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General Aptitude
Quantitative Aptitude
GATE 2016
Hard

The Venn diagram shows the preference of the student population for leisure activities: Read books only=13, Read books & Watch TV only=12, Watch TV only=19, Read books & Play sports only=44, all three (Read books & Watch TV & Play sports)=7, Watch TV & Play sports only=17, Play sports only=15.

From the data given, the number of students who like to read books or play sports is _____.

  • A44
  • B51
  • C79
  • 108

Explanation

'Read books OR Play sports' is the union of the Read-books circle and the Play-sports circle, which includes every region except the 'Watch TV only' region: 13 (Read only) + 12 (Read & TV only) + 44 (Read & Sports only) + 7 (all three) + 17 (TV & Sports only) + 15 (Sports only) = 108.

Source: GATE ME 2016 Set-3 (2016)

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