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Question

In an orchard, there are two parallel rows of fruit trees, one beside the other. In the first row, every fourth tree is a blackberry tree, and in the second row, every sixth tree is a blueberry tree. The first occurrence of the blackberry tree, where there is a blueberry tree just opposite to it, is .

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Solution

Position of blackberry trees are multiples of 4, i.e., 4,8,12,16,20,24...

Position of blueberry trees are multiples of 6, i.e., 6,12,18,24,30,36...

The first occurrence where both the trees' positions are same is 12th.

Alternatively, the least common multiple of 4 and 6 is 12.

The first occurrence of the blackberry tree where there is a blueberry tree just opposite to it is 12th.

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