Three statements have been given, which are followed by two conclusions I and…
2023
Three statements have been given, which are followed by two conclusions I and II. Assuming that the given statements are true, find out which of the following conclusions is/are definitely true.
Statements : P ≥ Q, T = S ≤ R, R < Q Conclusions : I. P ≥ S II. T < Q
- A.
Both conclusions I and II are true
- B.
Neither conclusion I nor II is true
- C.
Only conclusion I is true
- D.
Only conclusion II is true
Attempted by 126 students.
Show answer & explanation
Correct answer: A
Answer: Both conclusions I and II are true.
From R < Q and S ≤ R we deduce S < Q (because S is at most R, and R is strictly less than Q).
Given P ≥ Q and S < Q, we have P ≥ Q > S, so P ≥ S. Therefore conclusion I (P ≥ S) is true.
Given T = S and S < Q, we get T < Q. Therefore conclusion II (T < Q) is true.
Final conclusion: Both conclusions follow logically from the statements, so the correct choice is the one that states both conclusions are true.