Statements M gt B S Q ge B gt F H lt S ...........

Logical Reasoning(Master ) Coded inequality

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Statements: M > B = S , Q ≥ B > F , H < S ≤ Q , M > S ≥ T

Conclusions: Q > T, Q = T , M > F

None of the conclusions follow

Only conclusion I and either conclusion II or II follow

Either conclusion I or II follows

Only conclusion III and either conclusion I or III follow

All the conclusions follow

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Master Coded inequality

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Explanation:

Statements: M > B = S , Q ≥ B > F , H < S ≤ Q , M > S ≥ T
Conclusions: Q > T, Q = T , M > F

For conclusion I: Q > T
From statements III and IV, we get:
T ≤ S ≤ Q
Here, common sign between T and Q is '≤'. Thus T ≤ Q or Q ≥ T.
Also, From statements I, III and IV, we get:
Q ≥ B = S ≥ T
Here, common sign between Q and T is '≥'. Thus T ≤ Q or Q ≥ T.
Hence conclusion I does not follow individually.

For conclusion II: Q = T
From statements III and IV, we get:
T ≤ S ≤ Q
Here, common sign between T and Q is '≤'. Thus T ≤ Q or Q ≥ T.
Also, From statements I, III and IV, we get:
Q ≥ B = S ≥ T
Here, common sign between Q and T is '≥'. Thus T ≤ Q or Q ≥ T.
Hence conclusion II does not follow individually.

For conclusion III: M > F

From statements I and II, we get:
M > B > F
Here, the common sign between M and F is '>'. Thus M > F.
Hence conclusion III follows.
Combining conclusions I and II:
As the final conclusion is Q ≥ T, so if we combine both the conclusions I and II i.Q. Q > T and Q = T, we get Q ≥ T.
Thus either conclusion I or conclusion II follows.
Therefore either conclusion I or II and conclusion III follow.