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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 645 · 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 34 children, 11 like mangoes, 21 like bananas and 8 like both. How many like only mangoes?
  2. 2.In a group of 30 grown-ups, 19 drink tea, 6 drink coffee and 2 drink both. How many drink at least one of the two?
  3. 3.In a group of 35 children, 28 enjoy drawing, 14 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  4. 4.In a group of 52 grown-ups, 22 drink tea, 27 drink coffee and 11 drink both. How many drink only coffee?
  5. 5.In a group of 41 children, 25 sing Hindi songs, 11 sing English songs and 5 sing both. How many sing at least one of the two?
  6. 6.In a group of 37 children, 23 play cricket, 14 play football and 8 play both. How many play neither of the two?
  7. 7.In a group of 44 children, 27 play cricket, 23 play football and 8 play both. How many play neither of the two?
  8. 8.In a group of 35 children, 21 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing only English songs?
  9. 9.In a group of 35 children, 21 sing Hindi songs, 16 sing English songs and 4 sing both. How many sing exactly one of the two?
  10. 10.In a group of 38 children, 21 like mangoes, 13 like bananas and 4 like both. How many like exactly one of the two?
  11. 11.In a group of 37 grown-ups, 14 drink tea, 23 drink coffee and 11 drink both. How many drink at least one of the two?
  12. 12.In a group of 24 children, 16 play chess, 12 play carrom and 5 play both. How many play only chess?
  13. 13.In a group of 49 children, 31 enjoy drawing, 25 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 27 grown-ups, 20 drink tea, 18 drink coffee and 12 drink both. How many drink at least one of the two?
  15. 15.In a group of 43 children, 26 play cricket, 20 play football and 12 play both. How many play only football?
  16. 16.In a group of 31 children, 24 sing Hindi songs, 14 sing English songs and 8 sing both. How many sing only Hindi songs?
  17. 17.In a group of 22 children, 8 enjoy drawing, 13 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 63 children, 29 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  19. 19.In a group of 22 children, 5 sing Hindi songs, 16 sing English songs and 2 sing both. How many sing at least one of the two?
  20. 20.In a group of 34 children, 12 play cricket, 23 play football and 3 play both. How many play only cricket?
  21. 21.In a group of 41 children, 21 play cricket, 22 play football and 7 play both. How many play only cricket?
  22. 22.In a group of 28 children, 21 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing exactly one of the two?
  23. 23.In a group of 24 children, 8 play chess, 15 play carrom and 3 play both. How many play neither of the two?
  24. 24.In a group of 40 grown-ups, 19 drink tea, 24 drink coffee and 12 drink both. How many drink neither of the two?
  25. 25.In a group of 48 children, 27 enjoy drawing, 21 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 50 children, 27 play chess, 21 play carrom and 9 play both. How many play only chess?
  27. 27.In a group of 39 grown-ups, 18 drink tea, 16 drink coffee and 10 drink both. How many drink at least one of the two?
  28. 28.In a group of 34 children, 9 enjoy drawing, 15 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 34 children, 12 play cricket, 16 play football and 4 play both. How many play only football?
  30. 30.In a group of 44 children, 18 enjoy drawing, 19 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 45 children, 17 like mangoes, 26 like bananas and 12 like both. How many like exactly one of the two?
  32. 32.In a group of 49 children, 29 like mangoes, 21 like bananas and 12 like both. How many like only mangoes?
  33. 33.In a group of 48 children, 27 play chess, 19 play carrom and 8 play both. How many play exactly one of the two?
  34. 34.In a group of 33 children, 14 play cricket, 23 play football and 9 play both. How many play exactly one of the two?
  35. 35.In a group of 23 children, 15 enjoy drawing, 5 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  36. 36.In a group of 49 children, 24 play cricket, 27 play football and 8 play both. How many play only football?
  37. 37.In a group of 41 children, 9 like mangoes, 21 like bananas and 3 like both. How many like only mangoes?
  38. 38.In a group of 49 children, 15 enjoy drawing, 28 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  39. 39.In a group of 37 children, 24 sing Hindi songs, 15 sing English songs and 12 sing both. How many sing neither of the two?
  40. 40.In a group of 30 children, 7 sing Hindi songs, 18 sing English songs and 3 sing both. How many sing at least one of the two?

Answer key

  1. 3
  2. 23
  3. 2
  4. 16
  5. 31
  6. 8
  7. 2
  8. 8
  9. 29
  10. 26
  11. 26
  12. 11
  13. 44
  14. 26
  15. 8
  16. 16
  17. 4
  18. 49
  19. 19
  20. 9
  21. 14
  22. 13
  23. 4
  24. 9
  25. 38
  26. 18
  27. 24
  28. 21
  29. 12
  30. 10
  31. 19
  32. 17
  33. 30
  34. 19
  35. 16
  36. 19
  37. 6
  38. 34
  39. 10
  40. 22

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