"The correct answer is 'Option 1' i.e. 'Insignificant'. Key Points The word 'Relevant' typically means closely connected or appropriate to what is being done or considered. (संबंधित). Example: What are the relevant factors that we need to take into consideration? The antonym 'Insignificant' refers to something that is too small or unimportant to be worth consideration.(तुच्छ). Example: In the grand scheme of things, our problems are rather insignificant. Therefore, the correct answer is 'Insignificant'. Additional Information 'Ignorant' as per Option 2 means lacking knowledge or awareness in general; uneducated or unsophisticated. (अज्ञानी) 'Compact' as per Option 3 typically refers to an object or a person (used as an adjective) having all the necessary components or features neatly fitted into a small space.(संक्षिप्त) 'Applicable' as per Option 4 suggests that something applying or relevant to a particular situation.(लागू होनेवाला)"

The words relevant and pertinent are members of a group of words that—according to Webster's Dictionary of Synonyms (1942)—also includes germane, material, apposite, applicable, and apropos of. That dictionary distinguishes between the two words you're interested in as follows:

That is relevant which has any traceable connection, especially logical connection, with the thing under consideration and which has significance in any degree for those who are engaged in such consideration [examples omitted]. ... That is pertinent which is so decisively or significantly relevant that it touches the real point at issue or contributes materially to the understanding of what is under discussion or to the solution of that which is in question. [Examples omitted.]

I was surprised at the claim that pertinent indicates a stronger degree of relevance than the unadorned word relevant does, since I have always imagined that the two words were used for the most part interchangeably, though perhaps with pertinent more closely bound to "questions," and relevant to "issues." But when I checked the synonym discussion under relevant in Merriam-Webster's Eleventh Collegiate Dictionary (2003), I found that the same distinctions that MW made in 1942 were on offer (albeit in shortened form) sixty years later:

RELEVANT implies a traceable, significant, logical connection {found material relevant to her case}. ... PERTINENT stresses a clear and decisive relevance {a pertinent observation}.

So that's the steadfast view of Merriam-Webster. I remain skeptical about the level of real-world adherence to these distinctions in popular usage today.