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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 633 · 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 children, 7 play chess, 20 play carrom and 4 play both. How many play only chess?
  2. 2.In a group of 27 children, 19 play cricket, 8 play football and 5 play both. How many play only football?
  3. 3.In a group of 45 children, 26 like mangoes, 11 like bananas and 7 like both. How many like neither of the two?
  4. 4.In a group of 53 children, 18 play chess, 27 play carrom and 7 play both. How many play only chess?
  5. 5.In a group of 39 children, 18 play cricket, 14 play football and 3 play both. How many play only football?
  6. 6.In a group of 36 children, 28 play cricket, 13 play football and 8 play both. How many play only football?
  7. 7.In a group of 54 children, 25 play chess, 28 play carrom and 8 play both. How many play at least one of the two?
  8. 8.In a group of 49 grown-ups, 26 drink tea, 29 drink coffee and 10 drink both. How many drink only coffee?
  9. 9.In a group of 41 children, 15 play cricket, 14 play football and 2 play both. How many play neither of the two?
  10. 10.In a group of 40 children, 26 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing only Hindi songs?
  11. 11.In a group of 35 children, 21 like mangoes, 18 like bananas and 5 like both. How many like exactly one of the two?
  12. 12.In a group of 20 grown-ups, 12 drink tea, 10 drink coffee and 5 drink both. How many drink only tea?
  13. 13.In a group of 38 children, 20 sing Hindi songs, 15 sing English songs and 9 sing both. How many sing only English songs?
  14. 14.In a group of 37 children, 16 like mangoes, 15 like bananas and 4 like both. How many like only mangoes?
  15. 15.In a group of 30 children, 7 play cricket, 17 play football and 4 play both. How many play at least one of the two?
  16. 16.In a group of 37 children, 15 sing Hindi songs, 20 sing English songs and 10 sing both. How many sing only Hindi songs?
  17. 17.In a group of 47 children, 20 play cricket, 27 play football and 7 play both. How many play neither of the two?
  18. 18.In a group of 19 children, 10 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  19. 19.In a group of 33 children, 19 like mangoes, 12 like bananas and 2 like both. How many like at least one of the two?
  20. 20.In a group of 36 children, 19 enjoy drawing, 14 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  21. 21.In a group of 25 children, 13 like mangoes, 11 like bananas and 2 like both. How many like at least one of the two?
  22. 22.In a group of 38 children, 28 enjoy drawing, 16 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 34 children, 14 like mangoes, 17 like bananas and 2 like both. How many like only mangoes?
  24. 24.In a group of 37 children, 14 sing Hindi songs, 20 sing English songs and 8 sing both. How many sing exactly one of the two?
  25. 25.In a group of 26 children, 13 like mangoes, 19 like bananas and 10 like both. How many like only bananas?
  26. 26.In a group of 30 children, 10 play chess, 8 play carrom and 2 play both. How many play only carrom?
  27. 27.In a group of 50 grown-ups, 23 drink tea, 30 drink coffee and 12 drink both. How many drink at least one of the two?
  28. 28.In a group of 32 children, 19 like mangoes, 16 like bananas and 9 like both. How many like only mangoes?
  29. 29.In a group of 39 children, 14 play cricket, 22 play football and 9 play both. How many play at least one of the two?
  30. 30.In a group of 48 children, 22 play chess, 21 play carrom and 6 play both. How many play at least one of the two?
  31. 31.In a group of 44 children, 21 play chess, 28 play carrom and 12 play both. How many play exactly one of the two?
  32. 32.In a group of 29 grown-ups, 12 drink tea, 13 drink coffee and 3 drink both. How many drink at least one of the two?
  33. 33.In a group of 48 grown-ups, 21 drink tea, 17 drink coffee and 3 drink both. How many drink at least one of the two?
  34. 34.In a group of 48 children, 31 sing Hindi songs, 15 sing English songs and 11 sing both. How many sing at least one of the two?
  35. 35.In a group of 58 children, 25 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 26 children, 9 play chess, 14 play carrom and 6 play both. How many play only chess?
  37. 37.In a group of 23 children, 11 play cricket, 19 play football and 8 play both. How many play only cricket?
  38. 38.In a group of 32 children, 15 play cricket, 16 play football and 12 play both. How many play at least one of the two?
  39. 39.In a group of 54 children, 25 enjoy drawing, 29 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 24 children, 16 play cricket, 8 play football and 2 play both. How many play only cricket?

Answer key

  1. 3
  2. 3
  3. 15
  4. 11
  5. 11
  6. 5
  7. 45
  8. 19
  9. 14
  10. 14
  11. 29
  12. 7
  13. 6
  14. 12
  15. 20
  16. 5
  17. 7
  18. 6
  19. 29
  20. 21
  21. 22
  22. 20
  23. 12
  24. 18
  25. 9
  26. 6
  27. 41
  28. 10
  29. 27
  30. 37
  31. 25
  32. 22
  33. 35
  34. 35
  35. 44
  36. 3
  37. 3
  38. 19
  39. 16
  40. 14

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