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Consider the following statements regarding the network shown in the figure.
$(1)$ The equivalent resistance of the network between points $A$ and $B$ is independent of the value of $G$.
$(2)$ The equivalent resistance of the network between points $A$ and $B$ is $\frac{4}{3} R$.
$(3)$ The current through $G$ is zero.
Which of the above statements is/are true?

If the potential difference between $B$ and $D$ is zero,the value of $x$ is $\frac{1}{n} \Omega$. The value of $n$ is .......

The potential difference $(V_A - V_B)$ between the points $A$ and $B$ in the given figure is (in $V$)

In the given circuit,if no current flows through the ammeter,what is the value of $X$ in $\Omega$?

In the given circuit,the values of $I_1, I_2, I_3$ are respectively:

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