question_answer

 

Direction: In the following questions, the symbols @. ©, , % and * are used with the following meaning as illustrated below.

\[P\text{ }\text{ }Q'\]means 'P is not greater than Q'.

\[P\text{ }%\text{ }Q'\]means 'P is not smaller than Q'.

\[P\text{ }*\text{ }Q'\]means 'P is neither smaller than nor equal to Q'.

\[P\text{ }\text{ }Q'\]means 'P is neither greater than nor equal to Q'.

\[P\text{ }\\text{}Q'\]means 'P is neither greater than nor smaller than 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

\[H\text{ }\text{ }W\], \[W\text{ }\\text{}M\], \[M\text{ }B\]

Conclusions

I. \[B\text{ }*\text{ }H~\]

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

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: E

Solution :

©\[\Rightarrow \,\le \] \[%\Rightarrow \,\ge \] \[*\Rightarrow \,>\] \[\Rightarrow \,<\] \[\\Rightarrow\,=\] [e]\[HW\Rightarrow H\le W,\]\[W\M\RightarrowW=M,\]\[MB\Rightarrow M<B\]

Therefore, \[H\le W=M<B\]

Conclusions

I.\[B*H\Rightarrow B>H\](True)

II.\[M%H\Rightarrow M\ge H\](True)

So, both Conclusions I and II are true.