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 H # T, T @ L, L % F

Conclusions

I. F  H

II. H # L

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 :

\[\Rightarrow \,<\] \[\\Rightarrow\,>\] \[\#\Rightarrow \,\le \] \[*\Rightarrow \,\ge \] \[%\Rightarrow \,=\] [a] Statements \[H\#T\Rightarrow H\le T\],

\[TL\Rightarrow T<L\]

Therefore, \[H\le T<L=F\]

Conclusions  I. \[F\H\ Rightarrow F>H\]  (True)

II. \[H\#L\Rightarrow H\le L\]    (Not True)

So, only Conclusion I is true.