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 | ||||||||||
|
||||||||||
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. |
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