In the following questions, the symbols@ #, $, * and % are used as illustrated below :
P @ Q’ 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 ?
Give answer (1) if only Conclusion I is true.
Give answer (2) if only Conclusion II is true.
Give answer (3) if either Conclusion I or II is true.
Give answer (4) if neither Conclusion I nor II is true.
Give answer (5) if both Conclusions I and II are true.
(i).P @Q⇒P⊆Q
Therefore, P>Q or P=Q
Thus P≥Q
(ii)P#Q⇒⊇Q and P≠Q
Therefore, P>Q
(iii). P$Q⇒P⊆Q andP⊇Q
Therefore P=Q
(iv)P*Q⇒P ⊇Q
Therefore , P<Q and P=Q
thus, P≤Q
(v)P%Q⇒ P⊆Q and P≠Q
Therefore ,P<Q
Statements :
H $ K, T # H, W * T
Conclusions :
I. K % W
II. T # K
Statements : H = K ; T < H ; W $$\leq$$ T
Combining above statements, we get : $$K=H>T\geq W$$
Conclusions :
I. K % W : $$K>W$$ : true
II. T # K : $$T<K$$ : true
Thus, both Conclusions I and II are true.
=> Ans - (E)
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