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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 218 · 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 35 children, 21 play cricket, 13 play football and 3 play both. How many play only cricket?
  2. 2.In a group of 46 children, 28 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  3. 3.In a group of 30 children, 22 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 52 children, 17 enjoy drawing, 23 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  5. 5.In a group of 45 grown-ups, 24 drink tea, 29 drink coffee and 9 drink both. How many drink neither of the two?
  6. 6.In a group of 32 children, 11 play chess, 16 play carrom and 6 play both. How many play only carrom?
  7. 7.In a group of 32 children, 15 sing Hindi songs, 25 sing English songs and 10 sing both. How many sing only Hindi songs?
  8. 8.In a group of 41 children, 22 sing Hindi songs, 24 sing English songs and 11 sing both. How many sing exactly one of the two?
  9. 9.In a group of 38 children, 18 play chess, 20 play carrom and 5 play both. How many play only chess?
  10. 10.In a group of 50 children, 27 play chess, 25 play carrom and 8 play both. How many play exactly one of the two?
  11. 11.In a group of 37 children, 17 play cricket, 11 play football and 5 play both. How many play only football?
  12. 12.In a group of 47 children, 15 play cricket, 20 play football and 3 play both. How many play at least one of the two?
  13. 13.In a group of 40 children, 12 like mangoes, 27 like bananas and 8 like both. How many like only bananas?
  14. 14.In a group of 40 children, 28 play chess, 22 play carrom and 12 play both. How many play exactly one of the two?
  15. 15.In a group of 42 children, 16 play chess, 24 play carrom and 5 play both. How many play only chess?
  16. 16.In a group of 39 children, 8 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing at least one of the two?
  17. 17.In a group of 39 children, 23 sing Hindi songs, 13 sing English songs and 5 sing both. How many sing neither of the two?
  18. 18.In a group of 32 children, 15 enjoy drawing, 12 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  19. 19.In a group of 24 children, 16 enjoy drawing, 7 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  20. 20.In a group of 32 grown-ups, 15 drink tea, 11 drink coffee and 8 drink both. How many drink exactly one of the two?
  21. 21.In a group of 18 children, 12 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  22. 22.In a group of 51 children, 28 enjoy drawing, 22 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  23. 23.In a group of 47 children, 28 enjoy drawing, 19 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  24. 24.In a group of 33 children, 14 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing only English songs?
  25. 25.In a group of 52 grown-ups, 27 drink tea, 22 drink coffee and 11 drink both. How many drink exactly one of the two?
  26. 26.In a group of 46 children, 25 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing only Hindi songs?
  27. 27.In a group of 27 children, 13 like mangoes, 14 like bananas and 7 like both. How many like only bananas?
  28. 28.In a group of 35 children, 10 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing at least one of the two?
  29. 29.In a group of 45 children, 24 play cricket, 17 play football and 11 play both. How many play at least one of the two?
  30. 30.In a group of 20 children, 14 play chess, 8 play carrom and 4 play both. How many play neither of the two?
  31. 31.In a group of 42 children, 22 play cricket, 26 play football and 11 play both. How many play exactly one of the two?
  32. 32.In a group of 33 children, 21 play chess, 6 play carrom and 3 play both. How many play only carrom?
  33. 33.In a group of 41 children, 23 sing Hindi songs, 21 sing English songs and 9 sing both. How many sing only English songs?
  34. 34.In a group of 32 children, 16 play cricket, 17 play football and 4 play both. How many play only cricket?
  35. 35.In a group of 50 children, 21 play chess, 22 play carrom and 5 play both. How many play at least one of the two?
  36. 36.In a group of 38 children, 21 sing Hindi songs, 22 sing English songs and 7 sing both. How many sing at least one of the two?
  37. 37.In a group of 45 children, 23 like mangoes, 21 like bananas and 4 like both. How many like only bananas?
  38. 38.In a group of 26 children, 17 enjoy drawing, 16 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 40 children, 13 enjoy drawing, 27 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 42 children, 29 sing Hindi songs, 14 sing English songs and 10 sing both. How many sing at least one of the two?

Answer key

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

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