The given statements are followed by two conclusions. Find out which conclusion is FALSE 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

Correct — C.
Rule: 'false' here means 'not established': a conclusion fails unless one same-direction chain proves it.

II: N < K, K < J and J < P.
So N < K < J < P, which proves N < P. II holds.

I: M ≥ N and P > N put both letters at or above N.
Nothing else links M to P, so P > M is not established. I is false.

Only conclusion I is false → option (c).

Why the others are wrong

• (a)
  Only conclusion II is false — II is proved: N < K < J < P is one chain with every sign facing the same way, so N < P is certain and cannot be the false conclusion.
• (b)
  Both conclusion I and II are false — Both false needs II to fail as well, but N < K < J < P proves N < P. I is the conclusion without a chain.
• (d)
  Neither conclusion I nor II is false — Neither false needs P > M to be proved. M ≥ N and P > N put both letters at or above N, which fixes nothing between M and P.

This coded-inequality item is asked the other way round: you pick the conclusion that is false.

The test is unchanged. Link the two letters by one chain in which every sign faces the same way. If such a chain exists, the conclusion is true.

If the two letters are both above (or both below) a shared letter and nothing else joins them, the conclusion is not established, and this key counts that as false.

Key facts

• This key counts P > M as false because the statements leave it undecided, not because they prove it wrong.
• N < K < J < P is a valid chain because every sign faces the same way.
• Two letters that both sit above a shared letter, as M and P do over N, have no fixed relation.

Common traps

• Choosing Neither is false because P > M could be true, when false here means unproved
• Reading M ≥ N < K as M ≥ K by skipping the direction of the second sign

No directly related past PYQ was found.