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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 392 · 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 50 children, 25 play cricket, 24 play football and 6 play both. How many play exactly one of the two?
  2. 2.In a group of 28 children, 13 sing Hindi songs, 12 sing English songs and 8 sing both. How many sing exactly one of the two?
  3. 3.In a group of 24 children, 15 enjoy drawing, 15 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  4. 4.In a group of 48 grown-ups, 25 drink tea, 29 drink coffee and 9 drink both. How many drink neither of the two?
  5. 5.In a group of 48 children, 21 sing Hindi songs, 18 sing English songs and 3 sing both. How many sing exactly one of the two?
  6. 6.In a group of 55 children, 30 like mangoes, 29 like bananas and 12 like both. How many like neither of the two?
  7. 7.In a group of 38 children, 19 like mangoes, 19 like bananas and 5 like both. How many like only bananas?
  8. 8.In a group of 43 children, 23 play chess, 8 play carrom and 3 play both. How many play only chess?
  9. 9.In a group of 36 children, 18 play cricket, 19 play football and 3 play both. How many play neither of the two?
  10. 10.In a group of 53 children, 27 play cricket, 29 play football and 12 play both. How many play at least one of the two?
  11. 11.In a group of 36 children, 19 enjoy drawing, 25 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  12. 12.In a group of 29 children, 17 play chess, 23 play carrom and 12 play both. How many play only chess?
  13. 13.In a group of 43 grown-ups, 19 drink tea, 25 drink coffee and 12 drink both. How many drink at least one of the two?
  14. 14.In a group of 32 grown-ups, 21 drink tea, 9 drink coffee and 6 drink both. How many drink at least one of the two?
  15. 15.In a group of 31 children, 19 play cricket, 9 play football and 5 play both. How many play neither of the two?
  16. 16.In a group of 39 children, 20 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  17. 17.In a group of 40 children, 27 sing Hindi songs, 17 sing English songs and 12 sing both. How many sing only Hindi songs?
  18. 18.In a group of 30 children, 23 sing Hindi songs, 11 sing English songs and 5 sing both. How many sing only English songs?
  19. 19.In a group of 38 children, 21 like mangoes, 18 like bananas and 7 like both. How many like at least one of the two?
  20. 20.In a group of 43 children, 18 play chess, 16 play carrom and 3 play both. How many play at least one of the two?
  21. 21.In a group of 35 children, 18 play cricket, 15 play football and 9 play both. How many play neither of the two?
  22. 22.In a group of 48 children, 28 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing exactly one of the two?
  23. 23.In a group of 33 children, 23 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing neither of the two?
  24. 24.In a group of 49 grown-ups, 22 drink tea, 16 drink coffee and 3 drink both. How many drink exactly one of the two?
  25. 25.In a group of 56 children, 26 sing Hindi songs, 23 sing English songs and 8 sing both. How many sing neither of the two?
  26. 26.In a group of 33 children, 11 sing Hindi songs, 24 sing English songs and 8 sing both. How many sing only English songs?
  27. 27.In a group of 47 grown-ups, 15 drink tea, 27 drink coffee and 7 drink both. How many drink at least one of the two?
  28. 28.In a group of 19 children, 15 like mangoes, 7 like bananas and 4 like both. How many like only bananas?
  29. 29.In a group of 29 grown-ups, 8 drink tea, 15 drink coffee and 2 drink both. How many drink exactly one of the two?
  30. 30.In a group of 29 grown-ups, 10 drink tea, 15 drink coffee and 5 drink both. How many drink only tea?
  31. 31.In a group of 43 grown-ups, 28 drink tea, 13 drink coffee and 9 drink both. How many drink neither of the two?
  32. 32.In a group of 30 children, 14 sing Hindi songs, 15 sing English songs and 9 sing both. How many sing only Hindi songs?
  33. 33.In a group of 35 children, 20 sing Hindi songs, 17 sing English songs and 10 sing both. How many sing only Hindi songs?
  34. 34.In a group of 29 children, 22 play cricket, 15 play football and 12 play both. How many play exactly one of the two?
  35. 35.In a group of 18 children, 7 like mangoes, 13 like bananas and 3 like both. How many like at least one of the two?
  36. 36.In a group of 24 children, 16 play chess, 9 play carrom and 3 play both. How many play neither of the two?
  37. 37.In a group of 37 children, 29 play cricket, 15 play football and 9 play both. How many play neither of the two?
  38. 38.In a group of 30 children, 20 sing Hindi songs, 16 sing English songs and 10 sing both. How many sing neither of the two?
  39. 39.In a group of 30 children, 16 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  40. 40.In a group of 44 children, 18 play cricket, 15 play football and 4 play both. How many play exactly one of the two?

Answer key

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

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