The GATE Grind

GATE 2016 ME (ME3) – Question 6

General Aptitude · Analytical Aptitude: Logical Reasoning and Deduction · 2 marks · Multiple choice

The Venn diagram shows students’ leisure preferences. How many students like reading books or playing sports?

Diagram for GATE 2016 ME (ME3) question 6
  1. 44
  2. 51
  3. 79
  4. 108

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (D) 108

Explanation

The inclusive union contains every region of the book and sports circles, including their intersections with television. Sum13+12+44+7+17+15=108. Thus **108, D**; the19 in the television-only region is excluded. The triple intersection is counted once.