Question 42

Seven friends A, B, C, D, E, F and G have a different number of bikes. D has more bikes than F, but less bikes than G. F has less bikes than A, and A does not have the highest number of bikes. Four persons have more bikes than C. E has the least and D has the third highest number of bikes. B has less bikes than G. Who has the highest number of bikes?

Solution

Four persons have more bikes than C.

>>>>C>>

E has the least and D has the third highest number of bikes.

>>D>>C>>E    Eq.(i)

D has more bikes than F, but less bikes than G.

G>D>F    Eq.(ii)

F has less bikes than A, and A does not have the highest number of bikes.

>A>F    Eq.(iii)

B has less bikes than G.

G>B    Eq.(iv)

From Eq.(i), Eq.(ii), Eq.(iii) and Eq.(iv), we can say that D, C, E, A, F and B are not having the highest number of bikes. So only G is remaining.

Hence G has the highest number of bikes.


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