Gas has a volume of 120m at s.t.p. If the gas is compressed and adibatically to a volume of 25m...

You can not stand mistrakes in this business. Your spelling and grammar and arithmetic must be perfect.

We use Shift-6 for powers such as m^3 for cubic meters. The "and" is extraneous.

"... new temperature, pressure and the work done on the gas respectively are Cp 1.6 and Cv 1.20?" makes no sense.

"A gas has a volume of 120m^3 at s.t.p. If the gas is compressed adiabatically(sp) to a volume of 25m^3 ..."

The combined gas law is completely defined by one equation.
PV = NRT
where
P = pressure
V = volume
N = quantity of gas
R = a constant depending on what units you want to use
T = absolute temperature

You are given that N and R are constant. "Adiabatic" means no external heating or cooling. Therefore P1V1/T1 = P2V2/T2. Plugging in the given values we have

1 * 120/273 = P2 * 25/T2

You can not solve two unknowns with only one equation. So the conclusion is "insufficient information". Either that or you have made a mistrake in the presentation.