SSC Selection Post 2020 PYQ — Question 63

SSC Selection Post - Matriculation Level 2020 - 14 Nov 2020 - Shift 1 • Quantitative Aptitude • Q63

The sides of a triangular field are 56 m, 90 m, and 106 m. The cost of levelling the field at ₹6.80 per m2 is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. ₹17,136.

Semi-perimeter (s) = 56+90+106256 + 90 + 106\over2 = 126

Area = s(s−a)(s−b)(s−c)\sqrt{s(s-a)(s-b)(s-c)}

⇒ 126(126−56)(126−90)(126−106)\sqrt{126(126-56)(126-90)(126-106)}

⇒ 126×70×36×20\sqrt{126\times70\times36\times20} = 2520 m2

Cost = Area × Rate

⇒ 2520 × 6.80 = ₹17,136