SarkariPYQ

SSC CGL 2023 PYQ — Question 72

SSC CGL - 25 July 2023 - Shift 1 • Quantitative Aptitude • Q72

Back to paper

A field is 150 m long and 80 wide. How many times (rounded off to 1 decimal place) is its perimeter to the length of its diagonal?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 2.7.

Perimeter = 2(l + b)

Length of diagonal = l2+b2\sqrt{l^2 + b^2}

According to the given question,

Perimeter = 2(150 + 80)

⇒ 2 × 230 = 460

Now, length of diagonal = 1502+802\sqrt{150^2 + 80^2}

⇒ 22500+6400\sqrt{22500 + 6400} = 170

Required answer = 460/170 

⇒ 2.705 ≈ 2.7