cat Interview Numerical Ability Area and Volume

Two athletes A and B participate in a race along with other athletes. If the chance of A wining the race is 1/6 and that of B wining the same race is 1/8, then the chance that neither wins the race is

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six dozzen dozzen dozzen banana and half
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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.