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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 486 · 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 26 children, 11 like mangoes, 6 like bananas and 2 like both. How many like at least one of the two?
  2. 2.In a group of 31 children, 20 enjoy drawing, 15 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 29 children, 15 play chess, 10 play carrom and 4 play both. How many play only carrom?
  4. 4.In a group of 25 children, 16 play chess, 10 play carrom and 2 play both. How many play only carrom?
  5. 5.In a group of 41 grown-ups, 20 drink tea, 17 drink coffee and 2 drink both. How many drink only coffee?
  6. 6.In a group of 40 children, 13 play cricket, 22 play football and 3 play both. How many play exactly one of the two?
  7. 7.In a group of 43 children, 12 like mangoes, 19 like bananas and 3 like both. How many like neither of the two?
  8. 8.In a group of 13 children, 9 like mangoes, 5 like bananas and 2 like both. How many like at least one of the two?
  9. 9.In a group of 31 children, 17 enjoy drawing, 13 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 43 children, 22 like mangoes, 21 like bananas and 3 like both. How many like at least one of the two?
  11. 11.In a group of 24 children, 15 play chess, 12 play carrom and 5 play both. How many play neither of the two?
  12. 12.In a group of 64 children, 32 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  13. 13.In a group of 23 children, 8 like mangoes, 6 like bananas and 3 like both. How many like at least one of the two?
  14. 14.In a group of 19 children, 8 play chess, 15 play carrom and 5 play both. How many play exactly one of the two?
  15. 15.In a group of 36 children, 19 like mangoes, 23 like bananas and 8 like both. How many like only bananas?
  16. 16.In a group of 27 grown-ups, 13 drink tea, 19 drink coffee and 6 drink both. How many drink at least one of the two?
  17. 17.In a group of 44 children, 29 sing Hindi songs, 16 sing English songs and 12 sing both. How many sing only English songs?
  18. 18.In a group of 37 children, 15 play cricket, 17 play football and 6 play both. How many play only football?
  19. 19.In a group of 36 grown-ups, 19 drink tea, 15 drink coffee and 8 drink both. How many drink at least one of the two?
  20. 20.In a group of 36 children, 15 sing Hindi songs, 26 sing English songs and 12 sing both. How many sing only Hindi songs?
  21. 21.In a group of 38 children, 17 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing neither of the two?
  22. 22.In a group of 41 children, 32 play cricket, 16 play football and 12 play both. How many play only football?
  23. 23.In a group of 30 children, 14 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  24. 24.In a group of 39 children, 19 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  25. 25.In a group of 41 children, 23 sing Hindi songs, 16 sing English songs and 12 sing both. How many sing only Hindi songs?
  26. 26.In a group of 43 children, 26 like mangoes, 12 like bananas and 7 like both. How many like only bananas?
  27. 27.In a group of 40 children, 20 sing Hindi songs, 18 sing English songs and 8 sing both. How many sing exactly one of the two?
  28. 28.In a group of 31 children, 14 enjoy drawing, 19 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  29. 29.In a group of 46 grown-ups, 25 drink tea, 20 drink coffee and 6 drink both. How many drink neither of the two?
  30. 30.In a group of 26 children, 6 sing Hindi songs, 14 sing English songs and 3 sing both. How many sing at least one of the two?
  31. 31.In a group of 44 children, 12 play cricket, 24 play football and 5 play both. How many play neither of the two?
  32. 32.In a group of 45 grown-ups, 30 drink tea, 17 drink coffee and 12 drink both. How many drink neither of the two?
  33. 33.In a group of 35 children, 16 play cricket, 8 play football and 2 play both. How many play at least one of the two?
  34. 34.In a group of 36 children, 28 play cricket, 12 play football and 8 play both. How many play neither of the two?
  35. 35.In a group of 34 children, 12 like mangoes, 20 like bananas and 9 like both. How many like only mangoes?
  36. 36.In a group of 39 children, 22 play cricket, 19 play football and 5 play both. How many play neither of the two?
  37. 37.In a group of 38 children, 23 enjoy drawing, 16 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  38. 38.In a group of 45 children, 25 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  39. 39.In a group of 31 children, 8 enjoy drawing, 23 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 15 children, 7 sing Hindi songs, 7 sing English songs and 2 sing both. How many sing neither of the two?

Answer key

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

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