Question Of The Day

If the first 5 between have an average of x runs, and the sixth batsman increases this average by 2, while the seventh batsman brings down the average to x, find the runs scored by the seventh batsman.  

a) x

b) x – 14

c)  x – 10

d) x – 12

Ans: d) x – 12

If the average score of each batsman after the fifth batsman has played is x, then the total runs after 5 batsman is 5x, after 6 is 6(x + 2) = 6x + 12, after 7 is 7x. so the 7^th batsman scores [7x – (6x + 12)] = x – 12 runs.