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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 132 · 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 35 children, 11 enjoy drawing, 23 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  2. 2.In a group of 42 children, 20 play chess, 25 play carrom and 12 play both. How many play only carrom?
  3. 3.In a group of 24 children, 10 like mangoes, 18 like bananas and 7 like both. How many like only bananas?
  4. 4.In a group of 25 children, 13 like mangoes, 17 like bananas and 8 like both. How many like only mangoes?
  5. 5.In a group of 36 children, 9 play cricket, 17 play football and 5 play both. How many play at least one of the two?
  6. 6.In a group of 28 children, 19 enjoy drawing, 14 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  7. 7.In a group of 37 children, 17 play cricket, 21 play football and 2 play both. How many play only football?
  8. 8.In a group of 39 children, 19 enjoy drawing, 16 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  9. 9.In a group of 33 children, 27 play chess, 15 play carrom and 12 play both. How many play only chess?
  10. 10.In a group of 34 children, 12 enjoy drawing, 21 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  11. 11.In a group of 49 children, 14 play cricket, 22 play football and 2 play both. How many play neither of the two?
  12. 12.In a group of 45 children, 25 sing Hindi songs, 21 sing English songs and 10 sing both. How many sing only Hindi songs?
  13. 13.In a group of 38 children, 18 sing Hindi songs, 16 sing English songs and 5 sing both. How many sing only English songs?
  14. 14.In a group of 22 children, 7 enjoy drawing, 9 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  15. 15.In a group of 40 children, 17 sing Hindi songs, 17 sing English songs and 2 sing both. How many sing only English songs?
  16. 16.In a group of 37 children, 19 play cricket, 19 play football and 9 play both. How many play only cricket?
  17. 17.In a group of 39 children, 22 like mangoes, 12 like bananas and 2 like both. How many like only mangoes?
  18. 18.In a group of 37 children, 18 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing only Hindi songs?
  19. 19.In a group of 42 children, 25 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing only Hindi songs?
  20. 20.In a group of 61 children, 30 play chess, 28 play carrom and 10 play both. How many play neither of the two?
  21. 21.In a group of 47 grown-ups, 20 drink tea, 31 drink coffee and 11 drink both. How many drink exactly one of the two?
  22. 22.In a group of 31 children, 18 enjoy drawing, 15 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  23. 23.In a group of 30 children, 13 play chess, 7 play carrom and 2 play both. How many play at least one of the two?
  24. 24.In a group of 36 grown-ups, 22 drink tea, 15 drink coffee and 11 drink both. How many drink at least one of the two?
  25. 25.In a group of 30 children, 9 play chess, 18 play carrom and 6 play both. How many play only carrom?
  26. 26.In a group of 38 children, 21 enjoy drawing, 23 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  27. 27.In a group of 27 grown-ups, 19 drink tea, 6 drink coffee and 2 drink both. How many drink only coffee?
  28. 28.In a group of 23 children, 11 play cricket, 11 play football and 2 play both. How many play only football?
  29. 29.In a group of 52 children, 26 like mangoes, 23 like bananas and 6 like both. How many like neither of the two?
  30. 30.In a group of 19 children, 11 play cricket, 11 play football and 5 play both. How many play exactly one of the two?
  31. 31.In a group of 32 children, 20 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  32. 32.In a group of 37 children, 26 like mangoes, 20 like bananas and 12 like both. How many like exactly one of the two?
  33. 33.In a group of 33 children, 15 play cricket, 21 play football and 6 play both. How many play exactly one of the two?
  34. 34.In a group of 43 children, 20 play cricket, 13 play football and 2 play both. How many play at least one of the two?
  35. 35.In a group of 29 grown-ups, 12 drink tea, 11 drink coffee and 5 drink both. How many drink at least one of the two?
  36. 36.In a group of 43 children, 17 like mangoes, 18 like bananas and 6 like both. How many like neither of the two?
  37. 37.In a group of 58 children, 31 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing only Hindi songs?
  38. 38.In a group of 33 grown-ups, 21 drink tea, 11 drink coffee and 6 drink both. How many drink neither of the two?
  39. 39.In a group of 53 children, 21 sing Hindi songs, 24 sing English songs and 6 sing both. How many sing only Hindi songs?
  40. 40.In a group of 45 children, 24 sing Hindi songs, 22 sing English songs and 10 sing both. How many sing neither of the two?

Answer key

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

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