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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 647 · 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 32 children, 19 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing exactly one of the two?
  2. 2.In a group of 36 children, 14 play chess, 23 play carrom and 5 play both. How many play at least one of the two?
  3. 3.In a group of 41 children, 15 play chess, 28 play carrom and 12 play both. How many play only carrom?
  4. 4.In a group of 27 children, 12 sing Hindi songs, 13 sing English songs and 4 sing both. How many sing exactly one of the two?
  5. 5.In a group of 39 children, 14 play cricket, 15 play football and 2 play both. How many play only football?
  6. 6.In a group of 27 children, 12 like mangoes, 17 like bananas and 8 like both. How many like exactly one of the two?
  7. 7.In a group of 42 grown-ups, 23 drink tea, 22 drink coffee and 10 drink both. How many drink only coffee?
  8. 8.In a group of 52 children, 23 like mangoes, 26 like bananas and 6 like both. How many like at least one of the two?
  9. 9.In a group of 39 children, 14 play cricket, 26 play football and 11 play both. How many play neither of the two?
  10. 10.In a group of 30 children, 9 enjoy drawing, 11 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  11. 11.In a group of 25 children, 13 sing Hindi songs, 14 sing English songs and 6 sing both. How many sing neither of the two?
  12. 12.In a group of 42 children, 24 play cricket, 19 play football and 6 play both. How many play at least one of the two?
  13. 13.In a group of 46 children, 18 sing Hindi songs, 22 sing English songs and 3 sing both. How many sing only English songs?
  14. 14.In a group of 37 children, 9 enjoy drawing, 22 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  15. 15.In a group of 38 children, 20 sing Hindi songs, 19 sing English songs and 4 sing both. How many sing exactly one of the two?
  16. 16.In a group of 27 children, 19 like mangoes, 18 like bananas and 11 like both. How many like only mangoes?
  17. 17.In a group of 43 grown-ups, 16 drink tea, 25 drink coffee and 5 drink both. How many drink at least one of the two?
  18. 18.In a group of 39 children, 17 play chess, 31 play carrom and 12 play both. How many play only chess?
  19. 19.In a group of 34 children, 25 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  20. 20.In a group of 57 children, 30 enjoy drawing, 31 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  21. 21.In a group of 41 children, 24 play cricket, 16 play football and 6 play both. How many play only football?
  22. 22.In a group of 27 children, 6 play chess, 17 play carrom and 2 play both. How many play only carrom?
  23. 23.In a group of 47 children, 15 play chess, 22 play carrom and 4 play both. How many play at least one of the two?
  24. 24.In a group of 35 children, 21 enjoy drawing, 15 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  25. 25.In a group of 28 children, 18 like mangoes, 10 like bananas and 3 like both. How many like only mangoes?
  26. 26.In a group of 38 children, 8 play chess, 21 play carrom and 3 play both. How many play only carrom?
  27. 27.In a group of 51 grown-ups, 26 drink tea, 16 drink coffee and 6 drink both. How many drink only tea?
  28. 28.In a group of 40 children, 26 play chess, 18 play carrom and 12 play both. How many play only carrom?
  29. 29.In a group of 39 children, 11 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing only Hindi songs?
  30. 30.In a group of 38 children, 20 play cricket, 12 play football and 5 play both. How many play neither of the two?
  31. 31.In a group of 28 children, 11 sing Hindi songs, 16 sing English songs and 2 sing both. How many sing only English songs?
  32. 32.In a group of 27 children, 16 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  33. 33.In a group of 46 children, 16 like mangoes, 27 like bananas and 10 like both. How many like only bananas?
  34. 34.In a group of 31 children, 15 sing Hindi songs, 22 sing English songs and 9 sing both. How many sing neither of the two?
  35. 35.In a group of 56 children, 28 like mangoes, 29 like bananas and 12 like both. How many like only bananas?
  36. 36.In a group of 40 children, 25 enjoy drawing, 8 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 41 children, 22 sing Hindi songs, 19 sing English songs and 4 sing both. How many sing neither of the two?
  38. 38.In a group of 43 grown-ups, 19 drink tea, 25 drink coffee and 9 drink both. How many drink only tea?
  39. 39.In a group of 32 children, 9 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 24 children, 13 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing only Hindi songs?

Answer key

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

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