CAT Exam

A bag contains 'a' white and 'b' black balls. Two players A and B alternately draw a ball from the bag, replacing the ball each time after the draw. A begins the game. If the probability of A winning (That is drawing a white ball) is twice the probability of B winning, then the ratio a:b is equal to
a. 1 : 2
b. 2 : 1
c. 1 : 1
d. None of these

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CAT Other Question

Please solve the following question:
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Two tourists start cycling towards each other from two points A and B. The first tourist leaves point A 6 hours later than the second tourist leaves B.They meet after a certain time and the first tourist has covered 12 Km less than the second tourist at the time of their meeting.After their meeting they keep cycling and the first tourist arrives at B 8 hours later and the second tourist arrives at A 9 hours later. Find the speed of the faster tourist.
a) 4 kmph
b) 6 kmph
c) 9 kmph
d) 2 kmph
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Please solve the above question in the shortest way possible such that the solving it takes the least time possible.
Thanks a cylinder of radius and height both equal to 10cm made by paper is unfolded to form a plane sheet of paper .if circumference of a circle is 2(pi)R then find area of plane paper sheet