Explanation:

Let's analyze the statements to find the score of 'e':

- Statement 1: 'b' scored a half-century but not a century. So, 50 = b < 100.

- Statement 2: 'd' scored more than 'c' but less than 'b'. Therefore, c < d < b.

- Statement 3: 'a' scored 37 runs, which is less than 'c'. So, c > 37.

- Statement 4: 'e' scored 29 runs more than 'd'. Therefore, e = d + 29.

- Statement 5: 'c' scored 21 runs less than 'b'. Hence, c = b - 21.

Let's deduce the scores:

- From Statement 5, since c = b - 21 and c > 37, b should be at least 59 (since 59 - 21 = 38, which is greater than 37).

- But, b can't be 100 or more, and must be satisfied with 59 = b < 100.

- Since c = b - 21, c will be between 38 and 79 (using b between 59 and 100).

- From Statement 2 and 3, with c > 37, we have c could range up to 79, so if c is 38, then d must be between 39 and 79.

- Finally, from Statement 4, where e = d + 29, e could be from 68 to 108.

By arranging ranges with our options:

- If d is 41, then e = 70, which matches Option 3.

Considering all above deductions, the score of 'e' is likely:

- Option 3: 70

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