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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 561 · 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 33 grown-ups, 12 drink tea, 19 drink coffee and 5 drink both. How many drink only tea?
  2. 2.In a group of 16 children, 8 like mangoes, 9 like bananas and 5 like both. How many like only mangoes?
  3. 3.In a group of 45 children, 20 play chess, 28 play carrom and 10 play both. How many play only carrom?
  4. 4.In a group of 33 children, 21 enjoy drawing, 11 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  5. 5.In a group of 52 children, 27 play chess, 21 play carrom and 8 play both. How many play neither of the two?
  6. 6.In a group of 39 children, 17 like mangoes, 23 like bananas and 6 like both. How many like at least one of the two?
  7. 7.In a group of 29 children, 23 like mangoes, 11 like bananas and 6 like both. How many like only bananas?
  8. 8.In a group of 28 children, 13 play cricket, 13 play football and 9 play both. How many play exactly one of the two?
  9. 9.In a group of 42 children, 29 play cricket, 13 play football and 9 play both. How many play only football?
  10. 10.In a group of 44 children, 21 enjoy drawing, 24 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  11. 11.In a group of 48 children, 15 sing Hindi songs, 22 sing English songs and 2 sing both. How many sing only Hindi songs?
  12. 12.In a group of 41 children, 19 play cricket, 16 play football and 9 play both. How many play only cricket?
  13. 13.In a group of 30 children, 16 play cricket, 13 play football and 9 play both. How many play at least one of the two?
  14. 14.In a group of 40 children, 14 play cricket, 17 play football and 4 play both. How many play only cricket?
  15. 15.In a group of 24 children, 13 play cricket, 13 play football and 10 play both. How many play exactly one of the two?
  16. 16.In a group of 29 children, 18 play cricket, 22 play football and 12 play both. How many play only football?
  17. 17.In a group of 53 children, 25 like mangoes, 27 like bananas and 12 like both. How many like only bananas?
  18. 18.In a group of 39 children, 23 enjoy drawing, 19 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  19. 19.In a group of 23 children, 14 enjoy drawing, 6 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  20. 20.In a group of 49 children, 22 play chess, 22 play carrom and 7 play both. How many play neither of the two?
  21. 21.In a group of 36 children, 18 play chess, 20 play carrom and 10 play both. How many play exactly one of the two?
  22. 22.In a group of 30 children, 15 play cricket, 17 play football and 9 play both. How many play only football?
  23. 23.In a group of 41 grown-ups, 7 drink tea, 24 drink coffee and 4 drink both. How many drink only coffee?
  24. 24.In a group of 46 children, 19 play cricket, 16 play football and 2 play both. How many play neither of the two?
  25. 25.In a group of 40 children, 21 play chess, 14 play carrom and 6 play both. How many play neither of the two?
  26. 26.In a group of 38 children, 22 like mangoes, 11 like bananas and 4 like both. How many like neither of the two?
  27. 27.In a group of 43 children, 12 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing only English songs?
  28. 28.In a group of 30 children, 12 play cricket, 22 play football and 9 play both. How many play exactly one of the two?
  29. 29.In a group of 38 grown-ups, 6 drink tea, 20 drink coffee and 3 drink both. How many drink only coffee?
  30. 30.In a group of 34 children, 20 play chess, 6 play carrom and 3 play both. How many play at least one of the two?
  31. 31.In a group of 36 children, 23 enjoy drawing, 12 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  32. 32.In a group of 21 grown-ups, 9 drink tea, 12 drink coffee and 3 drink both. How many drink neither of the two?
  33. 33.In a group of 22 grown-ups, 12 drink tea, 12 drink coffee and 4 drink both. How many drink at least one of the two?
  34. 34.In a group of 47 children, 13 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  35. 35.In a group of 37 children, 21 sing Hindi songs, 13 sing English songs and 8 sing both. How many sing only English songs?
  36. 36.In a group of 35 children, 23 enjoy drawing, 17 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  37. 37.In a group of 32 children, 21 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  38. 38.In a group of 36 children, 20 sing Hindi songs, 12 sing English songs and 7 sing both. How many sing exactly one of the two?
  39. 39.In a group of 45 children, 25 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  40. 40.In a group of 20 children, 13 play chess, 9 play carrom and 3 play both. How many play only chess?

Answer key

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

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