question_answer

Direction: The symbols @, #, , % and © are used with different meanings as follows

'A @ B' means 'A is smaller than B'.

'A # B' means 'A is not smaller than B'.

'A  B' means 'A is neither smaller than nor greater than B'.

'A % B' means 'A is greater than B'.

'A © B' means 'A is not greater than B'.

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

Statements Conclusions

I.\[F\text{ }%\text{ }R\]

II. \[F\text{ }\#\text{ }M\]

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: A

Solution :

@\[\Rightarrow \,\,<\] \[\#\Rightarrow \,\,\ge \] \[\\Rightarrow\,\,=\] % \[\Rightarrow >\] © \[\Rightarrow \le \]   [a] \[F\#H\Rightarrow F\ge H\], \[\,H\,%\,K\Rightarrow H>K\],

\[K\R\RightarrowK=R\], \[\,R\,\,M\Rightarrow R\le M\]

Therefore, \[F\ge H>K=R\le M\]

Conclusions

I. \[F\,%\,R\Rightarrow F>R\]   (True)

II. \[F\#M\Rightarrow F\ge M\] (Not True)

So, only Conclusions I is true.