Consider the following statements: 1. Ballistic missiles are jet-propelled at subsonic speeds throughout their flights, while cruise missiles are rocket-powered only in the initial phase of flight. 2. Agni-V is a medium-range supersonic cruise missile, while BrahMos is a solid-fuelled intercontinental ballistic missile. Which of the statements given above is/are correct?

Let's analyze each statement regarding missiles:

1. Ballistic missiles are jet-propelled at subsonic speeds throughout their flights, while cruise missiles are rocket-powered only in the initial phase of flight.

Ballistic missiles: This part is incorrect. Ballistic missiles are typically rocket-powered during an initial boost phase, then follow a unpowered, parabolic (ballistic) trajectory guided by gravity and aerodynamics. They achieve very high, often hypersonic, speeds (much faster than subsonic) during their flight. They are not jet-propelled throughout. Cruise missiles: This part is also incorrect. Cruise missiles are jet-propelled (using engines like turbofans or ramjets) and fly at relatively constant altitudes, often guided throughout their flight. While some may use a solid rocket booster for launch, their primary propulsion is usually continuous jet propulsion, not just rocket-powered in the initial phase. They can be subsonic, supersonic, or hypersonic. Therefore, Statement 1 is incorrect.

2. Agni-V is a medium-range supersonic cruise missile, while BrahMos is a solid-fuelled intercontinental ballistic missile.

Agni-V: This part is incorrect. Agni-V is an Intercontinental Ballistic Missile (ICBM) developed by India, designed to deliver nuclear warheads. It is a long-range ballistic missile, not a medium-range supersonic cruise missile. BrahMos: This part is also incorrect. BrahMos is a supersonic cruise missile (a joint venture between India and Russia). It is not a solid-fuelled intercontinental ballistic missile. It is powered by a ramjet engine for supersonic flight. Therefore, Statement 2 is incorrect.

Since both statements are incorrect, the correct option is 'Neither 1 nor 2'.