The statements (S1), (S2), and (S3) pertain to the scores obtained by students…
2026
The statements (S1), (S2), and (S3) pertain to the scores obtained by students in an exam. The maximum possible marks in the exam is 150.
(S1) The highest score is 100.
(S2) The fourth highest score is 76.
(S3) There are at least four students whose scores are within 25 of each other.
Which one of the following options is necessarily correct?
Answer: A. (S1) and (S2) together imply (S3) — Arrange the scores in nonincreasing order. If the highest score is 100 and the fourth highest score is 76, then the first four scores lie between 76 and 100.…
- A.
(S1) and (S2) together imply (S3)
- B.
(S1) and (S3) together imply (S2)
- C.
(S2) and (S3) together imply (S1)
- D.
(S1) implies (S3)
Attempted by 25 students.
Show answer & explanation
Correct answer: A
Arrange the scores in nonincreasing order. If the highest score is 100 and the fourth highest score is 76, then the first four scores lie between 76 and 100. Their maximum difference is 24, so those four students have scores within 25 of each other.