Analysis of Stone Weight Relationships

The problem provides several relationships between the weights of five stones: A, B, C, D, and E.

• Each stone has a different weight.
• E's weight is less than A: E < A
• E's weight is more than C: E > C
• A is heavier than D: A > D
• A is heavier than B: A > B
• B is heavier than D: B > D

Determining Possible Weight of Stone C

We are given the weights of stones B and E:

• Weight of B = $120\text{ g}$
• Weight of E = $155\text{ g}$

From the given relationships, we know that E's weight is more than C's weight (E > C).

Substituting the known weight of E:

$155\text{ g} > \text{Weight of C}$

This inequality tells us that the weight of stone C must be less than $155\text{ g}$.

Now, let's examine the given options to find which one satisfies this condition:

• Option 1: $156\text{ g}$ (This is greater than $155\text{ g}$, so it's not possible for C)
• Option 2: $162\text{ g}$ (This is greater than $155\text{ g}$, so it's not possible for C)
• Option 3: $152\text{ g}$ (This is less than $155\text{ g}$, so it could be the weight of C)
• Option 4: $159\text{ g}$ (This is greater than $155\text{ g}$, so it's not possible for C)

The only option that fits the condition C < $155\text{ g}$ is $152\text{ g}$. The other conditions (involving A, B, and D) are consistent with this possibility but are not required to determine C's potential weight based on its relationship with E.

Therefore, the possible weight of C is $152\text{ g}$.