Question Details

Statements: A > C ≥ B = D ≤ F < S; G ≥ B = E ≤ H > I

Conclusions: I. H ≥ F
II. E < S

In these questions, the relationship between different elements is shown in the statements. The statements are followed by conclusions. Study the conclusions based on the given statements and select the appropriate answer:

Options

A

If only conclusion I is true

B

If only conclusion II is true

C

If either conclusion I or II is true

D

If both conclusions I and II are true

Show Answer

Correct Answer :

Option B

If only conclusion II is true

Solution :

The correct answer is If only conclusion II is true.


Step-by-Step Explanation:


Given Statements:

1. A>CB=DF<S

2. GB=EH>I


Evaluating Conclusion I: HF

To check the relationship between H and F, we combine the relevant parts of the statements using the common element B:

From statement 1, we have: B=DF, which means BF.

From statement 2, we have: B=EH, which means BH or HB.

Connecting H to F through B: HBF.

Since the inequality signs between H and F are in opposite directions ( and ), no definite relation can be established between H and F.

Therefore, Conclusion I is false.


Evaluating Conclusion II: E<S

To check the relationship between E and S, we combine the relevant parts using the common element B:

From statement 1, we have: B=DF<S, which simplifies to B<S.

From statement 2, we have: B=E.

Substituting E for B in the relationship B<S gives: E<S.

Therefore, Conclusion II is true.


Hence, only Conclusion II is true.

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