Select the number that will come in place of the question…

Select the number that will come in place of the question mark (?) in the following mathematical statement.

(9² × 27 + 3³ × 7 + ?) $^\frac{1}{2}$ = 59

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 1105

Let the missing number be x-

(9² × 27 + 3³ × 7 + x) $^\frac{1}{2}$ = 59

(9² × 27 + 3³ × 7 + x) = 59²

2187 + 189 + x = 3481

2376 + x = 3481

x = 3481 - 2376

x = 1105

SSC MTS 2022 PYQ — Question 54