Instructions

Directions : In the following questions, the symbols ©, #, @, € and $are used with the following meaning as illustrated below: P © Q means P is not greater than Q. P # Q means P is neither greater than nor equal to Q P @ Q means P is neither greater than nor smaller then Q P € Q means P is neither smaller than or equal to Q P$ Q means P is not smaller than Q.
Now in each of the following questions assuming the given statements to be true, find which of the conclusions given below them are definitely true?

Question 30

# Statements U @ N, N $F, F$ A, A € R Conclusions I. A @ U II. N € R III. R © U IV. U € A

Solution

U@N means U is neither greater nor smaller than N
means,U=N
N$F means N is not smaller than F means N>=F Similarly F$A means F>=A
A€R means A is neither smaller nor equal to R
means A>R
Combining all the inference we get,
U=N
N>=F>=A>R
Conclusion 2 is N€R means N>=R which is definitely true according to the inference drawn from the given statements
Conclusion 1 is A@U means A=U which might be possible because U=N and N>=A otherwise U>A which is stated in 4th conclusion.
Hence option E