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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 10 · 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 31 children, 5 enjoy drawing, 15 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  2. 2.In a group of 34 children, 26 play chess, 17 play carrom and 11 play both. How many play at least one of the two?
  3. 3.In a group of 31 grown-ups, 11 drink tea, 13 drink coffee and 8 drink both. How many drink neither of the two?
  4. 4.In a group of 43 children, 19 enjoy drawing, 31 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 53 children, 25 sing Hindi songs, 28 sing English songs and 9 sing both. How many sing only English songs?
  6. 6.In a group of 43 children, 23 play cricket, 19 play football and 6 play both. How many play only football?
  7. 7.In a group of 36 grown-ups, 14 drink tea, 16 drink coffee and 9 drink both. How many drink exactly one of the two?
  8. 8.In a group of 32 children, 15 play cricket, 24 play football and 11 play both. How many play at least one of the two?
  9. 9.In a group of 34 children, 7 like mangoes, 21 like bananas and 2 like both. How many like neither of the two?
  10. 10.In a group of 56 children, 22 like mangoes, 23 like bananas and 3 like both. How many like at least one of the two?
  11. 11.In a group of 45 grown-ups, 23 drink tea, 23 drink coffee and 9 drink both. How many drink neither of the two?
  12. 12.In a group of 35 children, 24 play chess, 15 play carrom and 11 play both. How many play only chess?
  13. 13.In a group of 31 children, 16 play chess, 16 play carrom and 4 play both. How many play exactly one of the two?
  14. 14.In a group of 42 children, 24 play chess, 27 play carrom and 11 play both. How many play at least one of the two?
  15. 15.In a group of 31 children, 10 like mangoes, 10 like bananas and 4 like both. How many like neither of the two?
  16. 16.In a group of 29 children, 7 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  17. 17.In a group of 25 children, 13 play cricket, 21 play football and 10 play both. How many play exactly one of the two?
  18. 18.In a group of 39 children, 13 play cricket, 18 play football and 5 play both. How many play neither of the two?
  19. 19.In a group of 53 children, 23 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  20. 20.In a group of 29 children, 16 sing Hindi songs, 22 sing English songs and 10 sing both. How many sing only Hindi songs?
  21. 21.In a group of 19 children, 7 play chess, 12 play carrom and 2 play both. How many play only carrom?
  22. 22.In a group of 48 children, 23 play chess, 24 play carrom and 10 play both. How many play only chess?
  23. 23.In a group of 43 grown-ups, 19 drink tea, 22 drink coffee and 7 drink both. How many drink only coffee?
  24. 24.In a group of 38 children, 24 enjoy drawing, 24 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  25. 25.In a group of 44 children, 17 play cricket, 17 play football and 4 play both. How many play only football?
  26. 26.In a group of 30 children, 15 like mangoes, 11 like bananas and 6 like both. How many like at least one of the two?
  27. 27.In a group of 18 children, 13 play chess, 10 play carrom and 6 play both. How many play only chess?
  28. 28.In a group of 37 children, 20 like mangoes, 25 like bananas and 10 like both. How many like at least one of the two?
  29. 29.In a group of 33 children, 22 play cricket, 8 play football and 3 play both. How many play at least one of the two?
  30. 30.In a group of 36 children, 17 enjoy drawing, 18 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  31. 31.In a group of 45 children, 25 play cricket, 21 play football and 7 play both. How many play exactly one of the two?
  32. 32.In a group of 48 children, 21 play chess, 24 play carrom and 12 play both. How many play exactly one of the two?
  33. 33.In a group of 40 children, 25 enjoy drawing, 19 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 36 grown-ups, 21 drink tea, 22 drink coffee and 10 drink both. How many drink exactly one of the two?
  35. 35.In a group of 41 children, 29 enjoy drawing, 18 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 51 children, 22 enjoy drawing, 31 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  37. 37.In a group of 40 children, 19 play cricket, 9 play football and 3 play both. How many play neither of the two?
  38. 38.In a group of 42 children, 17 sing Hindi songs, 29 sing English songs and 9 sing both. How many sing at least one of the two?
  39. 39.In a group of 35 children, 18 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 40 children, 18 like mangoes, 25 like bananas and 11 like both. How many like exactly one of the two?

Answer key

  1. 13
  2. 32
  3. 15
  4. 7
  5. 19
  6. 13
  7. 12
  8. 28
  9. 8
  10. 42
  11. 8
  12. 13
  13. 24
  14. 40
  15. 15
  16. 4
  17. 14
  18. 13
  19. 41
  20. 6
  21. 10
  22. 13
  23. 15
  24. 1
  25. 13
  26. 20
  27. 7
  28. 35
  29. 27
  30. 27
  31. 32
  32. 21
  33. 20
  34. 23
  35. 20
  36. 9
  37. 15
  38. 37
  39. 7
  40. 21

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