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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 293 · 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 37 children, 21 like mangoes, 25 like bananas and 12 like both. How many like neither of the two?
  2. 2.In a group of 27 children, 17 enjoy drawing, 17 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  3. 3.In a group of 43 children, 17 like mangoes, 30 like bananas and 12 like both. How many like only bananas?
  4. 4.In a group of 38 children, 17 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing only Hindi songs?
  5. 5.In a group of 30 children, 17 like mangoes, 10 like bananas and 6 like both. How many like neither of the two?
  6. 6.In a group of 40 grown-ups, 22 drink tea, 18 drink coffee and 10 drink both. How many drink at least one of the two?
  7. 7.In a group of 44 children, 17 enjoy drawing, 29 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  8. 8.In a group of 37 children, 20 sing Hindi songs, 20 sing English songs and 4 sing both. How many sing exactly one of the two?
  9. 9.In a group of 35 children, 18 enjoy drawing, 20 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  10. 10.In a group of 61 children, 29 enjoy drawing, 28 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 40 children, 26 sing Hindi songs, 16 sing English songs and 9 sing both. How many sing at least one of the two?
  12. 12.In a group of 23 children, 17 enjoy drawing, 14 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 33 children, 19 like mangoes, 22 like bananas and 11 like both. How many like only bananas?
  14. 14.In a group of 32 grown-ups, 15 drink tea, 18 drink coffee and 4 drink both. How many drink only coffee?
  15. 15.In a group of 32 children, 25 play cricket, 12 play football and 8 play both. How many play only cricket?
  16. 16.In a group of 44 children, 23 play cricket, 22 play football and 11 play both. How many play only cricket?
  17. 17.In a group of 26 children, 10 sing Hindi songs, 21 sing English songs and 7 sing both. How many sing at least one of the two?
  18. 18.In a group of 42 children, 19 play cricket, 18 play football and 9 play both. How many play only cricket?
  19. 19.In a group of 46 children, 21 play chess, 26 play carrom and 10 play both. How many play only chess?
  20. 20.In a group of 34 children, 15 play chess, 22 play carrom and 5 play both. How many play only carrom?
  21. 21.In a group of 39 children, 23 play chess, 21 play carrom and 12 play both. How many play at least one of the two?
  22. 22.In a group of 34 children, 17 like mangoes, 25 like bananas and 9 like both. How many like only bananas?
  23. 23.In a group of 44 children, 25 sing Hindi songs, 14 sing English songs and 10 sing both. How many sing exactly one of the two?
  24. 24.In a group of 21 children, 11 play cricket, 9 play football and 2 play both. How many play exactly one of the two?
  25. 25.In a group of 48 children, 25 enjoy drawing, 25 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  26. 26.In a group of 36 children, 15 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  27. 27.In a group of 43 children, 20 play cricket, 13 play football and 5 play both. How many play only football?
  28. 28.In a group of 32 children, 16 enjoy drawing, 16 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 47 grown-ups, 25 drink tea, 18 drink coffee and 7 drink both. How many drink only coffee?
  30. 30.In a group of 31 children, 15 like mangoes, 14 like bananas and 2 like both. How many like exactly one of the two?
  31. 31.In a group of 51 children, 26 play cricket, 18 play football and 7 play both. How many play neither of the two?
  32. 32.In a group of 32 grown-ups, 15 drink tea, 12 drink coffee and 4 drink both. How many drink only tea?
  33. 33.In a group of 35 children, 24 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing exactly one of the two?
  34. 34.In a group of 40 children, 14 play chess, 17 play carrom and 4 play both. How many play only chess?
  35. 35.In a group of 34 grown-ups, 10 drink tea, 15 drink coffee and 4 drink both. How many drink only tea?
  36. 36.In a group of 39 children, 18 like mangoes, 14 like bananas and 6 like both. How many like only bananas?
  37. 37.In a group of 35 children, 20 sing Hindi songs, 6 sing English songs and 2 sing both. How many sing only Hindi songs?
  38. 38.In a group of 32 children, 18 enjoy drawing, 20 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  39. 39.In a group of 20 children, 11 play chess, 14 play carrom and 8 play both. How many play only chess?
  40. 40.In a group of 46 children, 22 play chess, 17 play carrom and 3 play both. How many play exactly one of the two?

Answer key

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

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