Question Details

Directions: In the following question, relationships between different elements are shown in the statements. Read the statements carefully and determine which of the given conclusions logically follows from them.

Statement:
A ≥ B = C ≥ D > E

Conclusions:
I. A > D
II. A = D

Options

A

If only conclusion I is true

B

If either conclusion I or II is true

C

If neither conclusion I nor II is true

D

If both conclusions I and II are true

E

If only conclusion II is true

Show Answer

Correct Answer :

Option B

If either conclusion I or II is true

Solution :

The correct answer is If either conclusion I or II is true.

Given Statement:
AB=CD>E

Analysis of Conclusions:

To determine the relation between A and D, we combine the statements from A to D:
AB=CD

Simplifying this combined relationship yields:
AD

The relationship AD implies two distinct possibilities:
1. A>D
2. A=D

Now, let us evaluate the given conclusions:
1. Conclusion I: A>D (Is possible, but not definitely true on its own).
2. Conclusion II: A=D (Is possible, but not definitely true on its own).

Since both conclusions together cover all possible cases of the derived relation AD, either Conclusion I or Conclusion II must be true.

Hence, either conclusion I or II is true.

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