Question Details

Directions (80-82):In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below is/are definitely true and give your answer accordingly.

Statement: A < G < R > J ≤ Q = Z ≤ O; P > T = I ≤ J ≥ M
Conclusion: I. O ≥ I
II. M ≥ T
III. P > M

Options

A

Only I is true

B

Only II is true

C

Both I and II are true

D

Only I and either II or III are true

E

Either II or III is true

Show Answer

Correct Answer :

Option A

Only I is true

Solution :

` XML tags. Let's carefully construct the clean output: ```xml Only I is true

The correct answer is Only I is true.

To determine which conclusion(s) are definitely true, let us break down and combine the given statements step-by-step.

Given Statements:
1. A<G<R>JQ=ZO
2. P>T=IJM

Now, let us evaluate each conclusion independently:

Evaluating Conclusion I: OI

From statement 1, we can establish the relationship between O and J:
OZ=QJOJ

From statement 2, the relationship between J and I is given as:
JI

Combining these two results:
OJIOI

Hence, Conclusion I is definitely true.

Evaluating Conclusion II: MT

From statement 2, we have the chain connecting T and M:
T=IJM

Since the inequality signs between T and M are facing opposite directions ( and ), no definite relationship can be determined between M and T.

Hence, Conclusion II is not definitely true.

Evaluating Conclusion III: P>M

From statement 2, we have:
P>T=IJM

Again, due to conflicting inequality signs along the path from P to M, no clear relation exists between P and M.

Hence, Conclusion III is not definitely true.

Therefore, only Conclusion I is true.

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