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Logical Reasoning(Master ) Coded inequality

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Statements: Y ≥ I > S , H ≤ A ≤ I , K > J > A , Z = H < W

Conclusions: Z < Y, J ≥ W , Z = Y

None of the conclusions follow

Only conclusion I follows

Either conclusion I or III follows

Only conclusion III and either conclusion I or II follow

All the conclusions follow

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Master Coded inequality

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Explanation:

Statements: Y ≥ I > S , H ≤ A ≤ I , K > J > A , Z = H < W
Conclusions: Z < Y, J ≥ W , Z = Y

For conclusion I: Z < Y
From statements I, II and IV, we get:
Y ≥ I ≥ A ≥ H = Z
Here, common sign between Y and Z is ' ≥'. Thus Y ≥ Z or Z ≤ Y.

Hence conclusion I does not follow individually.

For conclusion II: J ≥ W
From statements II, III and IV, we get:
J > A ≥ H < W
Here, we can see that there is opposite sign between J and W, thus no relationship can be established between them.

Hence conclusion II does not follow.

For conclusion III: Z = Y

From statements I, II and IV, we get:
Y ≥ I ≥ A ≥ H = Z
Here, common sign between Y and Z is ' ≥'. Thus Y ≥ Z or Z ≤ Y.

Hence conclusion III does not follow individually.
Combining conclusions I and III:

While combining conclusion I i.e. Z < Y and conclusion III i.e. Z = Y, we'll get Z ≤ Y, which is the actual relationship between them.
Therefore, Either conclusion I or conclusion III follows.