Question

which of the following number should be added to the cubes of two consecutive even and odd prime numbers to get a two digit cube number ? A)11 B)19 C)21 D)29​

Answer 1

Answer:

29 must be added to the cubes of two consecutive even and odd prime numbers to get a two digit cube number.

Step-by-step explanation:

Let the required number be x.

We know, two digit cube numbers are 27 and 64.

Moreover, the even and odd consecutive prime numbers are 2 and 3, since 2 is the only even prime number.

Thus, we have,

$2^{3} = 8$ and $3^{3} = 27$

Thus we have, x + 8 + 27 = 64 ( since we need a two digit cube number and     x + 8 + 27 will be greater than 27 )

Thus, x + 35 = 64,

⇒ x = 64 - 35

⇒ x = 29.

Thus, option D (29) is the correct answer.

Answer 2

the above answer is right