Question Details

Directions: In the following question assuming the given statements to be true, find which of the conclusion(s) among given conclusions is/are definitely true and then give your answers accordingly.

Statement:
Y ≥ C < O ≥ F < R = B

Conclusions:
I. B > F
II. R > C

Options

A

Only I follows

B

Only II follows

C

Either I or II follow

D

Neither I nor II follow

E

Both I and II follow

Show Answer

Correct Answer :

Option A

Only I follows

Solution :

Correct Answer: Only I follows


To determine which of the conclusions definitely follow, let us analyze the given statement step-by-step.


Given Statement:

YC<OF<R=B


Analyzing Conclusion I: B>F

From the statement, the relationship between F, R, and B is given as:

F<R=B

Since R=B, we can substitute B for R in the inequality F<R:

F<B

This can also be written as B>F.

Therefore, Conclusion I is definitely true.


Analyzing Conclusion II: R>C

From the statement, the path connecting C and R is:

C<OF<R

Notice the inequality symbols between C and R: we have a less-than sign (<) followed by a greater-than-or-equal-to sign (). The opposite directions of these symbols mean that there is a break in the relationship chain between C and R.

Because the symbols are in opposite directions, no definite relation can be established between C and R.

Therefore, Conclusion II does not follow.


Conclusion:

Since only Conclusion I is definitely true, the correct choice is Only I follows.

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