Step 1: Define the term first.
In psychological warfare the main weapon is the message. Radio, press, films and rumours are used to shape the beliefs and the morale of the other side.
Step 2: Ask which war had no direct battle.
Among the four, only one is called a war without direct combat between the main powers. That is the Cold War, from the late 1940s to 1991.
Step 3: Reject the battle based choices.
Kargil and Gulf War I were fought with weapons. Guerilla war is a type of armed tactic. None of these three is mainly a war of ideas and messages.
Step 4: Select.
Option 1 is the only fit.
Extra check: Why the other options fail.
A quick way to remember: the word psychological points to the mind. A war of the mind needs no guns on both sides, only messages, threats and images. The Cold War fits because both blocs used radio, films, press and spy stories to win over the world. Kargil, guerilla war and Gulf War I all involved direct fighting, so they do not fit this label.
Final Answer:
The Cold War was a psychological warfare, which is option 1.
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