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A fruit vendor restocks apples every 4 days and bananas every 6 days. If he restocksboth fruits today, after how many days will he restock both apples
Question

A fruit vendor restocks apples every 4 days and bananas every 6 days. If he restocksboth fruits today, after how many days will he restock both apples and bananas on thesame day again?

A.

8 days

B.

12 days

C.

10 days

D.

16 days

Correct option is B

Given:

The fruit vendor restocks apples every 4 days.

The fruit vendor restocks bananas every 6 days.

Solution:

Prime factorization:

4 = 22

6 = 2 × 3

LCM = 2× 3 = 4 × 3 = 12

So, the vendor will restock both apples and bananas on the same day again after 12 days.

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