HCF and LCM Quiz Set 001

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Question 1

What is the HCF of 12, 48 and 171?

 A

3.

 B

6.

 C

1.

 D

9.

Soln.
Ans: a

The required HCF = 3.


Question 2

The product of LCM and HCF of two numbers is 3360? If one of the numbers is 80, what is the other?

 A

42.

 B

44.

 C

43.

 D

45.

Soln.
Ans: a

Product of two numbers is equal to the product of their LCM and HCF. So the other number is $3360/80$ = 42.


Question 3

Which is the smallest number which when divided by 15, 12 or 14 leaves 12, 9, 11 as the respective remainders?

 A

417.

 B

418.

 C

416.

 D

419.

Soln.
Ans: a

By inspection, the difference between the numbers and their respective remainders is same = 3. The LCM of 15, 12 and 14 = 420. So the required number is 420 - 3 = 417.


Question 4

Which is the least number which must be added to 23933 so that it becomes divisible by 18, 95 and 84?

 A

7.

 B

8.

 C

6.

 D

9.

Soln.
Ans: a

The LCM of 18, 95 and 84 = 23940. The lcm when divided by either of these numbers leaves the remainder 0. The minimum number to be added is 23940 - 23933 = 7.


Question 5

What is the LCM of ${6/13}$, $3{3/5}$ and ${2/9}$?

 A

18.

 B

19.

 C

20.

 D

21.

Soln.
Ans: a

The LCM of numerators 6, 18 and 2 is 18. The HCF of denominators 13, 5 and 9 is 1. So the required LCM of the given fractions is 18/1 = 18.


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This Blog Post/Article "HCF and LCM Quiz Set 001" 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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