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Three bells toll together at intervals of 9, 12, 15 minutes. If they start tolling together, after what time will they next toll together?

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Question

Three bells toll together at intervals of 9, 12, 15 minutes. If they start tolling together, after what time will they next toll together?

Options

  • 1 hour

  • \[1\frac{1}{2}\] hours
  • \[2\frac{1}{2}\] hours
  • 3 hours

MCQ
Sum
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Solution

3 hours
The L.C.M. of 9, 12, and 15 will give us the minutes after which the bells will next toll together.

L.C.M. = 22 × 32 × 5
= 180
So, the bells will toll together after 180 min.
On converting into hours:
180/60 = 3 hours

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Chapter 2: Factors and Multiples - Exercise 2F [Page 42]

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R.S. Aggarwal Mathematics [English] Class 6
Chapter 2 Factors and Multiples
Exercise 2F | Q 25 | Page 42
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