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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 156 · 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 31 children, 15 like mangoes, 17 like bananas and 11 like both. How many like at least one of the two?
  2. 2.In a group of 24 children, 14 enjoy drawing, 14 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  3. 3.In a group of 51 children, 31 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 36 children, 14 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 37 children, 9 sing Hindi songs, 18 sing English songs and 5 sing both. How many sing only English songs?
  6. 6.In a group of 21 grown-ups, 8 drink tea, 15 drink coffee and 3 drink both. How many drink at least one of the two?
  7. 7.In a group of 62 grown-ups, 28 drink tea, 29 drink coffee and 9 drink both. How many drink only tea?
  8. 8.In a group of 31 grown-ups, 20 drink tea, 20 drink coffee and 11 drink both. How many drink at least one of the two?
  9. 9.In a group of 29 children, 16 like mangoes, 14 like bananas and 7 like both. How many like at least one of the two?
  10. 10.In a group of 43 children, 22 play cricket, 23 play football and 5 play both. How many play at least one of the two?
  11. 11.In a group of 36 grown-ups, 11 drink tea, 17 drink coffee and 5 drink both. How many drink at least one of the two?
  12. 12.In a group of 40 children, 13 sing Hindi songs, 25 sing English songs and 6 sing both. How many sing at least one of the two?
  13. 13.In a group of 45 children, 25 like mangoes, 24 like bananas and 9 like both. How many like neither of the two?
  14. 14.In a group of 28 children, 19 enjoy drawing, 17 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  15. 15.In a group of 19 children, 7 sing Hindi songs, 8 sing English songs and 2 sing both. How many sing exactly one of the two?
  16. 16.In a group of 56 grown-ups, 27 drink tea, 30 drink coffee and 12 drink both. How many drink exactly one of the two?
  17. 17.In a group of 31 children, 15 like mangoes, 18 like bananas and 5 like both. How many like neither of the two?
  18. 18.In a group of 29 children, 6 play chess, 11 play carrom and 2 play both. How many play exactly one of the two?
  19. 19.In a group of 40 children, 18 sing Hindi songs, 22 sing English songs and 2 sing both. How many sing only Hindi songs?
  20. 20.In a group of 33 children, 15 enjoy drawing, 26 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 24 children, 12 like mangoes, 15 like bananas and 5 like both. How many like only mangoes?
  22. 22.In a group of 40 children, 8 play chess, 21 play carrom and 4 play both. How many play neither of the two?
  23. 23.In a group of 37 children, 25 play chess, 14 play carrom and 6 play both. How many play at least one of the two?
  24. 24.In a group of 28 children, 14 like mangoes, 16 like bananas and 9 like both. How many like only bananas?
  25. 25.In a group of 36 children, 22 sing Hindi songs, 10 sing English songs and 5 sing both. How many sing only Hindi songs?
  26. 26.In a group of 37 children, 17 enjoy drawing, 23 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  27. 27.In a group of 51 grown-ups, 29 drink tea, 25 drink coffee and 11 drink both. How many drink only tea?
  28. 28.In a group of 39 grown-ups, 22 drink tea, 14 drink coffee and 5 drink both. How many drink exactly one of the two?
  29. 29.In a group of 43 children, 28 enjoy drawing, 19 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  30. 30.In a group of 44 children, 19 enjoy drawing, 21 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 28 children, 18 sing Hindi songs, 16 sing English songs and 10 sing both. How many sing neither of the two?
  32. 32.In a group of 29 children, 9 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  33. 33.In a group of 31 children, 14 like mangoes, 16 like bananas and 4 like both. How many like exactly one of the two?
  34. 34.In a group of 39 children, 9 enjoy drawing, 21 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  35. 35.In a group of 38 children, 18 play cricket, 17 play football and 2 play both. How many play at least one of the two?
  36. 36.In a group of 30 children, 16 play chess, 15 play carrom and 2 play both. How many play only chess?
  37. 37.In a group of 30 grown-ups, 23 drink tea, 10 drink coffee and 5 drink both. How many drink only coffee?
  38. 38.In a group of 49 children, 22 like mangoes, 24 like bananas and 10 like both. How many like only mangoes?
  39. 39.In a group of 29 children, 16 sing Hindi songs, 15 sing English songs and 11 sing both. How many sing only English songs?
  40. 40.In a group of 45 children, 20 play cricket, 15 play football and 2 play both. How many play neither of the two?

Answer key

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

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