HCF and LCM Quiz Set 008 | Maths Aptitude Quiz Questions and Mock Test on HCF and LCM Set 8 | mock tests for Bank PO, SSB/SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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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?

198 minutes.

396 minutes.

99 minutes.

199 minutes.

Soln.
Ans: a

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

Solution | Discuss! | Chapters»

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?

26.

52.

13.

78.

Soln.
Ans: a

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

Solution | Discuss! | Chapters»

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?

396.

398.

397.

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.

Solution | Discuss! | Chapters»

Question 4

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

${1/28}$.

${1/14}$.

${3/28}$.

${1/7}$.

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 = ${1/28}$.

Solution | Discuss! | Chapters»

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?

16 times.

17 times.

15 times.

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.

Solution | Discuss! | Chapters»