SSC CGL 2025 PYQ — Question 75

SSC CGL - 21 Sep 2025 - Shift 3 • Quantitative Aptitude • Q75

What will come in place of ? to satisfy the equation: (6−1)2=?−26(\sqrt{6}-1)^2 = ? - 2\sqrt{6}

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 7.

(6−1)2=?−26(\sqrt{6}-1)^2 = ? - 2\sqrt{6}

(√6 - 1)2 = ? - 262\sqrt{6}

⇒ (√6)2 + 12 - 2 × √6 × 1 = ? - 262\sqrt{6}

⇒ 6 + 1 - 2√6 = ? - 262\sqrt{6}

⇒ 7 - 2√6 = ? - 262\sqrt{6}

So, ? = 7