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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 161 · 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 25 children, 10 sing Hindi songs, 12 sing English songs and 5 sing both. How many sing only Hindi songs?
  2. 2.In a group of 24 grown-ups, 14 drink tea, 19 drink coffee and 11 drink both. How many drink only tea?
  3. 3.In a group of 25 children, 10 sing Hindi songs, 16 sing English songs and 6 sing both. How many sing neither of the two?
  4. 4.In a group of 44 children, 29 play cricket, 24 play football and 12 play both. How many play only cricket?
  5. 5.In a group of 42 children, 26 like mangoes, 14 like bananas and 8 like both. How many like at least one of the two?
  6. 6.In a group of 36 children, 13 like mangoes, 20 like bananas and 9 like both. How many like neither of the two?
  7. 7.In a group of 42 children, 23 play chess, 12 play carrom and 3 play both. How many play exactly one of the two?
  8. 8.In a group of 36 grown-ups, 11 drink tea, 21 drink coffee and 4 drink both. How many drink only coffee?
  9. 9.In a group of 39 children, 17 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  10. 10.In a group of 38 grown-ups, 27 drink tea, 19 drink coffee and 11 drink both. How many drink only tea?
  11. 11.In a group of 51 children, 21 like mangoes, 27 like bananas and 10 like both. How many like neither of the two?
  12. 12.In a group of 36 children, 19 enjoy drawing, 11 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  13. 13.In a group of 19 grown-ups, 10 drink tea, 5 drink coffee and 2 drink both. How many drink at least one of the two?
  14. 14.In a group of 38 children, 17 enjoy drawing, 17 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  15. 15.In a group of 25 children, 20 play chess, 9 play carrom and 6 play both. How many play at least one of the two?
  16. 16.In a group of 42 children, 30 sing Hindi songs, 18 sing English songs and 10 sing both. How many sing only English songs?
  17. 17.In a group of 43 children, 20 sing Hindi songs, 20 sing English songs and 3 sing both. How many sing only English songs?
  18. 18.In a group of 49 children, 16 like mangoes, 27 like bananas and 7 like both. How many like at least one of the two?
  19. 19.In a group of 45 children, 17 sing Hindi songs, 17 sing English songs and 4 sing both. How many sing only Hindi songs?
  20. 20.In a group of 52 children, 30 enjoy drawing, 22 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 48 children, 24 like mangoes, 24 like bananas and 5 like both. How many like only mangoes?
  22. 22.In a group of 35 children, 31 enjoy drawing, 14 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 40 children, 20 like mangoes, 22 like bananas and 5 like both. How many like exactly one of the two?
  24. 24.In a group of 34 grown-ups, 23 drink tea, 13 drink coffee and 5 drink both. How many drink exactly one of the two?
  25. 25.In a group of 39 children, 22 play chess, 14 play carrom and 8 play both. How many play only carrom?
  26. 26.In a group of 29 grown-ups, 12 drink tea, 12 drink coffee and 2 drink both. How many drink only coffee?
  27. 27.In a group of 44 children, 16 play cricket, 17 play football and 2 play both. How many play only cricket?
  28. 28.In a group of 46 children, 13 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  29. 29.In a group of 27 children, 21 play cricket, 8 play football and 4 play both. How many play at least one of the two?
  30. 30.In a group of 40 children, 23 like mangoes, 23 like bananas and 10 like both. How many like neither of the two?
  31. 31.In a group of 39 children, 23 like mangoes, 23 like bananas and 11 like both. How many like only bananas?
  32. 32.In a group of 35 children, 22 sing Hindi songs, 23 sing English songs and 11 sing both. How many sing exactly one of the two?
  33. 33.In a group of 33 children, 10 play cricket, 13 play football and 4 play both. How many play only football?
  34. 34.In a group of 29 grown-ups, 24 drink tea, 9 drink coffee and 5 drink both. How many drink at least one of the two?
  35. 35.In a group of 26 children, 8 sing Hindi songs, 9 sing English songs and 3 sing both. How many sing neither of the two?
  36. 36.In a group of 31 children, 14 play cricket, 15 play football and 9 play both. How many play only football?
  37. 37.In a group of 31 children, 21 enjoy drawing, 13 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  38. 38.In a group of 43 grown-ups, 19 drink tea, 27 drink coffee and 11 drink both. How many drink exactly one of the two?
  39. 39.In a group of 34 children, 29 enjoy drawing, 12 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  40. 40.In a group of 36 children, 23 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy only drawing?

Answer key

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

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