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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 435 · 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, 14 like mangoes, 11 like bananas and 8 like both. How many like only bananas?
  2. 2.In a group of 22 children, 6 enjoy drawing, 7 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  3. 3.In a group of 37 grown-ups, 20 drink tea, 19 drink coffee and 4 drink both. How many drink neither of the two?
  4. 4.In a group of 44 children, 24 enjoy drawing, 23 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  5. 5.In a group of 41 children, 15 play cricket, 23 play football and 8 play both. How many play neither of the two?
  6. 6.In a group of 36 children, 23 play cricket, 15 play football and 6 play both. How many play only football?
  7. 7.In a group of 50 children, 16 play chess, 26 play carrom and 7 play both. How many play only carrom?
  8. 8.In a group of 29 grown-ups, 10 drink tea, 13 drink coffee and 5 drink both. How many drink neither of the two?
  9. 9.In a group of 41 grown-ups, 14 drink tea, 24 drink coffee and 11 drink both. How many drink neither of the two?
  10. 10.In a group of 28 children, 12 like mangoes, 23 like bananas and 8 like both. How many like only mangoes?
  11. 11.In a group of 25 children, 16 sing Hindi songs, 13 sing English songs and 9 sing both. How many sing only English songs?
  12. 12.In a group of 48 children, 28 play cricket, 18 play football and 11 play both. How many play neither of the two?
  13. 13.In a group of 49 children, 20 play cricket, 26 play football and 12 play both. How many play only football?
  14. 14.In a group of 35 children, 13 play chess, 19 play carrom and 10 play both. How many play only chess?
  15. 15.In a group of 37 grown-ups, 21 drink tea, 25 drink coffee and 12 drink both. How many drink neither of the two?
  16. 16.In a group of 46 children, 23 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  17. 17.In a group of 28 children, 10 like mangoes, 8 like bananas and 2 like both. How many like only bananas?
  18. 18.In a group of 39 children, 13 play cricket, 23 play football and 8 play both. How many play only cricket?
  19. 19.In a group of 36 children, 16 like mangoes, 20 like bananas and 7 like both. How many like only mangoes?
  20. 20.In a group of 33 grown-ups, 9 drink tea, 11 drink coffee and 2 drink both. How many drink at least one of the two?
  21. 21.In a group of 31 grown-ups, 14 drink tea, 13 drink coffee and 3 drink both. How many drink neither of the two?
  22. 22.In a group of 23 children, 10 enjoy drawing, 11 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 30 children, 18 like mangoes, 7 like bananas and 4 like both. How many like exactly one of the two?
  24. 24.In a group of 41 children, 23 sing Hindi songs, 22 sing English songs and 10 sing both. How many sing only English songs?
  25. 25.In a group of 25 children, 18 play chess, 13 play carrom and 9 play both. How many play exactly one of the two?
  26. 26.In a group of 16 children, 9 like mangoes, 8 like bananas and 3 like both. How many like exactly one of the two?
  27. 27.In a group of 47 children, 25 sing Hindi songs, 17 sing English songs and 6 sing both. How many sing exactly one of the two?
  28. 28.In a group of 50 children, 16 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 23 children, 14 like mangoes, 11 like bananas and 6 like both. How many like only mangoes?
  30. 30.In a group of 30 children, 16 like mangoes, 15 like bananas and 4 like both. How many like at least one of the two?
  31. 31.In a group of 53 grown-ups, 25 drink tea, 18 drink coffee and 5 drink both. How many drink neither of the two?
  32. 32.In a group of 37 grown-ups, 16 drink tea, 25 drink coffee and 9 drink both. How many drink neither of the two?
  33. 33.In a group of 24 children, 7 sing Hindi songs, 11 sing English songs and 2 sing both. How many sing only Hindi songs?
  34. 34.In a group of 31 children, 24 play cricket, 14 play football and 9 play both. How many play only football?
  35. 35.In a group of 22 children, 10 play cricket, 13 play football and 4 play both. How many play only cricket?
  36. 36.In a group of 41 children, 13 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  37. 37.In a group of 29 children, 13 play cricket, 20 play football and 7 play both. How many play at least one of the two?
  38. 38.In a group of 30 children, 19 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 23 children, 14 play chess, 12 play carrom and 8 play both. How many play only chess?
  40. 40.In a group of 33 children, 14 sing Hindi songs, 17 sing English songs and 11 sing both. How many sing neither of the two?

Answer key

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

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