Which of the following is a perfect square as well as a cube? 343, 125, 81, or 6

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Question

Which of the following is a perfect square as well as a cube? 343, 125, 81, or 64

Options:

A . 64

B . 81

C . 343

D . 125

Answer: Option A
Answer: (a)343 = 7 × 7 × 7125 = 5 × 5 × 581 = 3 × 3 × 3 × 364 = 8 × 8 = 4 × 4 × 4We see that 343 and 125 are only perfect cubes of 7 and 5 respectively.81 is only a perfect square of 9. 64 is a perfect square of 8 as well as a perfect cube of 4.

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