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. Assuming that the given statements are true, find out which of the conclusions is/are definitely true? Statements: M < R
L > S
L = M ≥ N ≤ P
Conclusions: (I) P > S (II) N < R
Answer: B. Only conclusion (II) is true — From statement (2) and (3): L > S and L = M ⇒ M > S . From (3): L = M ≥ N ⇒ M ≥ N (so N ≤ M). From M < R (statement 1) we have M < R . Combining M ≥ N and M <…
- A.
Only conclusion (I) is true
- B.
Only conclusion (II) is true
- C.
Both conclusions (I) and (II) are true
- D.
Neither conclusion (I) nor (II) is true
Attempted by 153 students.
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Correct answer: B
From statement (2) and (3): L > S and L = M ⇒ M > S . From (3): L = M ≥ N ⇒ M ≥ N (so N ≤ M). From M < R (statement 1) we have M < R . Combining M ≥ N and M < R gives N < R (since N ≤ M < R ⇒ N < R). So conclusion (II) N < R is definitely true. For conclusion (I) P > S : from (3) we only know P ≥ N and from above M > S and M ≥ N . But there is no definite relation between P and S — P could be ≤ S or > S depending on values. Hence conclusion (I) is not definitely true. Therefore only conclusion (II) is certainly true.