The truth table for the following logic circuit is :

A 5V battery is connected across the points X and Y. Assume D₁ and D₂ to be normal silicon diodes. Find the current supplied by the battery if the +ve terminal of the battery is connected to point X.

The logic circuit shown above is equivalent to :

Given below are two statements :

Statement I : PN junction diodes can be used to function as transistor, simply by connecting two diodes, back to back, which acts as the base terminal.

Statement II : In the study of transistor, the amplification factor $$\beta$$ indicates ratio of the collector current to the base current.

In the light of the above statements, choose the correct answer from the options given below.