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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 86 · 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 29 children, 9 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  2. 2.In a group of 34 children, 16 play cricket, 9 play football and 2 play both. How many play only cricket?
  3. 3.In a group of 49 children, 20 enjoy drawing, 26 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  4. 4.In a group of 39 children, 11 play chess, 25 play carrom and 5 play both. How many play only carrom?
  5. 5.In a group of 35 children, 16 sing Hindi songs, 27 sing English songs and 12 sing both. How many sing exactly one of the two?
  6. 6.In a group of 53 children, 27 enjoy drawing, 23 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  7. 7.In a group of 36 children, 18 enjoy drawing, 19 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  8. 8.In a group of 29 children, 19 enjoy drawing, 11 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 53 children, 28 enjoy drawing, 22 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 24 children, 12 play cricket, 10 play football and 2 play both. How many play only cricket?
  11. 11.In a group of 33 children, 21 sing Hindi songs, 14 sing English songs and 9 sing both. How many sing only Hindi songs?
  12. 12.In a group of 46 children, 19 enjoy drawing, 27 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  13. 13.In a group of 47 children, 28 enjoy drawing, 18 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  14. 14.In a group of 45 children, 21 like mangoes, 18 like bananas and 9 like both. How many like only mangoes?
  15. 15.In a group of 18 children, 11 sing Hindi songs, 12 sing English songs and 8 sing both. How many sing at least one of the two?
  16. 16.In a group of 36 grown-ups, 20 drink tea, 14 drink coffee and 10 drink both. How many drink exactly one of the two?
  17. 17.In a group of 34 children, 14 play chess, 20 play carrom and 9 play both. How many play only carrom?
  18. 18.In a group of 40 children, 26 like mangoes, 13 like bananas and 8 like both. How many like neither of the two?
  19. 19.In a group of 42 children, 20 like mangoes, 16 like bananas and 8 like both. How many like exactly one of the two?
  20. 20.In a group of 41 children, 25 like mangoes, 22 like bananas and 8 like both. How many like exactly one of the two?
  21. 21.In a group of 39 children, 13 enjoy drawing, 18 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 47 children, 19 play cricket, 19 play football and 3 play both. How many play at least one of the two?
  23. 23.In a group of 29 children, 8 play cricket, 11 play football and 4 play both. How many play only football?
  24. 24.In a group of 47 children, 24 play cricket, 20 play football and 7 play both. How many play exactly one of the two?
  25. 25.In a group of 34 children, 25 play cricket, 11 play football and 6 play both. How many play neither of the two?
  26. 26.In a group of 38 grown-ups, 20 drink tea, 27 drink coffee and 10 drink both. How many drink neither of the two?
  27. 27.In a group of 36 children, 10 play chess, 24 play carrom and 7 play both. How many play exactly one of the two?
  28. 28.In a group of 33 children, 10 play cricket, 15 play football and 6 play both. How many play at least one of the two?
  29. 29.In a group of 27 children, 9 enjoy drawing, 14 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 36 children, 19 play chess, 19 play carrom and 6 play both. How many play only chess?
  31. 31.In a group of 25 children, 18 like mangoes, 12 like bananas and 6 like both. How many like neither of the two?
  32. 32.In a group of 37 children, 18 play chess, 14 play carrom and 8 play both. How many play only carrom?
  33. 33.In a group of 51 children, 25 enjoy drawing, 32 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 17 children, 6 play chess, 10 play carrom and 2 play both. How many play only chess?
  35. 35.In a group of 25 grown-ups, 15 drink tea, 20 drink coffee and 12 drink both. How many drink only tea?
  36. 36.In a group of 43 grown-ups, 23 drink tea, 13 drink coffee and 3 drink both. How many drink exactly one of the two?
  37. 37.In a group of 52 children, 19 sing Hindi songs, 22 sing English songs and 3 sing both. How many sing neither of the two?
  38. 38.In a group of 32 children, 13 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  39. 39.In a group of 48 children, 24 play chess, 18 play carrom and 6 play both. How many play only chess?
  40. 40.In a group of 38 children, 32 play cricket, 15 play football and 12 play both. How many play neither of the two?

Answer key

  1. 24
  2. 14
  3. 39
  4. 20
  5. 19
  6. 16
  7. 17
  8. 14
  9. 13
  10. 10
  11. 12
  12. 16
  13. 26
  14. 12
  15. 15
  16. 14
  17. 11
  18. 9
  19. 20
  20. 31
  21. 13
  22. 35
  23. 7
  24. 30
  25. 4
  26. 1
  27. 20
  28. 19
  29. 12
  30. 13
  31. 1
  32. 6
  33. 45
  34. 4
  35. 3
  36. 30
  37. 14
  38. 20
  39. 18
  40. 3

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