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 11 : Let D and E be points on sides AB and AC, respectively, of a triangle ABC, such that AD : BD = 2 : 1 and AE : CE* *= 2 : 3. If the area of the triangle ADE is 8 sq cm, then the area of the triangle ABC, in sq cm, is

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The area of the triangle ADE = 8 sqcm.

\\frac{1}{2}) × (AD) (AE) × sin(A) = 8

\\frac{1}{2}) × (2x) (2y) × sin(A) = 8

xy × sin(A) = 4

The area of the triangle ABC = \\frac{1}{2}) × (AB) (AC) × sin(A)

= \\frac{1}{2}) × (3x) (5y) × sin(A)

= \\frac{15}{2}) × (xy) × sin(A)

= \\frac{15}{2}) (4) (since xy sin A = 4)

= 30 sq cm

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