Three Statements are given followed by Three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

All ‘alphas’ are ‘betas’.

No ‘beta’ is a ‘gamma’.

Some ‘thetas’ are ‘alphas’.

Conclusions:

I. Some gammas are alphas.

II. Some thetas are betas.

III. No alpha is a gamma.

Both conclusions II and III follow.