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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 35 · 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 33 grown-ups, 12 drink tea, 12 drink coffee and 3 drink both. How many drink exactly one of the two?
  2. 2.In a group of 28 children, 20 play chess, 16 play carrom and 10 play both. How many play at least one of the two?
  3. 3.In a group of 32 children, 11 like mangoes, 12 like bananas and 4 like both. How many like only bananas?
  4. 4.In a group of 28 grown-ups, 15 drink tea, 18 drink coffee and 7 drink both. How many drink neither of the two?
  5. 5.In a group of 38 children, 19 play chess, 16 play carrom and 3 play both. How many play only chess?
  6. 6.In a group of 44 children, 23 enjoy drawing, 14 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  7. 7.In a group of 25 children, 12 play cricket, 17 play football and 5 play both. How many play only cricket?
  8. 8.In a group of 21 grown-ups, 8 drink tea, 15 drink coffee and 5 drink both. How many drink only coffee?
  9. 9.In a group of 33 children, 12 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  10. 10.In a group of 42 children, 23 play cricket, 23 play football and 11 play both. How many play only football?
  11. 11.In a group of 48 children, 24 sing Hindi songs, 25 sing English songs and 7 sing both. How many sing only Hindi songs?
  12. 12.In a group of 26 children, 18 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  13. 13.In a group of 33 grown-ups, 24 drink tea, 11 drink coffee and 7 drink both. How many drink only coffee?
  14. 14.In a group of 13 children, 5 play cricket, 8 play football and 2 play both. How many play at least one of the two?
  15. 15.In a group of 40 children, 22 enjoy drawing, 21 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  16. 16.In a group of 35 children, 23 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  17. 17.In a group of 21 children, 10 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing only English songs?
  18. 18.In a group of 36 children, 19 sing Hindi songs, 27 sing English songs and 12 sing both. How many sing exactly one of the two?
  19. 19.In a group of 33 children, 10 like mangoes, 25 like bananas and 7 like both. How many like only mangoes?
  20. 20.In a group of 36 children, 21 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  21. 21.In a group of 25 children, 15 play chess, 15 play carrom and 8 play both. How many play exactly one of the two?
  22. 22.In a group of 39 children, 14 enjoy drawing, 12 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  23. 23.In a group of 20 children, 14 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  24. 24.In a group of 48 children, 28 play cricket, 24 play football and 12 play both. How many play neither of the two?
  25. 25.In a group of 49 grown-ups, 27 drink tea, 18 drink coffee and 8 drink both. How many drink neither of the two?
  26. 26.In a group of 45 children, 18 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 57 children, 31 play chess, 23 play carrom and 12 play both. How many play only carrom?
  28. 28.In a group of 38 grown-ups, 15 drink tea, 21 drink coffee and 10 drink both. How many drink at least one of the two?
  29. 29.In a group of 50 children, 26 sing Hindi songs, 26 sing English songs and 11 sing both. How many sing at least one of the two?
  30. 30.In a group of 26 children, 9 like mangoes, 13 like bananas and 6 like both. How many like neither of the two?
  31. 31.In a group of 32 children, 27 sing Hindi songs, 10 sing English songs and 7 sing both. How many sing at least one of the two?
  32. 32.In a group of 53 children, 26 play cricket, 28 play football and 10 play both. How many play only football?
  33. 33.In a group of 17 children, 5 play chess, 5 play carrom and 2 play both. How many play only carrom?
  34. 34.In a group of 34 children, 22 play chess, 12 play carrom and 8 play both. How many play only carrom?
  35. 35.In a group of 36 children, 23 like mangoes, 13 like bananas and 10 like both. How many like exactly one of the two?
  36. 36.In a group of 19 children, 11 like mangoes, 10 like bananas and 4 like both. How many like only bananas?
  37. 37.In a group of 42 children, 24 sing Hindi songs, 17 sing English songs and 4 sing both. How many sing neither of the two?
  38. 38.In a group of 21 children, 8 sing Hindi songs, 9 sing English songs and 3 sing both. How many sing at least one of the two?
  39. 39.In a group of 42 children, 9 play cricket, 24 play football and 4 play both. How many play exactly one of the two?
  40. 40.In a group of 50 children, 26 like mangoes, 21 like bananas and 12 like both. How many like only mangoes?

Answer key

  1. 18
  2. 26
  3. 8
  4. 2
  5. 16
  6. 10
  7. 7
  8. 10
  9. 9
  10. 12
  11. 17
  12. 3
  13. 4
  14. 11
  15. 16
  16. 16
  17. 5
  18. 22
  19. 3
  20. 6
  21. 14
  22. 24
  23. 2
  24. 8
  25. 12
  26. 14
  27. 11
  28. 26
  29. 41
  30. 10
  31. 30
  32. 18
  33. 3
  34. 4
  35. 16
  36. 6
  37. 5
  38. 14
  39. 25
  40. 14

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