Tim has science class every 6 days and geography class every 12 days. On which of these days from today will he have both the classes?

18^th day

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12^th day

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9^th day

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20^th day

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Solution

The correct option is B 12^th day
The factors of 12 are: 1, 2, 3, 4, 6, and 12
The factors of 6 are: 1, 2, 3, and 6

We can see that 6 is a factor of 12.
Thus, the LCM of 6 and 12 would be 12.

Alternatively, we can find the LCM of 6, 12 using the ladder method.
LCM (6, 12) = 2 × 2 × 3 = 12

Hence, Tim will have both science and geography classes on the 12^th day.

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