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 :
N % A, A # L, F $ N
Conclusions :
I. L % F
II. F % A
Statements : N > A ; A < L ; F = N
Combining above statements, we get : $$F=N>A$$ and $$L>A$$
Conclusions :
I. L % F : $$L>F$$ : false
II. F % A : $$F>A$$ : true
Thus, only Conclusion II is true.
=> Ans - (B)
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