A number xy is multiplied by another number ab and the result comes as pqr, where r = 2y, q = 2(x + y) and p = 2x where x, y < 5, q π 0. The value of ab may be: a) 11. b) 13. c) 31. d) 22
A road passes through the towns Sangamner and Yeotmal. A cyclist started from Sangamner in the direction of Yeotmal. At the same time, two pedestrians started from Yeotmal travelling at the same speed, the first of them towards Sangamner and the other in the opposite direction. The cyclist covered the distance between the towns in half an hour and, continued ahead in the same direction. He overtook the second pedestrian, 1.2 hours after he met the first pedestrian. Determine the time the cyclist spent travelling from Sangamner to the point of the meeting with the first pedestrian (assuming the speeds of the cyclist and the pedestrians to be constant). (a) 24 min (b) 18 min (c) 30 min (d) Cannot be determined
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