Instructions

In the following question the symbols @, © , * , $and % are used with the following meaning as illustrated below: ‘P * Q’ means ‘P is neither smaller than nor equal to Q’. ‘P © Q’ means ‘P is neither greater than nor equal to Q’. ‘P @ Q’ means ‘P is not greater than Q’. ‘P % Q’ means ‘ P is not smaller than Q’. ‘P$ Q’ means ‘P is neither smaller than nor greater than Q’.
Now in each of the following questions assuming the given statement 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 Conclusions I and II are true.

Question 150

# Statements:J © K, K @ D, D$F Conclusions:I. F * K II.F$K

Solution

The given expression can be written as $$J < K \leq D = F$$

The conclusions are (i) F > K (ii) F = K

From the expression, it can be seen that F is either greater than or equal to K.

The conclusions given are collectively exhaustive. Hence,one of them must be true.

Option C is the right answer.