CAT 2021 Question Paper | CAT Verbal Ability Slot 2
Question :

In a football tournament, a player has played a certain number of matches and 10 more matches are to be played. If he scores a total of one goal over the next 10 matches, his overall average will be 0.15 goals per match. On the other hand, if he scores a total of two goals over the next 10 matches, his overall average will be 0.2 goals per match. The number of matches he has played is

Started 1 month ago by Shashank in

Answer : 10

Explanatory Answer

Let no. of matches = M 
Average goals = A 
Total goals = MA 
à (MA+1)/(M+10) = 0.15 
à (MA+2)/(M+10) = 0.2 
(MA+1) = 0.15(M+10) ………(i)

(MA+2) = 0.2(M+10)   ………(ii) 
Eq (ii)- (i) 
1 = 0.05(M+10) 
M = 10

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