question_answer

Direction: In the following questions, the symbols @. #, ,  and % are used as illustrated below.

\['PQ'\]means 'P is not smaller than Q'.

\['P\#Q'\]means 'P is neither greater than nor equal to Q'.

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

'P  Q' means 'P is not greater than Q'.

'P % Q' means 'P is neither smaller than nor equal to 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      F  M, M % R, \[EF\]

Conclusions

I.\[M%\text{ }E\]

II. \[RE\]

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 :

Solution

@ # % \[\ge \] < = \[\le \] > Statements

F   M \[\Rightarrow \]F \[\le \] M

M % R \[\Rightarrow \]M > R

\[E\text{ }\text{ }F\Rightarrow E\ge F\]

Therefore, \[E\ge F\le M>R\]

Conclusions

I. M % E \[\Rightarrow \]M > E (Not True)

II. R @ E \[\Rightarrow \]R \[\ge \]E (Not True)

So, neither Conclusion I or II is true.