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Q.

Find the smallest number by which 1372 must be multiplied to obtain a perfect cube.

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a

2

b

7

c

1

d

14

answer is A.

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Detailed Solution

1372 = 2 x 2 x 7 x 7 x 7

Here, In 1372, 2 is present only two times.

If we multiply 2 by 1372 we obtain a perfect cube.

1372 x 2 = 2 x 2 x 2 x 7 x 7 x 7

1372 x 2 = (2 x 7)3

1372 x 2 = 14³

Thus, option A is the correct answer.

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