Which of the following numbers is the cube of an even number?

32768

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2197

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2058

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42875

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Solution

The correct option is A
32768

It is known that cubes of even numbers are even.

So, amongst the given numbers, 32768 and 2058 can be the cubes of an even number.

Now, 32768 = (2 × 2 × 2 × 2 × 2)³

2058= 2 × 3 × (7)³

It can be seen that 2058 is not a perfect cube.

Thus, 32768 is the cube of an even number.

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Similar questions

Which of hte following numbers are cubes of negative integers.
(i) -64 (ii) -1056 (iii) -2197 (iv) -2744 (v) -42875

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