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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 85 · 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 38 children, 22 play cricket, 13 play football and 5 play both. How many play only cricket?
  2. 2.In a group of 54 children, 24 play chess, 20 play carrom and 4 play both. How many play only chess?
  3. 3.In a group of 46 children, 20 sing Hindi songs, 20 sing English songs and 6 sing both. How many sing only English songs?
  4. 4.In a group of 47 children, 30 play cricket, 17 play football and 12 play both. How many play exactly one of the two?
  5. 5.In a group of 32 children, 11 like mangoes, 24 like bananas and 5 like both. How many like exactly one of the two?
  6. 6.In a group of 33 children, 12 like mangoes, 19 like bananas and 6 like both. How many like exactly one of the two?
  7. 7.In a group of 34 children, 15 sing Hindi songs, 18 sing English songs and 2 sing both. How many sing only Hindi songs?
  8. 8.In a group of 20 grown-ups, 14 drink tea, 6 drink coffee and 3 drink both. How many drink neither of the two?
  9. 9.In a group of 32 children, 21 play cricket, 11 play football and 3 play both. How many play neither of the two?
  10. 10.In a group of 35 children, 17 like mangoes, 26 like bananas and 10 like both. How many like neither of the two?
  11. 11.In a group of 25 grown-ups, 18 drink tea, 8 drink coffee and 5 drink both. How many drink neither of the two?
  12. 12.In a group of 37 grown-ups, 17 drink tea, 25 drink coffee and 9 drink both. How many drink at least one of the two?
  13. 13.In a group of 21 children, 13 play chess, 11 play carrom and 6 play both. How many play only carrom?
  14. 14.In a group of 31 children, 14 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing only Hindi songs?
  15. 15.In a group of 41 children, 20 play chess, 18 play carrom and 5 play both. How many play neither of the two?
  16. 16.In a group of 40 children, 16 enjoy drawing, 25 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  17. 17.In a group of 33 children, 16 sing Hindi songs, 20 sing English songs and 12 sing both. How many sing exactly one of the two?
  18. 18.In a group of 44 children, 24 like mangoes, 21 like bananas and 8 like both. How many like neither of the two?
  19. 19.In a group of 43 children, 16 enjoy drawing, 17 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  20. 20.In a group of 18 children, 14 play cricket, 9 play football and 6 play both. How many play at least one of the two?
  21. 21.In a group of 37 children, 18 play cricket, 29 play football and 12 play both. How many play exactly one of the two?
  22. 22.In a group of 33 children, 28 play chess, 13 play carrom and 9 play both. How many play only chess?
  23. 23.In a group of 42 children, 24 play chess, 24 play carrom and 7 play both. How many play only carrom?
  24. 24.In a group of 22 children, 13 enjoy drawing, 15 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 43 children, 22 sing Hindi songs, 24 sing English songs and 5 sing both. How many sing exactly one of the two?
  26. 26.In a group of 43 children, 16 sing Hindi songs, 25 sing English songs and 9 sing both. How many sing neither of the two?
  27. 27.In a group of 47 children, 15 like mangoes, 26 like bananas and 8 like both. How many like only mangoes?
  28. 28.In a group of 45 children, 23 play cricket, 24 play football and 4 play both. How many play only football?
  29. 29.In a group of 34 grown-ups, 21 drink tea, 11 drink coffee and 5 drink both. How many drink exactly one of the two?
  30. 30.In a group of 29 children, 15 enjoy drawing, 20 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  31. 31.In a group of 38 children, 22 play cricket, 26 play football and 12 play both. How many play only football?
  32. 32.In a group of 32 children, 19 play cricket, 24 play football and 12 play both. How many play neither of the two?
  33. 33.In a group of 28 grown-ups, 13 drink tea, 12 drink coffee and 4 drink both. How many drink exactly one of the two?
  34. 34.In a group of 45 children, 17 like mangoes, 26 like bananas and 7 like both. How many like at least one of the two?
  35. 35.In a group of 32 children, 17 like mangoes, 7 like bananas and 3 like both. How many like at least one of the two?
  36. 36.In a group of 51 children, 22 sing Hindi songs, 18 sing English songs and 4 sing both. How many sing only English songs?
  37. 37.In a group of 31 children, 25 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing only English songs?
  38. 38.In a group of 43 grown-ups, 29 drink tea, 22 drink coffee and 9 drink both. How many drink at least one of the two?
  39. 39.In a group of 39 children, 26 play chess, 19 play carrom and 7 play both. How many play only carrom?
  40. 40.In a group of 32 grown-ups, 21 drink tea, 16 drink coffee and 9 drink both. How many drink only tea?

Answer key

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

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