The GATE Grind

GATE 2020 CE (CE2) – Question 9

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 2 marks · Multiple choice

Of 1000 school students, 300 play chess and 600 football; 50 play both. How many play neither?

  1. 200
  2. 150
  3. 100
  4. 50

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Show answer and explanation

Correct answer: (B) 150

Explanation

Inclusion–exclusion gives $300+600-50=850$ playing at least one. Therefore $1000-850=150$ play neither. **B**.