Races and Games - Arithmetic Aptitude Questions and Answers

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In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:

18 m

20 m

27 m

9 m

Answer : Option B

Explanation :

A : B = 100 : 90.

A : C = 100 : 72.

B : C = $\frac { B } {A }$ X $\frac { A } {C }$ = $\frac { 90 } {100 }$ X $\frac { 100 } {72 }$ = $\frac { 90 } {72 }$

When B runs 90 m, C runs 72 m.

When B runs 90 m, C runs 72 m[ $\frac { 72 } {90 }$ x 100] m = 80 m

B can give C 20 m.

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