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Direction: In the following questions, the symbols @. ©, , % and * are used with the following meaning as illustrated below.

\[P\text{ }\text{ }Q'\]means 'P is not greater than Q'.

\[P\text{ }%\text{ }Q'\]means 'P is not smaller than Q'.

\[P\text{ }*\text{ }Q'\]means 'P is neither smaller than nor equal to Q'.

\[P\text{ }\text{ }Q'\]means 'P is neither greater than nor equal to Q'.

\[P\text{ }\\text{}Q'\]means 'P is neither greater than nor smaller than Q'.

Now, in each of the following questions assuming the given statements to be true, find which of the two Conclusions I and II given below them is/ are definitely true?

Statements

\[KV\], \[VN\], \[N\text{ }%\text{ }F\]

Conclusions

I. F @ V

II. K @ N

Give answer

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

Correct Answer: B

Solution :

©\[\Rightarrow \,\le \] \[%\Rightarrow \,\ge \] \[*\Rightarrow \,>\] \[\Rightarrow \,<\] \[\\Rightarrow\,=\] [b]\[KV\Rightarrow K<V\], \[V\text{ }N\Rightarrow V\le N\],\[N%\text{ }F\Rightarrow N\ge F~~\]

Therefore, \[K<V\le N\ge F\]

Conclusions

I. F @ V \[\Rightarrow \]F < V (Not True)

II. K @ N \[\Rightarrow \]K < N (True)

So, only Conclusion II is true.