Three statements showing relationships have been given, which are followed by…
2023
Three statements showing relationships have been given, which are followed by two conclusions (I) and (II). 1Assuming that the given statements are true, find out which of the conclusions is/are definitely true. 2
Statements:
Q < K
K > J
S >=Q
Conclusions:
(I) S < K
(II) J > Q
- A.
(1) Only conclusion (I) is true
- B.
Only conclusion (II) is true 9
- C.
Both conclusions (I) and (II) are true
- D.
Neither conclusion (I) nor (II) is true
Attempted by 137 students.
Show answer & explanation
Correct answer: D
Correct Answer: Neither conclusion (I) nor conclusion (II) is definitely true.
Given statements:
Q < K
K > J
S ≥ Q
Analysis of conclusions:
Conclusion (I) — S < K: Not definite.
Explanation: S ≥ Q and Q < K do not force S < K. Counterexample showing the conclusion can be false: take Q = 5, K = 10, S = 12. These values satisfy the given statements but S < K is false.
Conclusion (II) — J > Q: Not definite.
Explanation: K > J and Q < K do not establish any ordering between J and Q. Counterexample showing the conclusion can be false: take Q = 5, K = 10, J = 3. These values satisfy the given statements but J > Q is false.