LCM and HCF

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Question 1

Two numbers are in the ratio of 5:7. If their LCM is 105, what is the difference between their squares ?

  • 216

  • 210

  • 72

  • 840

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Question 2

The LCM of two numbers is 30, and their HCF is 15. If one of the numbers is 30, what is the other?

  • 30

  • 10

  • 15

  • 20

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Question 3

A, B and C start at the same time in the same direction to run around a circular track. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. When will they meet again at the starting point?

  • 26 minutes 18 seconds

  • 42 minutes 36 seconds

  • 45 minutes

  • 46 minutes 12 seconds

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Question 4

What is the least number which when divided by 4, 5, 6 and 7 leaves a remainder 3, but when divided by 9 leaves no remainder?

  • 1683

  • 417

  • 843

  • 423

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Question 5

Ravi got six alarm clocks which he set to alarm at intervals of 8, 12, 6, 2, 12, and 10 seconds respectively. Now Ravi wonders how many times they alarm together in 30 minutes.

  • 16

  • 10

  • 20

  • 8

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Question 6

The product of two number is 4107. If the HCF of these numbers is 37, then the greater number is:

  • 101

  • 107

  • 111

  • 185

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Question 7

The sum of two numbers is 528 and their HCF is 33. The number of pairs of numbers satisfying the above condition is:

  • 4

  • 6

  • 3

  • 5

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Question 8

Calculate the HCF of 1.08, 0.36 and 0.9.
  • 0.03
  • 0.9
  • 0.18
  • 0.108
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Question 9

Two numbers are in the ratio 3 : 5. If their L.C.M. is 75. what is sum of the numbers?

  • 40

  • 25

  • 20

  • 50

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Question 10

When a number is divided by 15, 20 or 35 it leaves a common remainder of 8. Find the smallest such number.
  • 420
  • 428
  • 210
  • 216
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There are 10 questions to complete.

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