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.
Statements : K © R, R § M, M * F
Conclusions :
I. F @ R
II. K * M
statements and their meanings are as follows:
K © R: {K}$$\leq$${R}
R § M:{R}$$\geq$${M}
M * F:M<F
these can be simplified as: F<{M}$$\leq$${R} AND {K}$$\leq$${R}.
conclusion I. F @ R: implies F>R which is false as from the equations above
conclusion II. K * M:implies K<M cannot be inferred because of lack of a direct relation
since neither of the conclusions follow therefore the answer is option D
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