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A rabbit, a tortoise and a mongoose decide to run a closed circuit race. If the rabbit overtakes the mongoose 2 times per round, with the 2nd overtake being at the starting point and the mongoose overtakes the tortoise 4 times per round the 4th overtake being at the starting point, then find the ratio of the speed of the rabbit to that of the tortoise.
a) 15 : 1 b) 8 : 1 c) 6 : 1 d) 10 : 1

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TCS Other Question
At his normal speed, Rishu can go 18 km downstream in a flowing river in 9 h less than what he takes to go the same distance upstream. The downstream journey would take 1 h less than what the upstream journey would take provided he doubles his rate of rowing. Find the speed of the river (in km/hr)?
a) 6 2/3 km b) 8 km
c) 9 1/2 km d) 12 km
 If a and b are the roots of the equation 2x^2 - 3x – 2 = 0. Find the value of (a^3+b^3 ) without finding the roots of the equation.
a) 8/3 b) 64/3 c) 63/8 d) 16