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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 231 · 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 children, 14 enjoy drawing, 15 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  2. 2.In a group of 32 children, 21 like mangoes, 19 like bananas and 9 like both. How many like only mangoes?
  3. 3.In a group of 37 children, 22 play cricket, 8 play football and 2 play both. How many play exactly one of the two?
  4. 4.In a group of 35 children, 15 play cricket, 17 play football and 3 play both. How many play at least one of the two?
  5. 5.In a group of 33 grown-ups, 24 drink tea, 17 drink coffee and 12 drink both. How many drink only tea?
  6. 6.In a group of 41 children, 16 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  7. 7.In a group of 42 grown-ups, 30 drink tea, 20 drink coffee and 10 drink both. How many drink neither of the two?
  8. 8.In a group of 51 children, 30 play cricket, 17 play football and 11 play both. How many play at least one of the two?
  9. 9.In a group of 51 children, 28 like mangoes, 27 like bananas and 12 like both. How many like at least one of the two?
  10. 10.In a group of 37 grown-ups, 19 drink tea, 24 drink coffee and 10 drink both. How many drink at least one of the two?
  11. 11.In a group of 22 children, 16 play cricket, 15 play football and 12 play both. How many play only football?
  12. 12.In a group of 16 children, 10 play cricket, 6 play football and 2 play both. How many play only football?
  13. 13.In a group of 43 grown-ups, 29 drink tea, 15 drink coffee and 12 drink both. How many drink exactly one of the two?
  14. 14.In a group of 33 children, 18 enjoy drawing, 14 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  15. 15.In a group of 39 children, 8 play cricket, 21 play football and 3 play both. How many play only cricket?
  16. 16.In a group of 43 children, 21 like mangoes, 27 like bananas and 11 like both. How many like only bananas?
  17. 17.In a group of 39 children, 20 sing Hindi songs, 19 sing English songs and 11 sing both. How many sing only Hindi songs?
  18. 18.In a group of 23 children, 8 enjoy drawing, 19 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  19. 19.In a group of 36 children, 16 enjoy drawing, 18 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 32 children, 15 sing Hindi songs, 16 sing English songs and 5 sing both. How many sing neither of the two?
  21. 21.In a group of 45 children, 25 enjoy drawing, 12 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 48 children, 26 play cricket, 19 play football and 7 play both. How many play at least one of the two?
  23. 23.In a group of 19 children, 7 sing Hindi songs, 6 sing English songs and 2 sing both. How many sing neither of the two?
  24. 24.In a group of 37 children, 14 enjoy drawing, 28 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  25. 25.In a group of 46 children, 25 sing Hindi songs, 16 sing English songs and 6 sing both. How many sing neither of the two?
  26. 26.In a group of 35 children, 16 enjoy drawing, 15 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  27. 27.In a group of 54 children, 26 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing at least one of the two?
  28. 28.In a group of 36 children, 16 play cricket, 15 play football and 4 play both. How many play exactly one of the two?
  29. 29.In a group of 50 children, 26 play chess, 30 play carrom and 10 play both. How many play only carrom?
  30. 30.In a group of 35 children, 17 play cricket, 13 play football and 7 play both. How many play at least one of the two?
  31. 31.In a group of 20 children, 14 like mangoes, 15 like bananas and 11 like both. How many like only mangoes?
  32. 32.In a group of 37 children, 20 sing Hindi songs, 12 sing English songs and 9 sing both. How many sing only English songs?
  33. 33.In a group of 21 children, 9 like mangoes, 13 like bananas and 6 like both. How many like exactly one of the two?
  34. 34.In a group of 27 children, 11 play cricket, 15 play football and 3 play both. How many play at least one of the two?
  35. 35.In a group of 45 children, 13 play chess, 26 play carrom and 7 play both. How many play only carrom?
  36. 36.In a group of 31 children, 26 like mangoes, 12 like bananas and 9 like both. How many like only mangoes?
  37. 37.In a group of 24 children, 11 like mangoes, 13 like bananas and 7 like both. How many like neither of the two?
  38. 38.In a group of 22 children, 12 sing Hindi songs, 12 sing English songs and 9 sing both. How many sing only English songs?
  39. 39.In a group of 55 children, 30 sing Hindi songs, 29 sing English songs and 10 sing both. How many sing exactly one of the two?
  40. 40.In a group of 55 grown-ups, 26 drink tea, 26 drink coffee and 9 drink both. How many drink only tea?

Answer key

  1. 9
  2. 12
  3. 26
  4. 29
  5. 12
  6. 8
  7. 2
  8. 36
  9. 43
  10. 33
  11. 3
  12. 4
  13. 20
  14. 10
  15. 5
  16. 16
  17. 9
  18. 17
  19. 13
  20. 6
  21. 14
  22. 38
  23. 8
  24. 4
  25. 11
  26. 14
  27. 43
  28. 23
  29. 20
  30. 23
  31. 3
  32. 3
  33. 10
  34. 23
  35. 19
  36. 17
  37. 7
  38. 3
  39. 39
  40. 17

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