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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 178 · 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 29 grown-ups, 9 drink tea, 12 drink coffee and 6 drink both. How many drink only coffee?
  2. 2.In a group of 38 children, 16 like mangoes, 22 like bananas and 5 like both. How many like exactly one of the two?
  3. 3.In a group of 37 children, 16 play chess, 24 play carrom and 11 play both. How many play only carrom?
  4. 4.In a group of 62 children, 30 enjoy drawing, 31 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  5. 5.In a group of 43 children, 24 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing only English songs?
  6. 6.In a group of 26 children, 8 like mangoes, 15 like bananas and 3 like both. How many like only bananas?
  7. 7.In a group of 27 grown-ups, 11 drink tea, 17 drink coffee and 5 drink both. How many drink only coffee?
  8. 8.In a group of 28 children, 18 play chess, 10 play carrom and 5 play both. How many play only carrom?
  9. 9.In a group of 29 children, 11 enjoy drawing, 17 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  10. 10.In a group of 47 children, 15 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  11. 11.In a group of 33 children, 11 enjoy drawing, 20 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  12. 12.In a group of 39 grown-ups, 24 drink tea, 22 drink coffee and 8 drink both. How many drink neither of the two?
  13. 13.In a group of 34 children, 21 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  14. 14.In a group of 42 children, 30 sing Hindi songs, 22 sing English songs and 11 sing both. How many sing only English songs?
  15. 15.In a group of 50 children, 24 sing Hindi songs, 21 sing English songs and 9 sing both. How many sing only Hindi songs?
  16. 16.In a group of 25 children, 14 play cricket, 8 play football and 4 play both. How many play exactly one of the two?
  17. 17.In a group of 39 children, 23 play chess, 13 play carrom and 7 play both. How many play only chess?
  18. 18.In a group of 28 children, 11 play chess, 13 play carrom and 5 play both. How many play neither of the two?
  19. 19.In a group of 33 children, 15 like mangoes, 14 like bananas and 4 like both. How many like only mangoes?
  20. 20.In a group of 41 children, 23 play cricket, 19 play football and 12 play both. How many play only football?
  21. 21.In a group of 36 children, 14 play chess, 15 play carrom and 7 play both. How many play neither of the two?
  22. 22.In a group of 46 children, 31 sing Hindi songs, 20 sing English songs and 11 sing both. How many sing neither of the two?
  23. 23.In a group of 39 children, 17 like mangoes, 21 like bananas and 12 like both. How many like only bananas?
  24. 24.In a group of 33 children, 22 sing Hindi songs, 15 sing English songs and 12 sing both. How many sing only Hindi songs?
  25. 25.In a group of 48 children, 21 play cricket, 30 play football and 11 play both. How many play only cricket?
  26. 26.In a group of 43 children, 23 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing exactly one of the two?
  27. 27.In a group of 37 children, 12 play cricket, 16 play football and 4 play both. How many play neither of the two?
  28. 28.In a group of 40 grown-ups, 24 drink tea, 24 drink coffee and 9 drink both. How many drink only coffee?
  29. 29.In a group of 40 children, 20 sing Hindi songs, 10 sing English songs and 5 sing both. How many sing neither of the two?
  30. 30.In a group of 42 children, 23 play cricket, 17 play football and 3 play both. How many play exactly one of the two?
  31. 31.In a group of 32 children, 13 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  32. 32.In a group of 30 children, 19 enjoy drawing, 7 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  33. 33.In a group of 46 grown-ups, 19 drink tea, 19 drink coffee and 6 drink both. How many drink only coffee?
  34. 34.In a group of 31 children, 19 sing Hindi songs, 11 sing English songs and 2 sing both. How many sing only Hindi songs?
  35. 35.In a group of 61 children, 32 like mangoes, 30 like bananas and 12 like both. How many like at least one of the two?
  36. 36.In a group of 27 children, 14 sing Hindi songs, 13 sing English songs and 10 sing both. How many sing at least one of the two?
  37. 37.In a group of 22 children, 5 sing Hindi songs, 13 sing English songs and 2 sing both. How many sing at least one of the two?
  38. 38.In a group of 27 grown-ups, 7 drink tea, 11 drink coffee and 3 drink both. How many drink only tea?
  39. 39.In a group of 27 children, 16 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 34 children, 16 play chess, 14 play carrom and 11 play both. How many play at least one of the two?

Answer key

  1. 6
  2. 28
  3. 13
  4. 19
  5. 8
  6. 12
  7. 12
  8. 5
  9. 24
  10. 15
  11. 4
  12. 1
  13. 9
  14. 11
  15. 15
  16. 14
  17. 16
  18. 9
  19. 11
  20. 7
  21. 14
  22. 6
  23. 9
  24. 10
  25. 10
  26. 18
  27. 13
  28. 15
  29. 15
  30. 34
  31. 14
  32. 3
  33. 13
  34. 17
  35. 50
  36. 17
  37. 16
  38. 4
  39. 13
  40. 19

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