question_answer

Direction: In these question:  symbols @, , #,  and % are used with differs.' meanings as follows

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

'A  B' means 'A is greater than B'

'A# B' means 'A is either smaller than or equal to?

'A  B' means 'A is either greater than or equal to B'

'A % B' means 'A is neither smaller than nor 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   V  I, I  M, M # Q

Conclusions

I. I # Q

II. I  Q

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: C

Solution :

\[\Rightarrow \,<\] \[\\Rightarrow\,>\] \[\#\Rightarrow \,\le \] \[*\Rightarrow \,\ge \] \[%\Rightarrow \,=\] [c] Statements \[V\,\\,I\RightarrowV>I,\,\,I*M\RightarrowI\geM\]

\[M\#Q\Rightarrow M\le Q\]

Therefore, \[V>I\ge M\le Q\]

Conclusions

I. \[I\#Q\Rightarrow I\le Q\]   (Can be True)

II. \[I*Q\Rightarrow I\ge Q\] (Can be True)

So, either Conclusion I or II is true.