Latest CAT Aptitude Question SOLUTION: In a triangle ABC, points P1, Q1, R1 divide the lines AB, BC and AC respectively in the ratio 3 : 2 each. In the triangle P1 Q1 R1, the points P2, Q2 and R2 divide the sides P1Q1,

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(#M40152968) CAT Numerical Ability question quant Keep an EYE

In a triangle ABC, points P1, Q1, R1 divide the lines AB, BC and AC respectively in the ratio 3 : 2 each. In the triangle P1 Q1 R1, the points P2, Q2 and R2 divide the sides P1Q1, Q1R1 and P1R1 in the ratio 3 : 2 each. A new triangle is constructed by joining the points on the sides of triangle P2Q2R2 that divide these sides in the ratio 3 : 2. This process of forming triangles continues infinitely. Find the ratio of the area of triangle P1Q1R1 to the sum of the areas of all the formed/constructed triangles (P2Q2R2, P3Q3R3…) whose areas are smaller than the area of the triangle P1Q1R1.

Asked In CAT S B HARISH (8 years ago)

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