Instructions

In the following questions, the symbols §, *, $, @ and © are used with the following meaning as illustrated below:
‘P $ Q’ means ‘P is neither smaller than nor greater than Q`.
‘P § Q’ means ‘P is not smaller than Q’.
‘P © Q’ means ‘P is either smaller than or equal to Q’.
‘P * Q’ means ‘P is smaller than Q’.
‘P @ Q’ means 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:
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 206

Statements : W $ F, F § R, R * M
Conclusions :
I. R * W
II, R $ W

Solution

the statements with their meanings are as follows:

W $ F:W=F:
F § R:{F}$$\geq$${R}
R * M:R<M
these can be simplified as :W={F}$$\geq$${R} AND M>R

conclusion I. R * W: implies R<W, can be true as can be seen from the equation
conclusion II, R $ W:implies R=W can be true as can be seen from the equation
but since either one of them can only be true as once therefore the answer is option C.