Question Details

Directions: In the question below, relationships between different elements are shown in the statements. The statements are followed by two conclusions. Study the conclusions based on the given statements and select the correct option.

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

Conclusions:
I. A < F
II. G > D

Options

A

If only conclusion I is true

B

If either conclusion I or II is true

C

If only conclusion II is true

D

If both conclusions I and II are true

E

If neither conclusion I nor II is true

Show Answer

Correct Answer :

Option E

If neither conclusion I nor II is true

Solution :

The correct option is If neither conclusion I nor II is true.

Given Statements:
1.
A<BC=D
2.
EF>D
3.
GH<F

Analyzing Conclusion I:

A<F
From statement 1, combining the elements gives:

A<D
From statement 2, we have:

F>D
Evaluating the relationship between
A
and
F
, Conclusion I does not hold true.

Analyzing Conclusion II:

G>D
From statement 3, we get:

G<F
From statement 2, we get:

D<F
Since both
G
and
D
are less than
F
, no definite relationship can be established between
G
and
D
. Therefore, Conclusion II is false.

Hence, neither conclusion I nor II is true.

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