SSC CPO 2019 PYQ — Question 115

SSC CPO Tier I - 11th December 2019 - Shift 2 • Quantitative Aptitude • Q115

The sides of a triangular park are 35 m 53 m and 66 m. The cost of levelling the park at the rate of `9.25/m2 is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. `8547

Understanding Application
Tricks

The perimeter of the triangle(s) = (35 + 53 + 66)/2

= 154/2

= 77 

Now

Area of the triangle = √s (s - a) (s - b) (s - c)

= √77 (77 - 35) (77 - 53) (77 - 66)

= √77 (42) (24) (11)

= √11× 7 (2 × 3 × 7) (2 × 2 × 2 × 3) (11)

= 11 × 7 × 2 × 2 × 3

= 924

Hence

Total cost

924 × 9.25

= 8547