SSC CGL 2016 PYQ — Question 42

SSC CGL Tier II Quant - 30/11/2016 • Quantitative Aptitude • Q42

The ratio between the area of a square and that of a circle, when the length of a side of the square is equal to that of the diameter of the circle, is: (take π = 22/7)

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 14 : 11

Side of square = Diameter of circle

Let, side of square is x and radius of circle is r

x = 2r

⇒ x/r = 2

Area of square/Area of circle = x2/πr2 = (x/r)2 × 7/22 = 22 × 7/22 = 14/11

Required ratio = 14 : 11