CAT 2021 Question Paper | Quant Slot 1

CAT Previous Year Paper | CAT Quant Questions | Question 14

CAT 2021 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 14 : A circle of diameter 8 inches is inscribed in a triangle ABC where ∠ABC = 90°. If BC = 10 inches then the area of the triangle in square inches is


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Explanatory Answer


Circle and a triangle
From, Pythagoras theorem
(x + 4)2 + (10)2 = (x + 6)2
We will get x = 20.
The area of the triangle = \\frac{1}{2}) x b x h
= \\frac{1}{2}) x 10 x 24
= 120 sq inches


The question is " A circle of diameter 8 inches is inscribed in a triangle ABC where ∠ABC = 90°. If BC = 10 inches then the area of the triangle in square inches is "

Hence, the answer is '120'

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