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 conclusions logically follow:

Statements: P ≤ K > L > S = W; V = B ≥ N < J < W ≥ R
Conclusions:
I. R < K
II. V > P

Options

A

Either conclusion I or II is true

B

Both conclusions I and II are true

C

Only conclusion I is true

D

Only conclusion II is true

E

Neither conclusion I nor II is true

Show Answer

Correct Answer :

Option E

Neither conclusion I nor II is true

Solution :

The correct answer is Neither conclusion I nor II is true.

Given Statements:

PK>L>S=W

V=BN<J<WR

Step-by-step Evaluation:

1. Evaluation of Conclusion I:


Conclusion I: R<K

To check the relationship between R and K, we trace the path connecting R to K through the common element W:
From the second statement, WR, which means RW.
From the first statement, W=S<L<K.
Combining the statements between R and K across the elements gives conflicting directional signs, preventing a definite relation from being established. Therefore, Conclusion I does not logically follow.

2. Evaluation of Conclusion II:


Conclusion II: V>P

To check the relationship between V and P, we link the statements together:
From statement 2: V=BN<J<W
From statement 1: W=S<L<KP
Combining the full chain from V to P:

V=BN<J<W=S<L<KP

Since opposite comparison symbols ( and <) are present in the chain between V and P, no definite relation can be derived. Therefore, Conclusion II does not follow.

Since neither conclusion follows, the correct option is Neither conclusion I nor II is true.

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