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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 324 · 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 45 children, 23 like mangoes, 19 like bananas and 8 like both. How many like neither of the two?
  2. 2.In a group of 31 children, 14 play cricket, 10 play football and 7 play both. How many play only football?
  3. 3.In a group of 46 children, 22 play chess, 20 play carrom and 5 play both. How many play neither of the two?
  4. 4.In a group of 38 children, 24 play chess, 7 play carrom and 4 play both. How many play neither of the two?
  5. 5.In a group of 29 children, 17 play chess, 14 play carrom and 6 play both. How many play only carrom?
  6. 6.In a group of 41 children, 13 like mangoes, 17 like bananas and 2 like both. How many like only mangoes?
  7. 7.In a group of 47 grown-ups, 16 drink tea, 23 drink coffee and 4 drink both. How many drink neither of the two?
  8. 8.In a group of 45 children, 18 sing Hindi songs, 20 sing English songs and 7 sing both. How many sing exactly one of the two?
  9. 9.In a group of 45 children, 15 sing Hindi songs, 23 sing English songs and 8 sing both. How many sing exactly one of the two?
  10. 10.In a group of 41 grown-ups, 23 drink tea, 19 drink coffee and 3 drink both. How many drink only coffee?
  11. 11.In a group of 32 children, 10 sing Hindi songs, 16 sing English songs and 7 sing both. How many sing only Hindi songs?
  12. 12.In a group of 38 children, 13 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 31 children, 12 play chess, 10 play carrom and 3 play both. How many play only chess?
  14. 14.In a group of 30 grown-ups, 19 drink tea, 13 drink coffee and 4 drink both. How many drink neither of the two?
  15. 15.In a group of 38 grown-ups, 24 drink tea, 16 drink coffee and 9 drink both. How many drink only coffee?
  16. 16.In a group of 52 children, 27 play cricket, 32 play football and 12 play both. How many play exactly one of the two?
  17. 17.In a group of 45 children, 26 play chess, 11 play carrom and 6 play both. How many play only carrom?
  18. 18.In a group of 29 children, 15 play chess, 16 play carrom and 11 play both. How many play exactly one of the two?
  19. 19.In a group of 31 children, 15 sing Hindi songs, 6 sing English songs and 3 sing both. How many sing at least one of the two?
  20. 20.In a group of 43 grown-ups, 26 drink tea, 17 drink coffee and 12 drink both. How many drink only coffee?
  21. 21.In a group of 33 children, 18 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 38 children, 19 play cricket, 16 play football and 3 play both. How many play exactly one of the two?
  23. 23.In a group of 38 children, 17 like mangoes, 20 like bananas and 2 like both. How many like exactly one of the two?
  24. 24.In a group of 31 children, 16 like mangoes, 16 like bananas and 11 like both. How many like only bananas?
  25. 25.In a group of 26 grown-ups, 15 drink tea, 20 drink coffee and 12 drink both. How many drink exactly one of the two?
  26. 26.In a group of 45 children, 29 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  27. 27.In a group of 51 children, 24 play cricket, 27 play football and 11 play both. How many play at least one of the two?
  28. 28.In a group of 30 children, 15 play cricket, 7 play football and 4 play both. How many play only football?
  29. 29.In a group of 43 children, 20 enjoy drawing, 18 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  30. 30.In a group of 37 children, 23 sing Hindi songs, 19 sing English songs and 9 sing both. How many sing only Hindi songs?
  31. 31.In a group of 27 children, 17 like mangoes, 18 like bananas and 9 like both. How many like exactly one of the two?
  32. 32.In a group of 38 children, 18 enjoy drawing, 11 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  33. 33.In a group of 23 children, 15 play chess, 8 play carrom and 2 play both. How many play exactly one of the two?
  34. 34.In a group of 30 children, 8 like mangoes, 17 like bananas and 2 like both. How many like only mangoes?
  35. 35.In a group of 43 children, 11 enjoy drawing, 28 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 41 children, 14 enjoy drawing, 25 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  37. 37.In a group of 49 children, 24 like mangoes, 17 like bananas and 7 like both. How many like only mangoes?
  38. 38.In a group of 25 grown-ups, 17 drink tea, 11 drink coffee and 4 drink both. How many drink neither of the two?
  39. 39.In a group of 30 children, 16 play chess, 8 play carrom and 4 play both. How many play only chess?
  40. 40.In a group of 25 children, 12 like mangoes, 6 like bananas and 2 like both. How many like only mangoes?

Answer key

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

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