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1) 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:A) 29m B) 26m C) 24m D) 28m
Answer & Explanation
Answer: 28m (A : B = 100 : 75
B : C = 100 : 96.
A : C = A/B x B/C = 100/75 x 100/96 = 100/72 = 100 : 72.
A beats C by (100 - 72) m = 28 m.)
2) In a 300 m race A beats B by 25 m or 6 seconds. B's time over the course is:A) 70 sec B) 72 sec C) 74 sec D) 73 sec
Answer & Explanation
Answer: 72 sec (B runs 25 m in 6 sec.
B covers 300 m in 6*(1/25)* 300 sec = 72 sec.)
3) In 100 m race, A covers the distance in 45 seconds and B in 54 seconds. In this race A beats B by:A) 16.67 m B) 16 m C) 15 m D) 20 m
Answer & Explanation
Answer: 16.67 m (Distance covered by B in 9 sec. = 100 x 9/54 m = 16.67 m.
A beats B by 16.67 metres)
4) In a game of 100 points, A can give B 20 points and C 30 points. Then, B can give C:A) 10 points B) 15 points C) 12.5 points D) 12 points
Answer & Explanation
Answer: 12.5 points (A : B = 100 : 80.
A : C = 100 : 30
B/C = B/A x A/C = 80/100 x 100/70 = 8/7 = 100/87.5 = 100 : 87.5
B can give C 12.5 points.)
5) In a race of 300 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:A) 25 m B) 30 m C) 28 m D) 26 m
Answer & Explanation
Answer: 25 m (A : B = 300 : 169.
A : C = 300 : 182.
C/B = C/A x A/B = 182/300 x 300/169 = 182 : 169.
When C covers 182 m, B covers 169 m.
When C covers 350 m, B covers 169 x 350/182 m = 325 m.
Therefore, C beats B by (350 - 325) m = 25 m.)
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