a multistage rocket is a rocket. a rocket could be a multistage rocket. all multi-stage rockets are rockets, but not all rockets are multi-stage. For example the space misstions. They are all multi staged, but each stage is a rocket on its own.

MULTISTAGE rocket ENGINES have MORE than A single STAGE and ARE more EFFICIENT in ACCELERATING the ROCKET................

No if it's a single-stage rocket, yes if it's a 2- or multi-stage rocket.

The stages of a rocket going into space:

The first stage of a rocket is used to acquire the acceleration of a rocket. When the fuel of the first stage is exhausted ,it detaches from the rockets and drops off.

The velocity at this stage becomes the initial velocity of the second stage .Now the second stage is ignited ,the rocket gains acceleration and it's velocity foes on increasing . The removal of the surplus mass contained in the first stage helps in attaining the higher velocity .When the fuel of the second stage is exhausted ,it too detached from the rocket .Finally at the third stage , the rocket starts off with the required velocity.

That's a rocket with two stages- when the first stage (or section) runs out of fuel, it separates from the top half (second stage) and falls away, leaving that second stage to fire up, and drive the rocket higher.