100+ Races and Games Aptitude Problems with Solutions - 1

Ans: A

B covers 35 m in 7 seconds.

B covers 200 m in $$({7}/{35} × 200)$$sec = 40 sec.

Time taken by A = (40 – 7)sec = 33 sec.

Ans: A

A beats B by (200 – 190) sec = 10 sec.

Distance covered by B in 10 sec. = $$({1000}/{200}× 10)$$m = 50 m.

∴ A beats B by 50 m.

Ans: C

Clearly, A beats B by 9 seconds.

Distance covered by B in 9 seconds = $$({100}/{45} × 9)$$m = 20 m.

∴ A beats B by 20 m.

Ans: D

A : B = 200 : 169 and A : C = 200 : 182

⇔ $${C}/{B}$$ = $$({C}/{A} × {A}/{B})$$ = $$(182/200 × 200/190)$$ = $${182}/{169}$$.

When C covers 182 m, B covers = 169 m.

When C covers 350 m, B covers = $$({169}/{182} × 350)$$m = 325 m.

∴ C beats B by 25 m.

Ans: A

A : B = 60 : 45 and A : C = 60 : 40

∴ $${B}/{C}$$ = $$({B}/{A} × {A}/{C})$$ = $$({45}/{60} × {60}/{45})$$ = $${45}/{40} × {2}/{2}$$ = $${90}/{80}$$ = 90 : 80.

∴ B can give 10 points in a game of 90.