SSC MTS 2026 PYQ — Question 14

SSC MTS - 6 Feb 2026 - Shift 2 • Quantitative Aptitude • Q14

(4 + √2)² + (4 − √2)² − 20 = ?

Show answer & explanation

Correct answer: C

Explanation

Given:

(4 + √2)² + (4 − √2)² − 20

Using the formula:

(a + b)² + (a − b)² = 2(a² + b²)

= 2(4² + (√2)²) − 20

= 2(16 + 2) − 20

= 2 × 18 − 20

= 36 − 20

= 16