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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 233 · 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 52 children, 25 enjoy drawing, 30 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  2. 2.In a group of 44 children, 19 enjoy drawing, 22 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  3. 3.In a group of 35 children, 8 enjoy drawing, 20 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 30 children, 17 play cricket, 21 play football and 12 play both. How many play neither of the two?
  5. 5.In a group of 28 children, 8 like mangoes, 13 like bananas and 3 like both. How many like at least one of the two?
  6. 6.In a group of 24 grown-ups, 12 drink tea, 16 drink coffee and 8 drink both. How many drink exactly one of the two?
  7. 7.In a group of 37 children, 19 play cricket, 27 play football and 12 play both. How many play only cricket?
  8. 8.In a group of 36 grown-ups, 11 drink tea, 25 drink coffee and 6 drink both. How many drink only coffee?
  9. 9.In a group of 42 children, 21 play chess, 17 play carrom and 4 play both. How many play only chess?
  10. 10.In a group of 16 children, 10 sing Hindi songs, 6 sing English songs and 3 sing both. How many sing exactly one of the two?
  11. 11.In a group of 18 children, 13 play cricket, 11 play football and 7 play both. How many play only cricket?
  12. 12.In a group of 47 children, 20 like mangoes, 21 like bananas and 6 like both. How many like neither of the two?
  13. 13.In a group of 37 children, 22 play chess, 14 play carrom and 7 play both. How many play exactly one of the two?
  14. 14.In a group of 22 children, 13 play chess, 9 play carrom and 2 play both. How many play only chess?
  15. 15.In a group of 40 children, 26 like mangoes, 19 like bananas and 9 like both. How many like exactly one of the two?
  16. 16.In a group of 38 children, 12 like mangoes, 26 like bananas and 8 like both. How many like neither of the two?
  17. 17.In a group of 45 grown-ups, 14 drink tea, 18 drink coffee and 2 drink both. How many drink only coffee?
  18. 18.In a group of 29 children, 23 play cricket, 15 play football and 11 play both. How many play at least one of the two?
  19. 19.In a group of 20 grown-ups, 15 drink tea, 6 drink coffee and 3 drink both. How many drink only tea?
  20. 20.In a group of 35 children, 17 play cricket, 14 play football and 10 play both. How many play exactly one of the two?
  21. 21.In a group of 52 children, 21 like mangoes, 25 like bananas and 5 like both. How many like only mangoes?
  22. 22.In a group of 42 children, 16 like mangoes, 23 like bananas and 5 like both. How many like exactly one of the two?
  23. 23.In a group of 27 grown-ups, 10 drink tea, 10 drink coffee and 2 drink both. How many drink only tea?
  24. 24.In a group of 41 children, 21 enjoy drawing, 26 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  25. 25.In a group of 40 children, 15 play cricket, 25 play football and 9 play both. How many play neither of the two?
  26. 26.In a group of 53 children, 30 play cricket, 26 play football and 10 play both. How many play only cricket?
  27. 27.In a group of 38 grown-ups, 17 drink tea, 23 drink coffee and 4 drink both. How many drink only tea?
  28. 28.In a group of 48 children, 13 play cricket, 30 play football and 10 play both. How many play only football?
  29. 29.In a group of 34 children, 10 sing Hindi songs, 22 sing English songs and 3 sing both. How many sing only Hindi songs?
  30. 30.In a group of 20 children, 7 enjoy drawing, 15 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  31. 31.In a group of 44 children, 16 sing Hindi songs, 27 sing English songs and 9 sing both. How many sing exactly one of the two?
  32. 32.In a group of 34 children, 10 like mangoes, 16 like bananas and 3 like both. How many like only mangoes?
  33. 33.In a group of 30 children, 15 like mangoes, 20 like bananas and 11 like both. How many like neither of the two?
  34. 34.In a group of 22 children, 14 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing at least one of the two?
  35. 35.In a group of 40 children, 25 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing at least one of the two?
  36. 36.In a group of 36 children, 21 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 37 children, 7 like mangoes, 23 like bananas and 4 like both. How many like neither of the two?
  38. 38.In a group of 25 children, 12 like mangoes, 14 like bananas and 3 like both. How many like only bananas?
  39. 39.In a group of 23 children, 14 sing Hindi songs, 11 sing English songs and 8 sing both. How many sing only Hindi songs?
  40. 40.In a group of 29 children, 19 play cricket, 11 play football and 3 play both. How many play exactly one of the two?

Answer key

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

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