GATE ECE 2026 | GA | Question: 2

Question

The statements (S$1$), (S$2$), and (S$3$) pertain to the scores obtained by students in an exam. The maximum possible marks in the exam is $150$.

(S$1$) The highest score is $100$.
(S$2$) The fourth highest score is $76$.
(S$3$) There are at least four students whose scores are within $25$ of each other.

Which one of the following options is necessarily correct?

• A. (S$1$) and (S$2$) together imply (S$3$)
• B. (S$1$) and (S$3$) together imply (S$2$)
• C. (S$2$) and (S$3$) together imply (S$1$)
• D. (S$1$) implies (S$3$)

Answer 1

S1 & S2 together imply S3 bcoz assuming S1 & S2 to be true, S3 is definitely True

S1 and S3 cannot necessarily imply S2 to be true