Question

If a cube of a number is subtracted from $(153)^2$, the number so obtained is 1457, Find the number.

• A. 28
• B. 18
• C. 24
• D. 16

Answer 1

Answer:

A. 28

$(153) ^ 2 - x ^ 3 = 1457$

$23409 - x ^ 3 = 1457$

$x ^ 3 = 23409 - 1457 = 21952$

⇒$ x = ∛{21952}$

x = ∛[2 x 2 x 2 x 2 x 2 x 2 x 7 x 7]

x = 2 x 2 x 7 = 28