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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 140 · 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 41 children, 22 like mangoes, 15 like bananas and 3 like both. How many like only mangoes?
  2. 2.In a group of 34 children, 13 sing Hindi songs, 13 sing English songs and 7 sing both. How many sing neither of the two?
  3. 3.In a group of 45 children, 11 enjoy drawing, 22 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  4. 4.In a group of 24 children, 17 play cricket, 5 play football and 2 play both. How many play exactly one of the two?
  5. 5.In a group of 34 children, 19 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  6. 6.In a group of 34 children, 14 play cricket, 14 play football and 4 play both. How many play at least one of the two?
  7. 7.In a group of 50 children, 24 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 33 grown-ups, 15 drink tea, 16 drink coffee and 11 drink both. How many drink only tea?
  9. 9.In a group of 47 children, 22 sing Hindi songs, 15 sing English songs and 2 sing both. How many sing at least one of the two?
  10. 10.In a group of 26 children, 15 play chess, 13 play carrom and 8 play both. How many play neither of the two?
  11. 11.In a group of 50 children, 27 enjoy drawing, 15 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  12. 12.In a group of 37 children, 26 play cricket, 13 play football and 9 play both. How many play at least one of the two?
  13. 13.In a group of 38 children, 28 play chess, 18 play carrom and 9 play both. How many play only chess?
  14. 14.In a group of 35 grown-ups, 15 drink tea, 22 drink coffee and 4 drink both. How many drink only tea?
  15. 15.In a group of 19 grown-ups, 7 drink tea, 6 drink coffee and 3 drink both. How many drink at least one of the two?
  16. 16.In a group of 33 children, 17 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  17. 17.In a group of 28 children, 19 play chess, 11 play carrom and 5 play both. How many play only carrom?
  18. 18.In a group of 47 grown-ups, 27 drink tea, 16 drink coffee and 9 drink both. How many drink only coffee?
  19. 19.In a group of 22 grown-ups, 14 drink tea, 10 drink coffee and 4 drink both. How many drink exactly one of the two?
  20. 20.In a group of 31 children, 17 enjoy drawing, 10 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  21. 21.In a group of 31 children, 9 play chess, 19 play carrom and 5 play both. How many play neither of the two?
  22. 22.In a group of 35 children, 18 like mangoes, 13 like bananas and 7 like both. How many like neither of the two?
  23. 23.In a group of 53 children, 24 sing Hindi songs, 30 sing English songs and 11 sing both. How many sing exactly one of the two?
  24. 24.In a group of 30 children, 17 like mangoes, 19 like bananas and 10 like both. How many like at least one of the two?
  25. 25.In a group of 31 grown-ups, 19 drink tea, 12 drink coffee and 5 drink both. How many drink at least one of the two?
  26. 26.In a group of 32 children, 15 enjoy drawing, 20 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 44 grown-ups, 22 drink tea, 26 drink coffee and 9 drink both. How many drink only tea?
  28. 28.In a group of 39 children, 10 sing Hindi songs, 22 sing English songs and 6 sing both. How many sing exactly one of the two?
  29. 29.In a group of 34 grown-ups, 12 drink tea, 12 drink coffee and 2 drink both. How many drink neither of the two?
  30. 30.In a group of 45 grown-ups, 26 drink tea, 15 drink coffee and 8 drink both. How many drink at least one of the two?
  31. 31.In a group of 24 children, 9 play cricket, 6 play football and 3 play both. How many play only cricket?
  32. 32.In a group of 22 children, 11 like mangoes, 12 like bananas and 8 like both. How many like neither of the two?
  33. 33.In a group of 27 children, 17 like mangoes, 15 like bananas and 8 like both. How many like at least one of the two?
  34. 34.In a group of 36 children, 17 play cricket, 19 play football and 10 play both. How many play neither of the two?
  35. 35.In a group of 35 children, 15 enjoy drawing, 23 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 39 children, 11 play chess, 23 play carrom and 4 play both. How many play only carrom?
  37. 37.In a group of 29 children, 15 like mangoes, 16 like bananas and 5 like both. How many like neither of the two?
  38. 38.In a group of 19 children, 9 enjoy drawing, 12 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  39. 39.In a group of 50 children, 28 play chess, 31 play carrom and 11 play both. How many play at least one of the two?
  40. 40.In a group of 46 children, 29 sing Hindi songs, 24 sing English songs and 12 sing both. How many sing only English songs?

Answer key

  1. 19
  2. 15
  3. 19
  4. 18
  5. 15
  6. 24
  7. 40
  8. 4
  9. 35
  10. 6
  11. 28
  12. 30
  13. 19
  14. 11
  15. 10
  16. 32
  17. 6
  18. 7
  19. 16
  20. 15
  21. 8
  22. 11
  23. 32
  24. 26
  25. 26
  26. 10
  27. 13
  28. 20
  29. 12
  30. 33
  31. 6
  32. 7
  33. 24
  34. 10
  35. 34
  36. 19
  37. 3
  38. 4
  39. 48
  40. 12

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