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Question

Direction (66 - 70): The table given below shows the scorecard of India during a test match. Some values are missing. Find the answers based on information in table and respective questions. Further information is: (i) Total runs scored by Virat Kohli from those scored by 1’s and 2’s are in the ratio of 1 : 3 (ii) Number of dot balls faced by Chetswar Pujara is 12. (iii) A dot ball is defined as the ball on which no run is scored. (iv) During the entire match only 1’s, 2’s, 4’s and 6’s were taken by the batsmen. (v) Virat Kohli hits the maximum number of 6’s among all the batsmen. (vi) Beside Chetswar Pujara every player has hitted at least a six. (vii)  Every player has taken at least a 1 and a 2.

What is the total number of dot balls face by Virat Kohli?

A 42 Correct Answer Incorrect Answer
B 53 Correct Answer Incorrect Answer
C 49 Correct Answer Incorrect Answer
D 68 Correct Answer Incorrect Answer
E 38 Correct Answer Incorrect Answer

Solution

Runs scored by 4’s = 21 × 4 = 84 Total 6’s = 18, Each player except Pujara hit at least a 6. And Kohli hit the maximum 6’s. So 6’s by Kohli = 7. So runs scored by 6’s = 7 × 6 = 42 Total runs scored by 4’s and 6’s = 84 + 42 = 126 For these runs balls played are 21 + 7 = 28 …….….(i) So runs by 1’ s and 2’s = 222 – 126 = 96 1’s and 2’s runs ratio = 1 : 3 So 24 runs by 1’2 and 72 (2 × 36) by 2’s So balls for 1’s and 2’s = 24 + 36 = 60 ……………….(ii) So total balls = 28 + 60 = 88 So number of dot balls = 156 – 88 = 68

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