It seems the circuit diagram referred to in the question is missing from the prompt.

Since the current drawn from a $6\,\text{V}$ battery depends entirely on the circuit configuration and equivalent resistance, the answer cannot be determined uniquely from the text alone.

What is needed

To solve it, we need the circuit diagram so that we can:

1. Find the equivalent resistance $R_{\text{eq}}$ of the network.
2. Use Ohm’s law: $I = \frac{V}{R_{\text{eq}}}$
3. Compare the resulting current with the options.

Why the stored answer cannot be verified

If option A is $1\,\text{A}$, that would mean: $R_{\text{eq}} = \frac{6}{1} = 6\,\Omega$ But without the circuit, there is no way to confirm whether the equivalent resistance is actually $6\,\Omega$.

So the problem is under-specified as provided.