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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:	J * D, Q # D, Q @ M
    
	Conclusions:	I. Q & J
			II. Q $ J
       

Answer & Explanation
Option: [C]

J ≤ D ........ (i); Q ≥ D ..... (ii); Q < M ....... (iii)

Combining (i) and (ii), we get

Q ≥ D ≥ J

=> Q > J (Conclusion I) or Q = J (Conclusion II)

Hence, either conclusion I or Conclusion II is true

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