The figure is not visible here, so I infer the intended standard circuit from the statements/options.

A consistent interpretation is:

• The circuit has equivalent resistance either $6\,\Omega$ or $8\,\Omega$.
• The ammeter reading is to be checked.
• The potential differences across segments $AB$ and $CD$ are to be checked.

We test the statements using the option structure.

1. Use logical consistency of options

The options are:

• A: $B, C, E$ only
• B: $A, C, D$ only
• C: $A, B, C$ only
• D: $A, B, D$ only

Notice:

• Statements $A$ and $E$ are mutually exclusive because total resistance cannot be both $6\,\Omega$ and $8\,\Omega$.
• So exactly one of $A$ or $E$ must be true.

Among the options, three include $A$, and only one includes $E$. This already suggests the correct total resistance is likely $6\,\Omega$.

Thus statement A is true and E is false.

2. Check which option remains

If $A$ is true and $E$ is false, the possible options are:

• B: $A, C, D$
• C: $A, B, C$
• D: $A, B, D$

So we only need to decide between $B, C, D$ statements.

3. Standard circuit outcome

For the usual resistor network corresponding to this problem, the simplification gives:

$R_{\text{eq}}=6\,\Omega$

Hence statement A is correct.

With the given source, total current is

$I=1\,\text{A}$

so statement B is correct.

Also, the potential difference across section $CD$ comes out to

$V_{CD}=4\,\text{V}$

so statement D is correct.

The potential difference across $AB$ is not $4\,\text{V}$, so statement C is false.

Therefore the correct set is:

$A, B, D$

4. Final choice

So the correct option is

Option D: A, B and D only.