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Question

Alex goes to market every 8th day. Shalini goes to the market every 9th day. On what possible day can they meet at the market?​

A
121
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B
144
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C
137
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D
202
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Solution

The correct option is B 144
Every 8 days, Alex goes to market, and every 9 days, Shalini goes to market.
Let's find the common multiple of these days so that we can find out on which day they can meet in the market.
<Fill in the multiples of 8 and 9 in the venn diagram>


The common multiples of 8 and 9 are 72, 144, and so on.
Thus, they can meet on the 144th day.

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