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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 468 · 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 30 children, 11 play chess, 21 play carrom and 5 play both. How many play only carrom?
  2. 2.In a group of 38 children, 21 like mangoes, 16 like bananas and 11 like both. How many like only bananas?
  3. 3.In a group of 30 children, 20 like mangoes, 14 like bananas and 9 like both. How many like exactly one of the two?
  4. 4.In a group of 25 children, 10 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing only Hindi songs?
  5. 5.In a group of 42 children, 14 play cricket, 20 play football and 3 play both. How many play only football?
  6. 6.In a group of 46 grown-ups, 12 drink tea, 23 drink coffee and 3 drink both. How many drink exactly one of the two?
  7. 7.In a group of 34 children, 18 like mangoes, 14 like bananas and 11 like both. How many like neither of the two?
  8. 8.In a group of 32 children, 24 enjoy drawing, 17 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  9. 9.In a group of 29 children, 8 enjoy drawing, 23 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  10. 10.In a group of 47 children, 19 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing at least one of the two?
  11. 11.In a group of 34 children, 11 play cricket, 19 play football and 3 play both. How many play only cricket?
  12. 12.In a group of 45 grown-ups, 13 drink tea, 22 drink coffee and 4 drink both. How many drink only coffee?
  13. 13.In a group of 43 children, 23 sing Hindi songs, 20 sing English songs and 7 sing both. How many sing only Hindi songs?
  14. 14.In a group of 40 children, 18 play chess, 12 play carrom and 5 play both. How many play exactly one of the two?
  15. 15.In a group of 33 children, 14 play cricket, 14 play football and 3 play both. How many play exactly one of the two?
  16. 16.In a group of 24 children, 12 like mangoes, 11 like bananas and 4 like both. How many like only bananas?
  17. 17.In a group of 47 children, 28 enjoy drawing, 23 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  18. 18.In a group of 27 grown-ups, 21 drink tea, 9 drink coffee and 5 drink both. How many drink neither of the two?
  19. 19.In a group of 37 children, 25 play cricket, 14 play football and 5 play both. How many play exactly one of the two?
  20. 20.In a group of 35 children, 15 like mangoes, 14 like bananas and 2 like both. How many like at least one of the two?
  21. 21.In a group of 27 children, 5 enjoy drawing, 16 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  22. 22.In a group of 25 grown-ups, 15 drink tea, 9 drink coffee and 4 drink both. How many drink only coffee?
  23. 23.In a group of 40 children, 14 play cricket, 19 play football and 3 play both. How many play only cricket?
  24. 24.In a group of 39 children, 22 enjoy drawing, 12 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  25. 25.In a group of 49 children, 28 enjoy drawing, 20 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 38 grown-ups, 18 drink tea, 23 drink coffee and 6 drink both. How many drink neither of the two?
  27. 27.In a group of 25 children, 18 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  28. 28.In a group of 33 children, 12 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing neither of the two?
  29. 29.In a group of 23 grown-ups, 11 drink tea, 16 drink coffee and 8 drink both. How many drink only coffee?
  30. 30.In a group of 48 children, 23 like mangoes, 25 like bananas and 7 like both. How many like at least one of the two?
  31. 31.In a group of 12 children, 5 play cricket, 7 play football and 2 play both. How many play at least one of the two?
  32. 32.In a group of 41 children, 19 play cricket, 20 play football and 12 play both. How many play only cricket?
  33. 33.In a group of 32 children, 17 sing Hindi songs, 18 sing English songs and 12 sing both. How many sing only English songs?
  34. 34.In a group of 39 children, 17 sing Hindi songs, 29 sing English songs and 10 sing both. How many sing at least one of the two?
  35. 35.In a group of 33 children, 20 play cricket, 16 play football and 10 play both. How many play only football?
  36. 36.In a group of 41 children, 23 like mangoes, 19 like bananas and 10 like both. How many like only bananas?
  37. 37.In a group of 33 children, 17 like mangoes, 5 like bananas and 2 like both. How many like neither of the two?
  38. 38.In a group of 31 children, 13 play chess, 14 play carrom and 4 play both. How many play at least one of the two?
  39. 39.In a group of 56 children, 29 play chess, 28 play carrom and 12 play both. How many play only chess?
  40. 40.In a group of 52 grown-ups, 29 drink tea, 25 drink coffee and 11 drink both. How many drink neither of the two?

Answer key

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

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