The given passage is a bio-sketch of Sachin Tendulkar and it is important to keep in mind that the information given are facts.
Since the sentence is referring to the day on which he was born, something that happened in the past and finished in the past, the correct tense to be used is simple present. Hence the option A, 'was born', is the correct answer.
Option B is incorrect as it would be factually and logically incorrect to say that Sachin Tendulkar is born on 24th April 1973, because the event did not happen in the present.
'Has been' is in the present perfect tense, which is used when we want to talk about something that started in the past but is still going on right now in the present. Since the birth of Sachin Tendulkar is not continuing in the present, option C is incorrect as well.
Option D is incorrect because if used, it would make the sentence incomplete and hanging without giving it complete meaning.