Five players, 'a', 'b', 'c', 'd' and 'e', scored some runs during a match. 1. 'b' scored a half century, but did not score a century. 2. 'd' scored more runs than 'c', but less runs than 'b'. 3. 'a' scored 37 runs, which is less than 'c'. 4. 'e' scored 29 runs more than 'd'. 5. 'c' scored 21 runs less than 'b'. What is likely to be the score of 'e'?
Five players, 'a', 'b', 'c', 'd' and 'e', scored some runs during a match. 1. 'b' scored a half century, but did not score a century. 2. 'd' scored more runs than 'c', but less runs than 'b'. 3. 'a' scored 37 runs, which is less than 'c'. 4. 'e' scored 29 runs more than 'd'. 5. 'c' scored 21 runs less than 'b'. What is likely to be the score of 'e'? Correct Answer 70
Given:
Five players: 'a', 'b', 'c', 'd', 'e'.
(1) 'b' scored a half-century, but did not score a century.
100 > Run scored by 'b' = 50
(2) 'd' scored more runs than 'c', but less runs than 'b'.
Run scored by 'c' < Run scored by 'd' < Run scored by 'b'
(3) 'a' scored 37 runs, which is less than 'c'.
Run scored by 'c' > Run scored by 'a' = 37
(4) 'e' scored 29 runs more than 'd'.
Run scored by 'e' = Run scored by 'd' + 29
(5) 'c' scored 21 runs less than 'b'.
Run scored by 'c' = Run scored by 'b' - 21
Calculations:
From 1st and 5th statements:
Run scored by 'c' = 50 - 21
Run scored by 'c' = 29
Now,
From statement 2:
29 < Run scored by 'd' < 50
By adding 29 in above inequality:
29 + 29 < Run scored by 'd' + 29 < 29 + 50
From the statement 4, Run scored by 'd' + 29 = Run scored by 'e'
Now,
58 < Run scored by 'e' < 79
From the above inequality, we can say that Run scored by 'e' are more than 58 and less than 79.
The most appropriate runs scored by 'e' is '70' from the given options.
Hence, the correct answer is "70".
