The Mangalyaan mission was launched by the rocket:

PSLV-C25

The correct answer is Option (4) - PSLV-C25

The correct rocket used for the launch of the Mangalyaan mission (also known as the Mars Orbiter Mission) was the PSLV-C25.

The Polar Satellite Launch Vehicle (PSLV) is an expendable launch vehicle developed by the Indian Space Research Organisation (ISRO) primarily to launch satellites into polar orbits. PSLV-C25 was specifically configured to carry the Mars Orbiter Mission spacecraft, also known as Mangalyaan, which was India's first interplanetary mission aimed at studying Mars.

On November 5, 2013, the PSLV-C25 rocket successfully launched the Mars Orbiter Mission spacecraft from the Satish Dhawan Space Centre in Sriharikota, India. The mission's objective was to explore Mars' surface features, morphology, mineralogy, and atmosphere. It was a significant milestone for India's space program, as it marked India's first attempt to reach another planet and demonstrated ISRO's capability to undertake interplanetary missions.