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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 121 · 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 45 children, 20 like mangoes, 21 like bananas and 3 like both. How many like only bananas?
  2. 2.In a group of 47 children, 27 sing Hindi songs, 14 sing English songs and 8 sing both. How many sing only English songs?
  3. 3.In a group of 32 children, 17 play cricket, 12 play football and 2 play both. How many play at least one of the two?
  4. 4.In a group of 33 grown-ups, 20 drink tea, 22 drink coffee and 11 drink both. How many drink neither of the two?
  5. 5.In a group of 50 children, 24 like mangoes, 21 like bananas and 5 like both. How many like only mangoes?
  6. 6.In a group of 37 children, 11 play chess, 21 play carrom and 2 play both. How many play at least one of the two?
  7. 7.In a group of 36 children, 27 play chess, 14 play carrom and 7 play both. How many play neither of the two?
  8. 8.In a group of 36 children, 14 sing Hindi songs, 27 sing English songs and 9 sing both. How many sing at least one of the two?
  9. 9.In a group of 38 children, 14 play chess, 20 play carrom and 2 play both. How many play neither of the two?
  10. 10.In a group of 43 children, 15 play cricket, 16 play football and 2 play both. How many play only football?
  11. 11.In a group of 39 children, 14 play chess, 24 play carrom and 9 play both. How many play neither of the two?
  12. 12.In a group of 55 children, 31 enjoy drawing, 22 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 33 children, 14 play chess, 21 play carrom and 3 play both. How many play neither of the two?
  14. 14.In a group of 47 children, 25 play cricket, 22 play football and 11 play both. How many play only cricket?
  15. 15.In a group of 51 grown-ups, 28 drink tea, 16 drink coffee and 8 drink both. How many drink only coffee?
  16. 16.In a group of 35 children, 22 sing Hindi songs, 17 sing English songs and 9 sing both. How many sing only English songs?
  17. 17.In a group of 40 children, 27 enjoy drawing, 12 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 38 children, 20 sing Hindi songs, 17 sing English songs and 10 sing both. How many sing only Hindi songs?
  19. 19.In a group of 23 grown-ups, 6 drink tea, 11 drink coffee and 2 drink both. How many drink only coffee?
  20. 20.In a group of 38 children, 15 like mangoes, 23 like bananas and 12 like both. How many like at least one of the two?
  21. 21.In a group of 35 children, 20 like mangoes, 5 like bananas and 2 like both. How many like at least one of the two?
  22. 22.In a group of 42 children, 29 play cricket, 20 play football and 11 play both. How many play only cricket?
  23. 23.In a group of 49 children, 23 enjoy drawing, 29 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  24. 24.In a group of 46 children, 22 enjoy drawing, 19 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  25. 25.In a group of 31 children, 10 enjoy drawing, 16 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 56 grown-ups, 29 drink tea, 28 drink coffee and 12 drink both. How many drink at least one of the two?
  27. 27.In a group of 38 children, 10 enjoy drawing, 19 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  28. 28.In a group of 41 children, 22 play cricket, 18 play football and 10 play both. How many play only cricket?
  29. 29.In a group of 30 children, 7 like mangoes, 17 like bananas and 4 like both. How many like exactly one of the two?
  30. 30.In a group of 35 children, 20 play cricket, 19 play football and 9 play both. How many play only cricket?
  31. 31.In a group of 31 children, 22 like mangoes, 15 like bananas and 12 like both. How many like neither of the two?
  32. 32.In a group of 28 children, 15 play cricket, 14 play football and 3 play both. How many play only cricket?
  33. 33.In a group of 41 children, 20 sing Hindi songs, 19 sing English songs and 6 sing both. How many sing at least one of the two?
  34. 34.In a group of 49 children, 24 enjoy drawing, 24 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  35. 35.In a group of 39 children, 17 like mangoes, 10 like bananas and 3 like both. How many like only bananas?
  36. 36.In a group of 44 children, 25 like mangoes, 22 like bananas and 7 like both. How many like exactly one of the two?
  37. 37.In a group of 20 grown-ups, 9 drink tea, 12 drink coffee and 4 drink both. How many drink exactly one of the two?
  38. 38.In a group of 47 children, 13 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  39. 39.In a group of 32 children, 22 enjoy drawing, 11 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  40. 40.In a group of 42 grown-ups, 24 drink tea, 17 drink coffee and 11 drink both. How many drink exactly one of the two?

Answer key

  1. 18
  2. 6
  3. 27
  4. 2
  5. 19
  6. 30
  7. 2
  8. 32
  9. 6
  10. 14
  11. 10
  12. 41
  13. 1
  14. 14
  15. 8
  16. 8
  17. 18
  18. 10
  19. 9
  20. 26
  21. 23
  22. 18
  23. 30
  24. 36
  25. 20
  26. 45
  27. 7
  28. 12
  29. 16
  30. 11
  31. 6
  32. 12
  33. 33
  34. 7
  35. 7
  36. 33
  37. 13
  38. 22
  39. 25
  40. 19

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