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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 11 · 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 51 grown-ups, 27 drink tea, 31 drink coffee and 12 drink both. How many drink neither of the two?
  2. 2.In a group of 27 grown-ups, 22 drink tea, 12 drink coffee and 9 drink both. How many drink exactly one of the two?
  3. 3.In a group of 42 children, 24 play cricket, 9 play football and 4 play both. How many play only cricket?
  4. 4.In a group of 30 children, 13 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 27 children, 8 sing Hindi songs, 20 sing English songs and 5 sing both. How many sing neither of the two?
  6. 6.In a group of 38 children, 11 play cricket, 22 play football and 5 play both. How many play only cricket?
  7. 7.In a group of 47 children, 19 like mangoes, 18 like bananas and 5 like both. How many like at least one of the two?
  8. 8.In a group of 24 children, 12 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing neither of the two?
  9. 9.In a group of 31 children, 8 enjoy drawing, 19 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  10. 10.In a group of 38 children, 16 like mangoes, 18 like bananas and 11 like both. How many like exactly one of the two?
  11. 11.In a group of 37 children, 19 play chess, 7 play carrom and 2 play both. How many play neither of the two?
  12. 12.In a group of 30 grown-ups, 7 drink tea, 17 drink coffee and 4 drink both. How many drink at least one of the two?
  13. 13.In a group of 32 children, 14 like mangoes, 13 like bananas and 2 like both. How many like only mangoes?
  14. 14.In a group of 25 children, 9 play chess, 14 play carrom and 3 play both. How many play at least one of the two?
  15. 15.In a group of 24 children, 13 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  16. 16.In a group of 37 children, 22 like mangoes, 14 like bananas and 4 like both. How many like exactly one of the two?
  17. 17.In a group of 25 children, 11 play cricket, 12 play football and 3 play both. How many play only cricket?
  18. 18.In a group of 32 children, 17 play chess, 9 play carrom and 6 play both. How many play only chess?
  19. 19.In a group of 43 children, 17 play chess, 22 play carrom and 6 play both. How many play neither of the two?
  20. 20.In a group of 46 grown-ups, 15 drink tea, 23 drink coffee and 5 drink both. How many drink neither of the two?
  21. 21.In a group of 32 children, 14 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing at least one of the two?
  22. 22.In a group of 32 children, 9 like mangoes, 23 like bananas and 3 like both. How many like neither of the two?
  23. 23.In a group of 37 children, 19 play chess, 16 play carrom and 8 play both. How many play only carrom?
  24. 24.In a group of 29 children, 11 play cricket, 22 play football and 7 play both. How many play at least one of the two?
  25. 25.In a group of 24 children, 11 play chess, 15 play carrom and 8 play both. How many play at least one of the two?
  26. 26.In a group of 32 children, 13 sing Hindi songs, 14 sing English songs and 9 sing both. How many sing only Hindi songs?
  27. 27.In a group of 17 children, 13 play cricket, 5 play football and 2 play both. How many play only football?
  28. 28.In a group of 46 grown-ups, 24 drink tea, 13 drink coffee and 5 drink both. How many drink neither of the two?
  29. 29.In a group of 34 grown-ups, 21 drink tea, 13 drink coffee and 7 drink both. How many drink neither of the two?
  30. 30.In a group of 48 children, 20 like mangoes, 26 like bananas and 12 like both. How many like neither of the two?
  31. 31.In a group of 29 children, 12 play cricket, 12 play football and 8 play both. How many play only cricket?
  32. 32.In a group of 23 children, 16 play cricket, 14 play football and 9 play both. How many play exactly one of the two?
  33. 33.In a group of 30 children, 13 enjoy drawing, 22 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  34. 34.In a group of 41 children, 17 sing Hindi songs, 27 sing English songs and 12 sing both. How many sing only Hindi songs?
  35. 35.In a group of 17 children, 9 play chess, 12 play carrom and 6 play both. How many play neither of the two?
  36. 36.In a group of 57 children, 27 play chess, 23 play carrom and 7 play both. How many play at least one of the two?
  37. 37.In a group of 23 grown-ups, 15 drink tea, 16 drink coffee and 11 drink both. How many drink at least one of the two?
  38. 38.In a group of 45 children, 24 play cricket, 28 play football and 8 play both. How many play only football?
  39. 39.In a group of 41 children, 18 enjoy drawing, 20 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  40. 40.In a group of 27 children, 10 like mangoes, 17 like bananas and 4 like both. How many like only mangoes?

Answer key

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

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