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Directions (Qs. 16-20): In the follojwing questions, the symbols @, #, $,* and & are used as illustrated below:

‘P # Q’ means ‘P is not smaller than Q’.

‘P $ Q’ means ‘ P is neither smaller than nor greater than Q’.

‘P @ Q’ means ‘P is neither greater than nor equal to Q’.

‘P * Q’ means ‘P is not greater than Q’.

‘P & Q’ means ‘P is neither smaller than nor equal to Q’.

Now, im 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? 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 Conclusion I and II are true.

Q.

	Statements:	H @ N, N & W, W # V
    
	Conclusions:	I. H @ V
			II. V @ N
          

Answer & Explanation
Option: [B]

H < N ........(i); N > W ........ (ii); W ≥ V .......... (iii)

From (ii) and (iii), we get

N > W ≥ V ........ (vi)

From (i) and (iv), no specific relation can be obtained between H and V. Hence, H < V (Conclusion I) is not necessarily true. But V < N (Conclusion II) follows from equation (iv).

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