Solve 14 × 627 ÷ $$\sqrt {\left( {1089} \right)} $$   = (?)³ + 141

A. 5√5

B. (125)²

C. 25

D. 5

E. None of these

Answer: Option D

Solution(By Examveda Team)

Let the missing number is a
Given,
$$\eqalign{ & 14 \times 627 \div \sqrt {\left( {1089} \right)} = {\left( a \right)^3} + 141 \cr & \frac{{14 \times 627}}{{\sqrt {1089} }} = {\left( a \right)^3} + 141 \cr & \frac{{14 \times 627}}{{33}} = {a^3} + 141 \cr & 266 = {a^3} + 141 \cr & {a^3} = 125 \cr & a = \root 3 \of {125} \cr & a = 5 \cr} $$