Statements H V le Y Y ge F lt Z H ge P R Z M ...........

Logical Reasoning(Master ) Coded inequality

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Statements: H = V ≤ Y , Y ≥ F < Z, H ≥ P = R, Z = M > X

Conclusions: Y > R , M < F, Y = R

Both conclusions I and III follow

Either conclusion I or III follows

Only conclusion III follows

All conclusions follow

None of the conclusions follows

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Master Coded inequality

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Explanation:

Statements: H = V ≤ Y , Y ≥ F < Z, H ≥ P = R, Z = M > X
Conclusions: Y > R , M < F, Y = R

For Conclusion I: Y > R
From statements I and III, we get:
Y ≥ V = H ≥ P = R
Here, the common sign between Y and R is '≥' . Thus Y ≥ R.
Hence conclusion I does not follow individually.

For Conclusion II: M < F
From statements II and IV, we get:
F < Z = M
Here, we the common sign between F and M is '<'. Thus F < M or M > F.
Hence conclusion II does not follow.
For Conclusion III: Y = R

From statements I and III, we get:
Y ≥ V = H ≥ P = R
Here, the common sign between Y and R is '≥' . Thus Y ≥ R.
Hence conclusion III does not follow individually.
Combining conclusion I and III

Since conclusion I is that "Y > R" and conclusion III is that "Y = R" and we have the true relationship as "Y ≥ R", so if we combine both the conclusions, we will arrive at the conclusion that Y is either equal to or greater than R i.e. Y ≥ R.
Thus either conclusion I or III follows.