The given statements are followed by two conclusions. Find out which conclusion is TRUE based on the given statements. Statements: J > K = L, M ≥ N < K, O < J < P, N > Q > R Conclusions: I. P > M II. N < P
- (a)Only conclusion I is true
- (b)Only conclusion II is true
- (c)Neither conclusion I nor II is true
- (d)Both conclusion I and II are true
Answer
Why
Correct — B.
Rule: a conclusion holds only if a chain of signs pointing the same way links its two letters.
II: N < K (from M ≥ N < K), K < J (from J > K), J < P (from O < J < P).
So N < K < J < P, and N < P is true.
I: M ≥ N sets M at or above N. Nothing links M to P, so P > M is not certain.
Only conclusion II is true → option (b).
Why the others are wrong
- (a)Only conclusion I is true — Only conclusion I fails: M ≥ N puts M at or above N, and P is above N too, but nothing says which of M and P is larger.
- (c)Neither conclusion I nor II is true — Neither misses the chain N < K < J < P. Every sign in it points the same way, so N < P is certain.
- (d)Both conclusion I and II are true — Both needs P > M as well, and M is tied to nothing but N. M could sit above P or below it.
Concept
Reduce each conclusion to its two letters and look for a path between them. Signs pointing the same way (< with <, or ≥ with >) carry the relation along the chain, and an = passes it on unchanged.
If the path has signs facing opposite ways, as in M ≥ N < K, the two ends cannot be compared, and the conclusion is not definitely true.
M appears just once, in M ≥ N. That gives M a floor and no ceiling, so M may be smaller or larger than P.
Key facts
- N < K < J < P, so N < P is definite.
- M ≥ N and N < K face opposite ways, so M cannot be compared with K, J or P.
- A conclusion needs a definite relation, not just a possible one.
Study next
Common traps
- Joining M ≥ N and N < K as if they gave M > K
- Accepting P > M because it is possible, when the test is whether it is certain
22 Sep 2025, 09:00, Reasoning Q.3 prints the same statements and conclusions but asks which is FALSE, keyed Only conclusion I is false: there, false means not definitely true.
17 Sep 2025, 16:00, Reasoning Q.7 uses the same layout with S, T and U, and asks about T and O (keyed Neither conclusion I nor II is true).
Related PYQs
No directly related past PYQ was found.