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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 331 · 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, 16 play cricket, 21 play football and 11 play both. How many play neither of the two?
  2. 2.In a group of 34 children, 12 like mangoes, 14 like bananas and 4 like both. How many like neither of the two?
  3. 3.In a group of 47 children, 20 enjoy drawing, 22 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 45 children, 22 sing Hindi songs, 28 sing English songs and 8 sing both. How many sing only Hindi songs?
  5. 5.In a group of 27 grown-ups, 21 drink tea, 12 drink coffee and 8 drink both. How many drink neither of the two?
  6. 6.In a group of 42 children, 23 enjoy drawing, 21 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  7. 7.In a group of 47 children, 24 play cricket, 13 play football and 4 play both. How many play exactly one of the two?
  8. 8.In a group of 34 children, 15 enjoy drawing, 26 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  9. 9.In a group of 43 children, 15 sing Hindi songs, 21 sing English songs and 6 sing both. How many sing only English songs?
  10. 10.In a group of 21 children, 8 play cricket, 11 play football and 3 play both. How many play only cricket?
  11. 11.In a group of 49 children, 17 play cricket, 26 play football and 6 play both. How many play only cricket?
  12. 12.In a group of 43 grown-ups, 21 drink tea, 24 drink coffee and 5 drink both. How many drink at least one of the two?
  13. 13.In a group of 56 children, 28 play chess, 28 play carrom and 8 play both. How many play exactly one of the two?
  14. 14.In a group of 41 children, 20 play cricket, 23 play football and 8 play both. How many play only football?
  15. 15.In a group of 36 children, 19 play cricket, 17 play football and 9 play both. How many play only cricket?
  16. 16.In a group of 30 children, 16 enjoy drawing, 19 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  17. 17.In a group of 39 children, 27 play chess, 16 play carrom and 10 play both. How many play neither of the two?
  18. 18.In a group of 23 children, 7 play chess, 8 play carrom and 3 play both. How many play exactly one of the two?
  19. 19.In a group of 44 children, 9 play chess, 26 play carrom and 6 play both. How many play only carrom?
  20. 20.In a group of 37 children, 22 play chess, 24 play carrom and 11 play both. How many play only chess?
  21. 21.In a group of 53 children, 22 play cricket, 24 play football and 4 play both. How many play neither of the two?
  22. 22.In a group of 39 children, 24 sing Hindi songs, 20 sing English songs and 7 sing both. How many sing only Hindi songs?
  23. 23.In a group of 37 grown-ups, 19 drink tea, 19 drink coffee and 7 drink both. How many drink neither of the two?
  24. 24.In a group of 33 children, 22 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  25. 25.In a group of 33 children, 16 enjoy drawing, 13 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 33 children, 13 play cricket, 20 play football and 3 play both. How many play at least one of the two?
  27. 27.In a group of 34 children, 12 enjoy drawing, 18 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  28. 28.In a group of 18 children, 13 play chess, 13 play carrom and 10 play both. How many play only chess?
  29. 29.In a group of 23 children, 15 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  30. 30.In a group of 41 children, 19 sing Hindi songs, 27 sing English songs and 12 sing both. How many sing only Hindi songs?
  31. 31.In a group of 26 children, 8 play chess, 7 play carrom and 4 play both. How many play at least one of the two?
  32. 32.In a group of 24 children, 18 like mangoes, 9 like bananas and 4 like both. How many like at least one of the two?
  33. 33.In a group of 46 grown-ups, 27 drink tea, 26 drink coffee and 10 drink both. How many drink only coffee?
  34. 34.In a group of 42 children, 30 play cricket, 18 play football and 12 play both. How many play only cricket?
  35. 35.In a group of 37 children, 22 play cricket, 13 play football and 3 play both. How many play only cricket?
  36. 36.In a group of 44 children, 19 enjoy drawing, 20 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 36 children, 8 like mangoes, 17 like bananas and 4 like both. How many like only mangoes?
  38. 38.In a group of 35 grown-ups, 11 drink tea, 20 drink coffee and 6 drink both. How many drink at least one of the two?
  39. 39.In a group of 53 children, 26 play cricket, 25 play football and 8 play both. How many play exactly one of the two?
  40. 40.In a group of 44 children, 32 play chess, 16 play carrom and 12 play both. How many play neither of the two?

Answer key

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

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