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Races and Games - General Aptitude

Q1:

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:

A 5.4 m

B 4.5 m

C 5 m

D 6 m

ANS:D - 6 m

A : B = 100 : 90. A : C = 100 : 87.

B = B x A = 90 x 100 = 30 .
C A C 100 87 29
When B runs 30 m, C runs 29 m.
When B runs 180 m, C runs 29 x 180 m = 174 m.
30
B beats C by (180 - 174) m = 6 m.