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Question

# You have to pack some fruit baskets from a bunch of 6 apples and 4 oranges, such that apples and oranges are distributed equally. Each basket should contain equal number of apples and equal number of oranges. What should be the minimum number of apples and oranges in each basket?

A
Apples: 3, Oranges: 2
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B
Apples: 2, Oranges: 3
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C
Apples: 4, Oranges: 1
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D
Apples: 1, Oranges: 4
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Solution

## The correct option is A Apples: 3, Oranges: 26 apples and 4 oranges need to be distributed equally so that each bucket has the same number of apples and same number of oranges. For minimum number of apples and oranges in each basket, we need to find maximum number of baskets. Therefore, the number of baskets will be H.C.F of 6 and 4, which is equal to 2 If two fruit buckets are made with 3 apples and 2 oranges, each of the above conditions is satisfied. 6 apples = 2 × 3 apples 4 oranges = 2 × 2 oranges Adding both the quantitiy, 6 apples + 4 oranges= 2 × 3 apples + 2 × 2 oranges ⇒Total number of fruit = 2 × (3 apples + 2 oranges) ∴ If two buckets are required, each bucket will have 3 apples and 2 oranges.

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