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  • On Ashok Marg three consecutive traffic lights change after 36, 42 and 72 seconds respectively. If the lights are first switched on at 9:00 A.M. sharp, at what time will they change simultaneously?

On Ashok Marg three consecutive traffic lights change after 36, 42 and 72 seconds respectively. If the lights are first switched on at 9:00 A.M. sharp, at what time will they change simultaneously?

Option: 1

9:08:04


Option: 2

09 : 08: 24


Option: 3

9 : 08 : 44


Option: 4

None of these


Answers (1)

best_answer

34. LCM of 36, 42 and 72,

$\begin{aligned} & 36=2 * 2 * 3 * 3 \\ & 42=2 * 3 * 7 \\ & 72=2 * 2 * 2 * 3 * 3 \\ & \text { LCM }=2 * 2 * 2 * 3 * 3 * 7=504 \text { seconds. }\end{aligned}$

Hence, the lights will change simultaneously after 8 minutes and 24 seconds.

Posted by

Kuldeep Maurya

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