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

Conclusions

I. \[D\M~~~\]

II. \[M%\text{ }D\]

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 :

Solution

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

\[M\,\\,K\RightarrowM=K\]

3 K\[\Rightarrow \]D < K

\[R\text{ }\#\text{ }K\Rightarrow R<K\]Therefore,

R < M = K > D

Conclusions

I.  D  M \[\Rightarrow \]D = M (May be)

II. M % D \[\Rightarrow \]M > D (May be)

D is either smaller than or equal to M. Therefore, either Conclusion I or II is true.