Discussion
STATEMENT :
L > K ≥ X < J = N ≤ Y < D
CONCLUSION I : X ≥ Y
CONCLUSION II : L > N
CONCLUSION III : K > J
CONCLUSION IV : D > X
Answer: E
Correct answer: Only IV is true
The chain is \[ L > K \ge X < J = N \le Y < D. \] Its direction reverses at X - everything to the left descends towards X, everything to the right climbs away from it - so X is a low point, and no relation carries across it.
I. \( X \ge Y \): reading right from X gives \( X < J = N \le Y \), so \( X < Y \). The conclusion is definitely false.
II. \( L > N \): L is left of the reversal and N is right of it, so no chain links them. Not determined.
III. \( K > J \): the same break lies between them. Not determined.
IV. \( D > X \): here both elements sit on the same side of the low point, and the chain \( X < J = N \le Y < D \) runs one way throughout with strict links in it. True.
Only IV holds.
Two rules settle every question of this kind. A conclusion follows only when an unbroken chain of links runs between its two elements all pointing the same way; and the chain is strict if it contains at least one strict link, weak if every link is weak.
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