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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 350 · 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 36 grown-ups, 23 drink tea, 21 drink coffee and 12 drink both. How many drink neither of the two?
  2. 2.In a group of 22 children, 8 sing Hindi songs, 14 sing English songs and 5 sing both. How many sing neither of the two?
  3. 3.In a group of 20 children, 11 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing only English songs?
  4. 4.In a group of 40 children, 28 enjoy drawing, 18 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 44 children, 26 like mangoes, 19 like bananas and 6 like both. How many like only mangoes?
  6. 6.In a group of 41 children, 14 play chess, 21 play carrom and 8 play both. How many play exactly one of the two?
  7. 7.In a group of 37 children, 14 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing only Hindi songs?
  8. 8.In a group of 39 children, 23 play cricket, 10 play football and 3 play both. How many play exactly one of the two?
  9. 9.In a group of 24 children, 19 enjoy drawing, 15 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  10. 10.In a group of 24 children, 6 like mangoes, 18 like bananas and 2 like both. How many like only mangoes?
  11. 11.In a group of 15 children, 7 like mangoes, 9 like bananas and 3 like both. How many like only mangoes?
  12. 12.In a group of 22 children, 8 enjoy drawing, 11 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 46 grown-ups, 28 drink tea, 18 drink coffee and 11 drink both. How many drink only coffee?
  14. 14.In a group of 14 grown-ups, 8 drink tea, 7 drink coffee and 3 drink both. How many drink only coffee?
  15. 15.In a group of 32 children, 12 enjoy drawing, 17 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  16. 16.In a group of 36 children, 26 sing Hindi songs, 16 sing English songs and 11 sing both. How many sing at least one of the two?
  17. 17.In a group of 37 children, 14 like mangoes, 14 like bananas and 3 like both. How many like neither of the two?
  18. 18.In a group of 38 children, 21 sing Hindi songs, 26 sing English songs and 10 sing both. How many sing neither of the two?
  19. 19.In a group of 35 children, 15 play cricket, 17 play football and 10 play both. How many play only cricket?
  20. 20.In a group of 54 children, 24 enjoy drawing, 31 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  21. 21.In a group of 43 children, 24 play cricket, 18 play football and 6 play both. How many play neither of the two?
  22. 22.In a group of 42 children, 25 like mangoes, 16 like bananas and 5 like both. How many like only mangoes?
  23. 23.In a group of 14 grown-ups, 7 drink tea, 6 drink coffee and 2 drink both. How many drink only coffee?
  24. 24.In a group of 26 children, 15 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing only English songs?
  25. 25.In a group of 34 children, 14 like mangoes, 17 like bananas and 3 like both. How many like exactly one of the two?
  26. 26.In a group of 21 children, 10 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 33 children, 19 play cricket, 18 play football and 9 play both. How many play only cricket?
  28. 28.In a group of 26 children, 20 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  29. 29.In a group of 44 children, 16 sing Hindi songs, 27 sing English songs and 10 sing both. How many sing only English songs?
  30. 30.In a group of 42 children, 27 enjoy drawing, 23 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 33 grown-ups, 17 drink tea, 17 drink coffee and 11 drink both. How many drink only coffee?
  32. 32.In a group of 47 children, 25 play cricket, 24 play football and 9 play both. How many play only football?
  33. 33.In a group of 40 children, 10 enjoy drawing, 19 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 44 children, 25 play chess, 21 play carrom and 9 play both. How many play at least one of the two?
  35. 35.In a group of 36 children, 21 sing Hindi songs, 26 sing English songs and 12 sing both. How many sing neither of the two?
  36. 36.In a group of 19 children, 8 play chess, 10 play carrom and 5 play both. How many play only carrom?
  37. 37.In a group of 40 children, 18 like mangoes, 22 like bananas and 8 like both. How many like neither of the two?
  38. 38.In a group of 30 children, 21 play cricket, 12 play football and 9 play both. How many play at least one of the two?
  39. 39.In a group of 38 children, 9 like mangoes, 23 like bananas and 3 like both. How many like exactly one of the two?
  40. 40.In a group of 31 children, 17 enjoy drawing, 16 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?

Answer key

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

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