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Question

24 cushions are arranged in equal number of rows and columns. How many different arrangements are possible?

A
4
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B
6
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C
8
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D
12
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Solution

The correct option is C 8
Let us make all the possible arrangements for 24 cushions.

24 = 1 × 24
24 = 2 × 12
24 = 3 × 8
24 = 4 × 6
24 = 6 × 4
24 = 8 × 3
24 = 12 × 2
24 = 24 × 1

Thus, there are 8 possible arrangements in which 24 cushions can be arranged in equal number of rows and column.

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