What was the maximum possible new run rate of the team ........

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 was the maximum possible new run rate of the team?

9.32

8.48

7.56

4.45

12.23

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Explanation:

First find the maximum runs scored and minimum balls faced.
Minimum number of balls faced by Dhoni = 24
Maximum runs scored by Pujara = 2*12 + 1*1 + 4*2 = 33
Maximum runs scored by team = 148+40+37+33+13+81 = 352
Minimum number of balls faced = 104+55+42+21+5+24 = 251 balls or 251/6 = 41.5 overs
So maximum run rate = 352/41.5 = 8.48

Hence, option 2 is the correct answer.