Games and Tournament - Logical Reasoning (MCQ) Questions for Q. 28724

Q.  Directions: A team of 5 players Ashwin, Rahul, Sachin, Virat and Rohit participated in a tournament and played four matches.

The following table gives partial information about their individual scores and the total runs scored by the team in each match.

Each column has two values missing. These are the runs scored by the two lowest scorers in that match.

None of the two missing values is more than 10% of the total runs scored in that match.

If the absolute difference between the total runs scored by Ashwin and Sachin in the four matches is minimum possible.

What is the absolute difference between total runs scored by Rahul and Rohit in the four matches?
Runs scoredMatch 1Match 2Match 3Match 4
Ashwin10053
Rahul886552
Sachin110
Virat72752056
Rohit6078
Total270300240200

- Published on 13 Apr 17

a. 27
b. 32
c. 37
d. 42

ANSWER: 37
 
Maximum possible total runs scored by Sachin in the four matches = 27 + 30 + 110 + 20 = 187.

You can see that we have again taken 10% values in each match.

Completing the table:

Runs scoredMatch 1Match 2Match 3 Match 4
Ashwin231001353
Rahul88651952
Sachin273011020
Virat72752056
Rohit60307819
Total270300240200
In such a case, minimum possible total runs scored by Ashwin in the four matches = 23 + 100 + 13 + 53 = 189.

Difference = 189 – 187 = 2 (minimum possible)

To minimize the difference, we have taken minimum possible score of Ashwin. Hence, his score in Match-3 is taken as 13.

Subsequently, total runs scored by Rahul in the four matches = 88 + 65 + 19 + 52 = 224.
Also, total runs scored by Rohit in the four matches = 60 + 30 + 78 + 19 = 187

Absolute difference = 224 – 187 = 37

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