Explanation:

Statements:   F < H < E ,      J < D > C ,      F = C < G
Conclusions:  H < C ,      D = G
For conclusion I: H < C
From statements I and III, we get:
C = F < H
Here, the common sign between C and H is ‘<’. Hence C < H or H > C.
Thus conclusion I does not follow.
For conclusion II: D = G
From statements II and III, we get:
D > C < G
Here, we get opposite signs between D and G. Thus no relationship can be established between them.
Hence conclusion II does not follow.
Therefore neither conclusion I nor II follows.