Statements C ge D E Z X le H ge C Conclusions I C lt Z ...........

Logical Reasoning(Master ) Coded inequality

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Statements: C ≥ D = E; Z = X ≤ H ≥ C

Conclusions: I. C < Z II. D ≤ X

if only conclusion I is true.

if only conclusion II is true.

if either conclusion I or II is true.

if neither conclusion I nor II is true.

if both conclusion I and II are true.

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Explanation:

Given Statements: C ≥ D = E; Z = X ≤ H ≥ C
Given Conclusions: I. C < Z II. D ≤ X
Checking C1: C < Z
From eq 2, we get
C ≤ H ≥ X = Z
Here, signs of inequalities are getting reversed and therefore we can't establish a definite relationship between these two elements. Hence, C1 doesn't follow.
Checking C2: D ≤ X
Combining eq 1 and 2, we get
D ≤ C ≤ H ≥ X
Once again the signs are getting reversed and therefore no definite relation can be established between D and X. Hence, C2 doesn't follow either.