`'P**Q'` mean 'P is neitehr equal nor smaller than Q'
`'Po+Q'` means, 'P is not smaller than Q'
`'P$Q'` means, 'P is neither greater nor smaller than Q'
`'P epsiQ'` means, 'P is neither greater nor equal to Q'
'P@Q' means, 'P is not greater than Q'
Now according to the following statement if they are true, judge their Conclusions I, II and III follow definitely true.
Statements
`A**B,`B@C,` A$D, D epsiE`
Conclusions
I. `A**B`
II. `C$A`
III. D@E

Options

A. Only I is true
B. I and II are true
C. Only III is true
D. None one is true

Answer

A

Explanation

Statements
`E gtD=AgtBgeC`
Conclusions
I. `E**B to E gt B` (True)
II. `C$A to C=A` (False)
III. `D@E to DleE` (False)