SSC CPO 2025 PYQ — Question 126

SSC CPO - 9 Dec 2025 - Shift 2 • Quantitative Aptitude • Q126

A square board 20 cm side has a corner triangle removed (right triangle, legs 5 cm each). What percent of the board remains?

Show answer & explanation

Correct answer: C

Explanation

Given:

Side of the square = 20 cm

Sides of the triangle (right-angled) = 5 cm, 5 cm

According to the formulas:

Area of ​​the square = a²

Area of ​​the triangle = (1/2) × a × b

Percentage = (Remaining / Original) × 100

Area of ​​the square = 20² = 400

Area of ​​the triangle = (1/2) × 5 × 5 = 12.5

Remaining area = 400 − 12.5 = 387.5

Percentage =387.5400×100=96.875%≈96.88%= \frac{387.5}{400} \times 100 = 96.875\% \approx 96.88\%