Team A won 30% of first 50 games. This means 15 out of 50 games.
"Also A won all remaining games it played"

Statement 1: A won 11 of last 12 games it played. But team had won All games over 50. It is possible that team A played on 55 matches, and it had won 11 of last 12 matches (from 43 to 55), It is also possible that team A played 61 matches and lost first and won rest 11 out of 11 matches between 50-61.
Not sufficient
Statement 2: A won 14 of first 48 games played. Only thing we can deduce is, it won 1 more in next 2 (from question stem). Not sufficient.

together, also example given in statement 1 holds good. Not sufficient.

Ans E it is.

Similar questions to practice:
after-winning-50-percent-of-the-first-30-matches-she-played-129132.html
after-winning-80-percent-of-the-fi-rst-40-games-it-played-129338.html
after-winning-80-of-his-first-40-matches-igby-won-129062.html

Hope it helps.
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