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Question

Ben goes to the park once in every 5 days while Bob goes once in 9 days. If they met each other on day 1, when will they meet again?

A
Day 46
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B
Day 45
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C
Day 43
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D
Day 41
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Solution

The correct option is B Day 45
It is given that Ben goes to the park once in 5 days while Bob goes to the park once in 9 days.
Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60….. Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
LCM of 5 and 9 = 45
Hence, Ben and Bob meet again on day 45.

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