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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 53 · 40 questions
TalentJR

How to think it through (Middle first): Put “both” in the overlap. Only A = A − both; only B = B − both; at least one = A + B − both. Neither = total − at least one; exactly one = only A + only B.

NameDateTime takenScore ___ / 40
  1. 1.In a group of 25 children, 15 play cricket, 14 play football and 9 play both. How many play neither of the two?
  2. 2.In a group of 38 children, 25 play chess, 19 play carrom and 12 play both. How many play only carrom?
  3. 3.In a group of 26 children, 6 like mangoes, 19 like bananas and 3 like both. How many like neither of the two?
  4. 4.In a group of 41 grown-ups, 27 drink tea, 23 drink coffee and 10 drink both. How many drink only tea?
  5. 5.In a group of 25 children, 12 play chess, 18 play carrom and 8 play both. How many play neither of the two?
  6. 6.In a group of 37 children, 17 play chess, 27 play carrom and 11 play both. How many play only chess?
  7. 7.In a group of 41 children, 12 sing Hindi songs, 23 sing English songs and 7 sing both. How many sing at least one of the two?
  8. 8.In a group of 29 children, 13 like mangoes, 18 like bananas and 9 like both. How many like neither of the two?
  9. 9.In a group of 24 children, 12 enjoy drawing, 10 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 36 grown-ups, 19 drink tea, 16 drink coffee and 2 drink both. How many drink exactly one of the two?
  11. 11.In a group of 34 children, 13 play cricket, 22 play football and 10 play both. How many play only football?
  12. 12.In a group of 35 children, 14 play chess, 27 play carrom and 11 play both. How many play at least one of the two?
  13. 13.In a group of 52 children, 24 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  14. 14.In a group of 48 children, 16 like mangoes, 22 like bananas and 3 like both. How many like only bananas?
  15. 15.In a group of 51 children, 26 sing Hindi songs, 22 sing English songs and 6 sing both. How many sing neither of the two?
  16. 16.In a group of 22 children, 16 play chess, 15 play carrom and 12 play both. How many play at least one of the two?
  17. 17.In a group of 43 children, 23 play cricket, 14 play football and 3 play both. How many play exactly one of the two?
  18. 18.In a group of 40 children, 12 enjoy drawing, 23 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  19. 19.In a group of 37 grown-ups, 17 drink tea, 7 drink coffee and 2 drink both. How many drink at least one of the two?
  20. 20.In a group of 40 children, 16 play cricket, 22 play football and 12 play both. How many play exactly one of the two?
  21. 21.In a group of 21 children, 11 like mangoes, 8 like bananas and 3 like both. How many like only bananas?
  22. 22.In a group of 49 children, 27 sing Hindi songs, 31 sing English songs and 11 sing both. How many sing only Hindi songs?
  23. 23.In a group of 44 children, 27 enjoy drawing, 28 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  24. 24.In a group of 45 children, 20 play chess, 26 play carrom and 9 play both. How many play exactly one of the two?
  25. 25.In a group of 46 children, 20 like mangoes, 29 like bananas and 9 like both. How many like only mangoes?
  26. 26.In a group of 48 children, 24 sing Hindi songs, 24 sing English songs and 8 sing both. How many sing only Hindi songs?
  27. 27.In a group of 34 grown-ups, 20 drink tea, 19 drink coffee and 8 drink both. How many drink exactly one of the two?
  28. 28.In a group of 36 children, 21 sing Hindi songs, 6 sing English songs and 3 sing both. How many sing neither of the two?
  29. 29.In a group of 18 children, 11 like mangoes, 9 like bananas and 4 like both. How many like only bananas?
  30. 30.In a group of 38 children, 15 play chess, 22 play carrom and 10 play both. How many play neither of the two?
  31. 31.In a group of 34 children, 28 play chess, 13 play carrom and 10 play both. How many play at least one of the two?
  32. 32.In a group of 28 children, 16 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  33. 33.In a group of 57 children, 25 play cricket, 24 play football and 5 play both. How many play neither of the two?
  34. 34.In a group of 34 grown-ups, 16 drink tea, 9 drink coffee and 3 drink both. How many drink only coffee?
  35. 35.In a group of 41 children, 17 play cricket, 23 play football and 3 play both. How many play exactly one of the two?
  36. 36.In a group of 34 children, 16 enjoy drawing, 23 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 47 grown-ups, 21 drink tea, 17 drink coffee and 5 drink both. How many drink only coffee?
  38. 38.In a group of 41 children, 26 play cricket, 25 play football and 12 play both. How many play exactly one of the two?
  39. 39.In a group of 23 children, 10 play chess, 14 play carrom and 7 play both. How many play only carrom?
  40. 40.In a group of 34 children, 18 sing Hindi songs, 27 sing English songs and 12 sing both. How many sing exactly one of the two?

Answer key

  1. 5
  2. 7
  3. 4
  4. 17
  5. 3
  6. 6
  7. 28
  8. 7
  9. 7
  10. 31
  11. 12
  12. 30
  13. 19
  14. 19
  15. 9
  16. 19
  17. 31
  18. 3
  19. 22
  20. 14
  21. 5
  22. 16
  23. 16
  24. 28
  25. 11
  26. 16
  27. 23
  28. 12
  29. 5
  30. 11
  31. 31
  32. 9
  33. 13
  34. 6
  35. 34
  36. 5
  37. 12
  38. 27
  39. 7
  40. 21

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