P `alpha` Q means P is greater than Q.
P `beta` Q means P is either greater than or equal to Q.
P `gamma` Q means P is equal to Q.
`delta` Q means P is smaller than Q.
`eta` Q means P is either smaller than or equal to Q.
Statemens: `O alpha K, S beta H, S delta A, H gamma O`
onclusions: I. `S alpha O` II. `A alpha K`

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

B

Explanation

Statements: `O gt K, S ge H, S lt A, H = O`
Conclusions: I. `S gt O` II. `A gt k`
From `S ge H` and H = O, we get `S ge O` but is different from `S gt O`. So, I does not follow. Also, O is not less than anything in the given statements, so it shouldn.t be less than anything in a conclusion. So, (Tip 8(i): Quick method) I doesn.t follow. To verify II, first combine: `S lt A` and `S ge H` to get `H le S lt A` to get `H lt A`. Combine `H lt A` with H = O to get `O lt A`. Combine `O lt A` with `O gt K` to get `K lt O lt A` to get `K lt A`. So, II follows. Combine `O lt A` with `O gt K` to get `K lt O lt A` to get `K lt A`. So, II follows.