CAT 2021 Question Paper | Quant Slot 2

CAT Previous Year Paper | CAT Quant Questions | Question 14

CAT 2021 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 14 : 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

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Explanatory Answer

Let the number of matches already played be x, then over the next ten matches if one more goal is scored, the average goals become 0.15. Further if the player scores two goals the average becomes 0.2.
From this we can see that one extra goal is increasing the average by 0.05 (0.2 - 0.15). Hence it can be said that the total number of matches played till the end is 20.
Therefore, x + 10 = 20
Hence, x = 10

The answer is '10'

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