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Question 1
Three boys A, B and C decide to run around a circular track. They start at the same time and run in the same direction. A runs the fastest and when A finishes a lap, it is seen that C is thrice as much behind B as B is behind A. When A completes 2 laps, C is the exact same position on the circular track as B was when A finished 1 lap. Find the ratio of the speeds of A, B and C?
Question 2
ABCDEF is a regular hexagon. P is a point on CF such that measure of angle APF = 30°. Find the ratio of the area of ABCP to the hexagon ABCDEF.
Question 3
The average age of P and Q is 35 years. If R replaces P, the average age is 31 years, if R replaces Q average age is 36 years. If the average age of S and T is half of average age of P, Q and R, find the average age of all the five people.
Question 4
Kundan purchased 450 oranges of 3 types such that he earned a profit 9%, 10% and 12% respectively on each type. He earned a profit of 
% on the first two types and 10% overall profit on all the types. Find the number of oranges in all the three types.
% on the first two types and 10% overall profit on all the types. Find the number of oranges in all the three types.Question 5
A rectangular floor is fully covered with square marbles of identical size. The marbles on the edges are blue and the marbles in the interior are red. The number of blue marble is the same as the number of red marbles. A possible value of the number of marbles along one edge of the floor is
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Aug 13CDS & Defence
