SSC MTS 2026 PYQ — Question 11

SSC MTS - 12 Feb 2026 - Shift 3 • Quantitative Aptitude • Q11

1/(9 + √6) + 1/(9 − √6) = ?

Show answer & explanation

Correct answer: C

Explanation

Given:

1/(9 + √6) + 1/(9 − √6)

Using the formula:

1/(a + b) + 1/(a − b) = 2a/(a² − b²)

= (2 × 9) / (9² − (√6)²)

= 18 / (81 − 6)

= 18 / 75

= 6 / 25