Statements:
H ? G < I; F ? G > Z
Conclusions:
I. F ? H II. Z < I

Correct Answer: if only conclusion I is true

Explanation:

H ? T ...(i) T < L ...(ii) L = F ...(iii)
Combining these we get H ? T < L = F.
Hence F > H and I follows.
But H < L and Hence II (H ? L ) does not follow.

Correct Answer: if either conclusion I or conclusion II is true

Explanation:

V > I ...(i) I ? M ...(ii) M ? Q ...(iii)
From (ii) and (iii) I and Q, can't be compared. But I and II make a complementary pair. Hence either I (I ? Q) or II (I ? Q) follows.

Correct Answer: if only conclusion II is true

Explanation:

P < W ...(i) W ? D ...(ii) D > J ...(iii)
From (ii) and (iii) W ? D > J or J < W ...(iv)
Hence II follows. However, from (i) and (iv) we can conclude that J and P can't be compared. Hence I does not follow.

Correct Answer: if neither conclusion I nor conclusion II is true

Explanation:

E < U ...(i) U = R ...(ii) R > F ...(iii)
From (i) and (ii) E < R ...(iv)
Now, From (iii) and (iv) E and F can't be compared
Hence neither I nor II follows.

Correct Answer: if neither conclusion I nor conclusion II is true

Explanation:

T ? J ...(i) J ? I ...(ii) I < W ...(iii)
From (ii) and (iii) J and W can't be compared. Hence I does not follow
From (i) and (ii) T and I can't be compared. Hence II does not follow

Correct Answer:

Explanation:

S ? T < U ? W; T ? R, G > U
Check for I:
S ? T ? R
? R ? S follows
Check for II:
G > U ? W
? W < G follows
Hence, both I and II follows

Correct Answer: if neither conclusion I nor II is true

Explanation:

C ? D = E ? F, Y < D ? W
Check for I:
C ? D > Y
It means C > Y. Thus, I does stand true. check for II:
Y < D ? F
It means F > Y. Thus, II also does not stand true.

Correct Answer: if only conclusion II is true

Explanation:

N < O ? R > T; R < A; B ? T
Check for I:
N < O ? R > T
? No definite relation can be found between N and A.
Check for II:

Correct Answer: None is true

Explanation:

R < F ...(i) F ? D ...(ii) D ? M ...(iii)
From (i) and (ii) R and D can't be compared. Hence neight I nor III follows.
From (ii) and (iii) M and F can't be compared. Hence II does not follows.

Correct Answer: Only either I or II and III are true

Explanation:

M ? W ...(i) W = N ...(ii) N > B ...(iii)
Combining these we get M ? W = N > B.
Hence M ? N or N ? M,
Which means either I (N = M) or II (N < M) follows.
Also M > B and II (M ? D) Hence III definitely true.