A battery, an ammeter and a variable resistor connected in series.A voltmeter is connected across fixed resisitor.The value of variable resistor is reduced.What would happen to ammeter and voltmeter reading?

Answer 1

the voltmeter has very high resistance, so it is effectively not part of the circuit. It draws almost no current.
The ammeter has very low resistance, so it is effectively invisible as a load.

as the resistor goes up, the current goes down. I = E/R
The voltage across the resistor stays constant, however, so since the voltmeter measures that voltage, its reading also does not change.