Statements P ge Q gt F ge I Y gt F ge U Conclusions I P gt Y ...........

Logical Reasoning(Master ) Coded inequality

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Statements: P ≥ Q > F ≥ I; Y > F ≥ U

Conclusions: I. P > Y II. P > U

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: P ≥ Q > F ≥ I; Y > F ≥ U
Given Conclusions: I. P > Y II. P > U
Checking C1: P > Y
Combining eq 1 and 2, we get
P ≥ Q > F < Y
Clearly, signs of inequalities are getting reversed here between P and Y. Therefore, no relationship between P and Y can be established. Hence, C1 doesn't follow.
Checking C2: P > U
Combining eq 1 and 2, we get
P ≥ Q > F ≥ U
Here, the common sign of inequalities between P and U is '>' and the conclusion given is also P > U. Therefore, C2 follows.