Races and games
 In a game of 90 points, A can give B 15 points and C 30 points. How many points can B give C in a game of 100 points?

 140
 20
 50
 30

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A:B:C = 90:75:60
B : C = 75 / 60 = ( 75 x ^{100}⁄_{75} ) / ( 60 x ^{100}⁄_{75}) = 100 / 80Correct Option: B
A : B : C = 90 : 75 : 60
B:C = 75 / 60 = ( 75 x ^{100}⁄_{75} ) / ( 60 x ^{100}⁄_{75}) = 100 / 80
Hence, in a game of 100 points, B can give C(100  80)
= 20 points.
 The respective ratio between the speeds of a car, a train and a bus is 5 : 9 : 4. The average speed of the car, the bus and the train is 72 Km/h together. What is the average speed of the car and the train together?

 82 km/h
 78 km/h
 84 km/h
 Cannot be determined

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Total speed of car, bus and train = 72 × 3 = 216 Km
Speed of car and train = ( 5 + 9 ) x 216 / ( 5 + 9 + 4 ) = 168 KmCorrect Option: C
Total speed of car, bus and train = 72 × 3 = 216 Km
Speed of car and train = ( 5 + 9 ) x 216 / ( 5 + 9 + 4 ) = 168 Km
Average = 168 / 2 = 84 Km