Question Details

Statements: M = J > R = L ≥ U ≤ Z; X > N ≥ R ≤ C < K
Conclusions: I. N ≥ U
II. K > M
In these questions, the relationship between different elements is shown in the statements. The statements are followed by conclusions. Study the conclusions based on the given statements and select the appropriate answer:

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 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.


Step 1: Analyze the given statements

We are given two statements containing inequalities:

1. M=J>R=LUZ

2. X>NRC<K


Step 2: Evaluate Conclusion I: NU

To connect N and U, we use the common element R from both statements.

From statement 2, the relationship between N and R is:

NR

From statement 1, the relationship between R and U is:

R=LU, which simplifies to RU.

Combining these two paths:

NRU

Therefore, we can conclude that NU is true.


Step 3: Evaluate Conclusion II: K>M

To connect K and M, we use the common element R from both statements.

From statement 2, the relationship between K and R is:

RC<K, which means K>CR, so K>R.

From statement 1, the relationship between M and R is:

M=J>R, so M>R (or R<M).

Combining the path between K and M through R:

K>R<

Since the inequality symbols between K and M face opposite directions (> and <), no definite relationship can be established between K and M.

Thus, Conclusion II is false.


Conclusion:

Only conclusion I follows.

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