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.\[H\text{ }\#\text{ }W\]

II. \[H\text{ }\#\text{ }E\]

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: D

Solution :

@\[\Rightarrow \,\,<\] \[\#\Rightarrow \,\,\ge \] \[\\Rightarrow\,\,=\] % \[\Rightarrow >\] © \[\Rightarrow \le \]   [d] \[E\,%\,W\Rightarrow E>W\], \[\,W\,\,Q\Rightarrow W\le Q\]

\[Q\,\\,T\RightarrowQ=T\], \[\,T\,\,H\Rightarrow T<H\]

Therefore, \[E>W\le Q=T<H\]

Conclusions

I. \[H\#W\Rightarrow H\ge W\](Not true)

II. \[H\#E\Rightarrow H\ge E\] (Not true)

So, neither Conclusion I nor II is true.