HCF and LCM Quiz Set 019

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Question 1

The LCM and HCF of two numbers 99 and 15 are in the ratio?

 A

165.

 B

${496/3}$.

 C

${497/3}$.

 D

166.

Soln.
Ans: a

The LCM of 99 and 15 is 495, and their HCF is 3. The ratio is: 165.


Question 2

Which is the smallest number which when divided by 11, 11 or 16 leaves 6, 6, 11 as the respective remainders?

 A

171.

 B

172.

 C

170.

 D

173.

Soln.
Ans: a

By inspection, the difference between the numbers and their respective remainders is same = 5. The LCM of 11, 11 and 16 = 176. So the required number is 176 - 5 = 171.


Question 3

Which is the largest number that divides 36 by leaving a remainder 3, and also divides 96 by leaving a remainder 8?

 A

11.

 B

12.

 C

10.

 D

13.

Soln.
Ans: a

The required number is the HCF of 36 - 3 = 33 and 96 - 8 = 88. HCF of 33 and 88 is 11.


Question 4

Find the largest number that divides each of the numbers 51, 85 and 21 and leaves the same remainder?

 A

2.

 B

4.

 C

3.

 D

5.

Soln.
Ans: a

The pair-wise differences are (51 and 85) = 34, (85 and 21) = 64, (21 and 51) = 30. The required number is HCF of 34, 64 and 30 = 2.


Question 5

Which is the least number which must be added to 2098 so that it becomes divisible by 15, 50 and 84?

 A

2.

 B

3.

 C

1.

 D

4.

Soln.
Ans: a

The LCM of 15, 50 and 84 = 2100. The lcm when divided by either of these numbers leaves the remainder 0. The minimum number to be added is 2100 - 2098 = 2.


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This Blog Post/Article "HCF and LCM Quiz Set 019" 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


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