Question Details

In this question, the relationship between different elements is shown in the statements. The statements are followed by conclusions. Study the conclusions based on the given statement and select the appropriate answer.

Statements: U > I ≤ L ≤ O; R < T ≤ Y > E; X > Y > O ≤ B
Conclusions:

I. I < X

II. R > U

Options

A

If only conclusion I is true

B

If only conclusion II is true

C

If either conclusion I or II is true

D

If neither conclusion I nor II is true

E

If both conclusions I and II are true

Show Answer

Correct Answer :

Option A

If only conclusion I is true

Solution :

The correct answer is If only conclusion I is true.


Given Statements:
1. U > I ≤ L ≤ O
2. R < T ≤ Y > E
3. X > Y > O ≤ B

Let us analyze each conclusion step-by-step:

Evaluating Conclusion I: I < X
To check the relationship between I and X, we can combine the relevant statements that connect I and X through common elements (O and Y):
From Statement 1: I ≤ L ≤ O, which implies IO (or OI).
From Statement 3: X > Y > O.
Combining these gives: X > Y > O ≥ I.
Since X is strictly greater than Y, Y is strictly greater than O, and O is greater than or equal to I, it clearly follows that X is strictly greater than I (X>I or I<X).
Therefore, Conclusion I is true.

Evaluating Conclusion II: R > U
To check the relationship between R and U, let us try to trace a path connecting R to U using common elements:
From Statement 2: R < T ≤ Y.
From Statement 3: Y > O.
From Statement 1: U > I ≤ L ≤ O.
Here, between U and O, we have U > I ≤ L ≤ O. The inequality symbols between U and O change direction (U > I and I ≤ O). Thus, no definite relationship can be established between U and O, nor between R and U.
Therefore, Conclusion II is false.

Conclusion:
Since only Conclusion I is logically true, the appropriate option is If only conclusion I is true.

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