Question

Which of the following is the cube of even natural number?

• A. $729$
• B. $3375$
• C. $1331$
• D. $13824$

Answer 1

Answer: (D)

$13824$

Here,

$729=9^3=3\times 3\times 3\times 3\times 3\times 3$, which is not a cube of an even natural number.

$3375={15}^3=3\times 3\times 3\times 5\times 5\times 5$, which is not a cube of an even natural number.

$1331={11}^3=11\times 11\times 11$, which is not a cube of an even natural number.

$13824={24}^3=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 3\times 3\times 3$, which is a cube of an even natural number.

$\therefore 13824$ is the cube of even natural number.

Hence, option $D$ is correct.