HCF and LCM Quiz Set 008

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Question 1

Three cyclists are cycling in a circular track. They, respectively, take 3, 11 and 18 minutes to complete the circle once. After how many minutes will they all again meet at a single point?

 A

198 minutes.

 B

396 minutes.

 C

99 minutes.

 D

199 minutes.

Soln.
Ans: a

The answer lies in finding the LCM of their times. The LCM of 3, 11 and 18 = 198.


Question 2

The HCF of two numbers is 2. The factors of their LCM are 2, 7 and 13. Which is the greater of the two numbers?

 A

26.

 B

52.

 C

13.

 D

78.

Soln.
Ans: a

The numbers are 2 × 7 = 14, and 2 × 13 = 26. The greater of them is 26.


Question 3

The sum of LCM and HCF of two numbers is 200. If LCM is 99 times the HCF, then the product of the two numbers is?

 A

396.

 B

398.

 C

397.

 D

399.

Soln.
Ans: a

Let L be the LCM, and H the HCF. Then H + L = 200, and L = 99H. Solving these for H, we get H = $200/{99 + 1}$ = 2, and L = 198. The product of the two numbers is equal to the product of the lcm and hcf = 2 × 198 = 396.


Question 4

What is the HCF of $1{1/14}$, ${5/7}$ and ${3/4}$?

 A

${1/28}$.

 B

${1/14}$.

 C

${3/28}$.

 D

${1/7}$.

Soln.
Ans: a

The HCF of numerators 15, 5 and 3 is 1. The LCM of denominators 14, 7 and 4 is 28. So the required HCF of the given fractions is 1/28 = ${1/28}$.


Question 5

Three lights are flashing at regular intervals. They, respectively, flash after 12, 24 and 36 seconds. How many times do they together flash in 1080 seconds?

 A

16 times.

 B

17 times.

 C

15 times.

 D

18 times.

Soln.
Ans: a

They will together flash after the LCM of their times. The LCM of 12, 24 and 36 = 72. So they will flash 1 + $1080/72$ = 16 times.


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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 2017-10-26.

Posted by Parveen(Hoven),
Aptitude Trainer


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