SSC CGL 2025 PYQ — Question 62

SSC CGL - 18 Sep 2025 - Shift 3 • Quantitative Aptitude • Q62

If the side of a regular hexagon is doubled, what happens to its area?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. Quadrupled.

The area of a regular hexagon with side 'a' (A)=332a2(A) = \frac{3\sqrt{3}}{2} a^2

If the side is doubled, the new side = 2a

New area =332(2a)2=332×4a2=4×332a2=4A= \frac{3\sqrt{3}}{2} (2a)^2 = \frac{3\sqrt{3}}{2} \times 4a^2 = 4\times \frac{3\sqrt{3}}{2} a^2=4A

So the new area is 4 times the original area.