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GATE CSE 2019 | Question: GA-9

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In a college, there are three student clubs, $60$ students are only in the Drama club, $80$ students are only in the Dance club, $30$ students are only in Maths club, $40$ students are in both Drama and Dance clubs, $12$ students are in both Dance and Maths clubs, $7$ students are in both Drama and Maths clubs, and $2$ students are in all clubs. If $75 \%$ of the students in the college are not in any of these clubs, then the total number of students in the college is _____.

  1. $1000$
  2. $975$
  3. $900$
  4. $225$
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60 + (40-2) + 80 + (7-2) + 30 + (12-2) + 2 = 225 present in the clubs.
75 % are not in any of the clubs i.e. 25% are in clubs.
Therefore ,  x/4 = 225 => x =900
Ans is C
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