What is the total number of white balls face by V Kohli ........

Quantitative Aptitude ( CCS) Case Studies

Direction : 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.
(i) Total runs scored by V Kohli from those scored by 1’s and 2’s are in the ratio of 1 : 5
(ii) Number of white balls faced by C Pujara is 6.
(iii) A white 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) V Kohli hits the maximum number of 6’s among all the batsmen.
(vi) Beside C Pujara every player has hitted at least a six.
(vii) Every player has taken at least a 1 and a 2.

Player	Runs	Balls Faced	4’s	6’s
V Kohli	148	104	13	–
S Raina	40	55	3	–
R Ashwin	37	42	1	1
C Pujara	–	21	2	0
R Jadeja	13	5	0	1
MS Dhoni	81	–	11	3
Total	–	–	–	10

What is the total number of white balls face by V Kohli?

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Explanation:

Runs scored by 4’s = 13*4 = 52
Total 6’s = 10, Each player except Pujara hit at least a 6.

And Kohli hit the maximum 6’s. So 6’s by Kohli = 4.

So runs scored by 6’s = 4*6 = 24
Total runs scored by 4’s and 6’s = 52+24 = 76
For these runs balls played are 13+4 = 17 …….(1)
So runs by 1’2 and 2’s = 148-76 = 72
1’s and 2’s runs ratio = 1 : 5
So 12 runs by 1’2 and 60(2*30) by 2’s
So balls for 1’s and 2’s = 12+30 = 42 ……..(2)
So total balls = 17+42 = 59
So number of white balls = 104 – 59 = 45