A

3565.

 B

3566.

 C

3564.

 D

3567.

Soln.
Ans: a

By inspection, the difference between the numbers and their respective remainders is same = 5. The LCM of 15, 17 and 14 = 3570. So the required number is 3570 - 5 = 3565.


Question 3

The sum of LCM and HCF of two numbers is 42. If LCM is 20 times the HCF, then the product of the two numbers is?

 A

80.

 B

82.

 C

81.

 D

83.

Soln.
Ans: a

Let L be the LCM, and H the HCF. Then H + L = 42, and L = 20H. Solving these for H, we get H = $42/{20 + 1}$ = 2, and L = 40. The product of the two numbers is equal to the product of the lcm and hcf = 2 × 40 = 80.


Question 4

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 5

Two numbers are in the ratio 4 : 1. If their HCF and LCM are 4 and 16, which of these is the smaller number?

 A

4.

 B

8.

 C

16.

 D

2.

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 4.


buy aptitude video tutorials


Creative Commons License
This Blog Post/Article "HCF and LCM Quiz Set 002" 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