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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 434 · 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 24 children, 11 like mangoes, 13 like bananas and 7 like both. How many like at least one of the two?
  2. 2.In a group of 36 children, 26 enjoy drawing, 19 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  3. 3.In a group of 27 grown-ups, 17 drink tea, 10 drink coffee and 4 drink both. How many drink neither of the two?
  4. 4.In a group of 15 children, 7 like mangoes, 10 like bananas and 3 like both. How many like exactly one of the two?
  5. 5.In a group of 25 children, 13 like mangoes, 9 like bananas and 5 like both. How many like only mangoes?
  6. 6.In a group of 39 grown-ups, 19 drink tea, 16 drink coffee and 7 drink both. How many drink only coffee?
  7. 7.In a group of 46 children, 18 enjoy drawing, 28 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  8. 8.In a group of 32 children, 12 play cricket, 14 play football and 4 play both. How many play neither of the two?
  9. 9.In a group of 27 children, 18 play chess, 6 play carrom and 2 play both. How many play exactly one of the two?
  10. 10.In a group of 53 children, 28 sing Hindi songs, 21 sing English songs and 10 sing both. How many sing only Hindi songs?
  11. 11.In a group of 45 children, 13 enjoy drawing, 25 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  12. 12.In a group of 33 grown-ups, 15 drink tea, 23 drink coffee and 8 drink both. How many drink neither of the two?
  13. 13.In a group of 37 children, 13 enjoy drawing, 19 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 32 children, 17 play cricket, 18 play football and 9 play both. How many play only cricket?
  15. 15.In a group of 39 children, 29 enjoy drawing, 14 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  16. 16.In a group of 43 children, 24 play cricket, 19 play football and 11 play both. How many play neither of the two?
  17. 17.In a group of 48 children, 15 play cricket, 26 play football and 8 play both. How many play at least one of the two?
  18. 18.In a group of 26 grown-ups, 16 drink tea, 12 drink coffee and 5 drink both. How many drink only coffee?
  19. 19.In a group of 49 children, 18 enjoy drawing, 25 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  20. 20.In a group of 21 children, 15 play cricket, 7 play football and 4 play both. How many play only cricket?
  21. 21.In a group of 36 children, 9 play cricket, 20 play football and 2 play both. How many play neither of the two?
  22. 22.In a group of 30 children, 14 like mangoes, 12 like bananas and 4 like both. How many like exactly one of the two?
  23. 23.In a group of 38 children, 22 play cricket, 13 play football and 4 play both. How many play neither of the two?
  24. 24.In a group of 44 children, 22 play cricket, 20 play football and 5 play both. How many play neither of the two?
  25. 25.In a group of 24 children, 14 play cricket, 18 play football and 10 play both. How many play exactly one of the two?
  26. 26.In a group of 37 children, 14 enjoy drawing, 22 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  27. 27.In a group of 20 children, 15 play cricket, 12 play football and 8 play both. How many play only cricket?
  28. 28.In a group of 24 children, 16 play cricket, 9 play football and 3 play both. How many play neither of the two?
  29. 29.In a group of 45 children, 22 sing Hindi songs, 26 sing English songs and 9 sing both. How many sing at least one of the two?
  30. 30.In a group of 45 children, 18 sing Hindi songs, 19 sing English songs and 2 sing both. How many sing neither of the two?
  31. 31.In a group of 44 grown-ups, 18 drink tea, 21 drink coffee and 8 drink both. How many drink exactly one of the two?
  32. 32.In a group of 38 children, 16 play chess, 29 play carrom and 11 play both. How many play exactly one of the two?
  33. 33.In a group of 45 children, 16 sing Hindi songs, 23 sing English songs and 6 sing both. How many sing exactly one of the two?
  34. 34.In a group of 36 children, 22 play cricket, 13 play football and 7 play both. How many play neither of the two?
  35. 35.In a group of 37 children, 15 play cricket, 17 play football and 2 play both. How many play exactly one of the two?
  36. 36.In a group of 46 children, 19 play chess, 25 play carrom and 7 play both. How many play only carrom?
  37. 37.In a group of 40 children, 19 play cricket, 18 play football and 5 play both. How many play neither of the two?
  38. 38.In a group of 27 children, 19 play chess, 6 play carrom and 3 play both. How many play only chess?
  39. 39.In a group of 42 children, 20 enjoy drawing, 26 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  40. 40.In a group of 42 children, 21 like mangoes, 18 like bananas and 5 like both. How many like only bananas?

Answer key

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

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