Aptitude - Races and Games
1.
In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C :
Answer
A : B : C = 100 : 80 : 72
∴ B : C = 8072 = 109 = 10090
If B scores 100, then C scores 90.
Hence, B can give C 10 points.
Answer :
Option BExplanation :
A : B : C = 100 : 80 : 72
∴ B : C = 8072 = 109 = 10090
If B scores 100, then C scores 90.
Hence, B can give C 10 points.
2.
A can run 100m in 27 seconds and B in 30 seconds. A beats B by :
Answer
Distance covered by B in 3 seconds =
10030 x 3 
m = 10 m
∴ A beats B by 10 m.
Answer :
Option BExplanation :
Distance covered by B in 3 seconds =
10030 x 3 m = 10 m∴ A beats B by 10 m.
3.
In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by :
Answer
A : B : C = 100 : 90 : 87
∴ BC = 9087 = 90 x 287 x 2 = 180174
∴ B beats C by (180 − 174) m = 6 m.
Answer :
Option DExplanation :
A : B : C = 100 : 90 : 87
∴ BC = 9087 = 90 x 287 x 2 = 180174
∴ B beats C by (180 − 174) m = 6 m.
4.
In a 500 m race, the ratio of the speeds of A and B is 3 : 4. A has a start of 140 m. Then, A wins by
Answer
To reach the winning post A will have to cover a distance of (500 - 140)m = 360 m
While A covers 3 m, B covers 4 m
While A covers 360 m, B covers = 4 x 3603m = 480 m
∴ A wins by 20 m
Answer :
Option BExplanation :
To reach the winning post A will have to cover a distance of (500 - 140)m = 360 m
While A covers 3 m, B covers 4 m
While A covers 360 m, B covers = 4 x 3603m = 480 m
∴ A wins by 20 m
5.
In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by :
Answer
A : B = 100 : 75 and B : C = 100 : 96.
∴ A : C = AB x BC = 10075 x 10096 = 10072 = 100 : 72
So, A beats C by (100 − 72) m = 28 m.
Answer :
Option DExplanation :
A : B = 100 : 75 and B : C = 100 : 96.
∴ A : C =
AB x BC = 10075 x 10096 = 10072 = 100 : 72So, A beats C by (100 − 72) m = 28 m.
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