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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 368 · 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 43 children, 18 play cricket, 18 play football and 7 play both. How many play neither of the two?
  2. 2.In a group of 34 children, 24 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing exactly one of the two?
  3. 3.In a group of 39 children, 21 play chess, 15 play carrom and 2 play both. How many play neither of the two?
  4. 4.In a group of 26 children, 13 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  5. 5.In a group of 43 children, 30 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  6. 6.In a group of 45 children, 22 sing Hindi songs, 23 sing English songs and 11 sing both. How many sing neither of the two?
  7. 7.In a group of 26 children, 22 sing Hindi songs, 5 sing English songs and 2 sing both. How many sing only Hindi songs?
  8. 8.In a group of 29 children, 19 like mangoes, 17 like bananas and 12 like both. How many like only mangoes?
  9. 9.In a group of 34 children, 15 enjoy drawing, 15 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  10. 10.In a group of 36 grown-ups, 13 drink tea, 21 drink coffee and 4 drink both. How many drink neither of the two?
  11. 11.In a group of 46 children, 24 enjoy drawing, 20 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  12. 12.In a group of 26 children, 19 play chess, 10 play carrom and 7 play both. How many play neither of the two?
  13. 13.In a group of 29 children, 10 play chess, 20 play carrom and 7 play both. How many play at least one of the two?
  14. 14.In a group of 36 grown-ups, 27 drink tea, 15 drink coffee and 8 drink both. How many drink only coffee?
  15. 15.In a group of 31 children, 25 like mangoes, 14 like bananas and 10 like both. How many like neither of the two?
  16. 16.In a group of 30 children, 23 play cricket, 9 play football and 4 play both. How many play neither of the two?
  17. 17.In a group of 44 children, 29 enjoy drawing, 14 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  18. 18.In a group of 43 children, 24 like mangoes, 17 like bananas and 6 like both. How many like neither of the two?
  19. 19.In a group of 31 children, 13 play cricket, 20 play football and 10 play both. How many play only football?
  20. 20.In a group of 45 grown-ups, 26 drink tea, 20 drink coffee and 9 drink both. How many drink only tea?
  21. 21.In a group of 42 children, 25 enjoy drawing, 19 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  22. 22.In a group of 56 grown-ups, 28 drink tea, 30 drink coffee and 10 drink both. How many drink only tea?
  23. 23.In a group of 35 children, 18 like mangoes, 11 like bananas and 5 like both. How many like exactly one of the two?
  24. 24.In a group of 34 grown-ups, 5 drink tea, 21 drink coffee and 2 drink both. How many drink only coffee?
  25. 25.In a group of 40 children, 18 sing Hindi songs, 20 sing English songs and 5 sing both. How many sing only English songs?
  26. 26.In a group of 39 children, 20 sing Hindi songs, 23 sing English songs and 7 sing both. How many sing only Hindi songs?
  27. 27.In a group of 25 children, 20 play chess, 14 play carrom and 10 play both. How many play only chess?
  28. 28.In a group of 32 grown-ups, 16 drink tea, 16 drink coffee and 6 drink both. How many drink only coffee?
  29. 29.In a group of 47 children, 27 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  30. 30.In a group of 33 children, 17 enjoy drawing, 21 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 39 children, 14 play chess, 20 play carrom and 4 play both. How many play at least one of the two?
  32. 32.In a group of 21 children, 14 enjoy drawing, 9 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 39 children, 21 play chess, 18 play carrom and 5 play both. How many play only carrom?
  34. 34.In a group of 42 children, 23 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  35. 35.In a group of 26 children, 8 play chess, 15 play carrom and 2 play both. How many play neither of the two?
  36. 36.In a group of 24 grown-ups, 17 drink tea, 12 drink coffee and 7 drink both. How many drink at least one of the two?
  37. 37.In a group of 41 children, 27 enjoy drawing, 14 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  38. 38.In a group of 38 children, 13 enjoy drawing, 28 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  39. 39.In a group of 24 children, 13 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  40. 40.In a group of 33 children, 16 like mangoes, 13 like bananas and 9 like both. How many like exactly one of the two?

Answer key

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

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