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MCQ Problem Solving - Overlapping Sets

The CAT Online Free Test Prep MCQs Problem Solving - Overlapping Sets

Problem Solving: Overlapping Sets

Question:

In an summer camp there are a total of 28 students out of which 7 play hockey, 32 students play tennis and 5 students play neither tennis nor hockey. How many student plays both hockey and tennis?
Option A:      7
Option B:      9
Option C:      16
Option D:      21
  A     B     C     D  
Show/Hide Answer and Explanation

Correct Answer: C

Explanation Video

Explanation
overlapping Dup 1 -30439944

(7 - x) + x + (32 - x) + 5 = 28

44 - x = 28

-x = -16

x = 16

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How to Solve Overlapping Sets

For Overlapping Sets question first understand the statement and the question stem. Try to solve and click the corresponding answer option. The drop down will appear to show the correct answer and explanation.