Question Details

Assuming the truth of the given statements, decide which of the proposed conclusions (I and II) is/are definitely correct, and choose the option that corresponds to your findings.

Statements:
O ≥ B = X < Q ≤ P < F > L ≥ Z
Conclusions:
I. F > B
II. X < L

Options

A

Neither conclusion I nor II is correct

B

Only conclusion I follows

C

Both conclusions I and II are correct

D

Either conclusion I or II is correct

E

Only conclusion II follows

Show Answer

Correct Answer :

Option B

Only conclusion I follows

Solution :

Correct Answer: Only conclusion I follows


To determine which of the conclusions logically follow from the given statements, let us analyze the relationships step-by-step.


Given Statement:

OB=X<QP<F>LZ


Analysis of Conclusion I: F>B

Let us extract the inequality chain connecting B and F:

B=X<QP<F

Since all the relational signs between B and F point in the same direction (strictly increasing or equal towards F), we can combine them to get:

B<F

This can also be written as F>B. Therefore, Conclusion I is definitely correct.


Analysis of Conclusion II: X<L

Let us extract the inequality chain connecting X and L:

X<QP<F>L

Here, between X and L, we observe opposing inequality signs (< and >). Specifically, F is greater than both X and L, which means no definite relation can be established between X and L.

Therefore, Conclusion II does not follow.


Conclusion:

Since only Conclusion I is true, the correct choice is Only conclusion I follows.

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