Question Details

Based on the provided statements, determine which of the conclusions (I and II) logically follow, assuming the relationships declared are correct. Choose your response from the given options.

Statements:
T > L <= U = P > B <= A
Conclusions:
I. U > A
II. P <= A

Options

A

Only conclusion I is logically valid

B

Either conclusion I or conclusion II is logically valid

C

Only conclusion II is logically valid

D

Both conclusion I and conclusion II are logically valid

E

Neither conclusion I nor conclusion II is logically valid

Show Answer

Correct Answer :

Option B

Either conclusion I or conclusion II is logically valid

Solution :

The correct answer is Either conclusion I or conclusion II is logically valid.


Step-by-Step Explanation:


1. Analyze the Given Statements:

We are given the combined inequality statement:

T>LU=P>BA


2. Evaluate Conclusion I (U>A) and Conclusion II (PA):

First, observe that U=P. We can substitute U with P in Conclusion I:

Conclusion I becomes: P>A

Conclusion II is: PA


Now, let's examine the relationship between P and A from the main statement:

P>BA

Since the inequality signs between P and A are in opposite directions (> and ), no definite relationship can be established between P and A on their own. Therefore, individually, neither P>A nor PA is definitely true.


3. Check for Either-Or Condition:

For two conclusions to form an "Either-Or" pair, the following conditions must be met:

1. Both conclusions must individually be uncertain/invalid based on the statement.
2. Both conclusions must compare the same two elements (here, U and A, where U=P).
3. The conclusions together must cover all possible mathematical relations between the two variables (>, <, and =).


Combining P>A (Conclusion I) and PA (Conclusion II, which means P<A or P=A), all three possible mathematical outcomes between P and A are completely covered.


Hence, exactly one of the two conclusions must logically hold true. Therefore, Either conclusion I or conclusion II is logically valid.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • CLAT
  • intermediate
  • 2 hours
  • current affairs, general knowledge, legal reasoning, logical reasoning, quant

  • CLAT
  • intermediate
  • 2 hours
  • current affairs, english, general knowledge, legal reasoning, logical reasoning, quant

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...