A $ B means A is greater than B.
A @ B means A is either greater than or equal to B. A * B means A is equal to B.
A **B means A is smaller than B.
A # B means A is either smaller than or equal to B.
Statements: P @ Q, M # N, N**Q
Conclusions: I. P $ M II. N # P

Options

A. If only I is true
B. if only conclusion II is true
C. if either conclusion I or II is true
D. if either I nor II is true

Answer

A

Explanation

Statements: `P ge Q, M le N, N lt Q`
Conclusions: I. `P gt M` II. `N le P`
Combining `P ge Q` and `N lt Q,` we get `P ge Q gt N` so `P gt N` follows. But `P gt N` is diferent from `P ge N` (or `N le P`.) So, II does not follow. Now, continue `P gt N` with `M le N` to get `P gt N ge M`, so `P gt M` follows.