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A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?

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TCS Other Question

There are two boxes, one containing 10 r ed balls and the other containing 10 green
balls. You are allowed to move the balls between the boxes so that when you choose a box at
random and a ball at random from the chosen box, the probability of getting a red ball is
maximized. T his maximum probability is
a)1/2 b)14/19 c)37/38 d)3/4
61.8 years ago, Andromeda's age was twice Achilles' age. 8 years hence. Andromeda's age will be 4/3 times the age of Achilles'. Find Andromeda's present age in binary numbers.