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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 471 · 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 43 children, 12 play chess, 24 play carrom and 7 play both. How many play only chess?
  2. 2.In a group of 41 children, 21 play cricket, 23 play football and 5 play both. How many play at least one of the two?
  3. 3.In a group of 47 grown-ups, 19 drink tea, 15 drink coffee and 2 drink both. How many drink neither of the two?
  4. 4.In a group of 24 children, 8 play cricket, 8 play football and 4 play both. How many play neither of the two?
  5. 5.In a group of 30 children, 24 play cricket, 15 play football and 10 play both. How many play exactly one of the two?
  6. 6.In a group of 24 children, 18 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing only English songs?
  7. 7.In a group of 57 children, 31 like mangoes, 31 like bananas and 12 like both. How many like only bananas?
  8. 8.In a group of 38 children, 19 play cricket, 23 play football and 11 play both. How many play neither of the two?
  9. 9.In a group of 40 children, 18 play chess, 21 play carrom and 12 play both. How many play exactly one of the two?
  10. 10.In a group of 31 grown-ups, 16 drink tea, 13 drink coffee and 4 drink both. How many drink only coffee?
  11. 11.In a group of 34 grown-ups, 25 drink tea, 11 drink coffee and 8 drink both. How many drink exactly one of the two?
  12. 12.In a group of 34 children, 28 play chess, 14 play carrom and 11 play both. How many play only chess?
  13. 13.In a group of 33 children, 17 like mangoes, 23 like bananas and 12 like both. How many like exactly one of the two?
  14. 14.In a group of 35 children, 22 play cricket, 19 play football and 9 play both. How many play at least one of the two?
  15. 15.In a group of 33 grown-ups, 14 drink tea, 18 drink coffee and 8 drink both. How many drink neither of the two?
  16. 16.In a group of 29 children, 14 play cricket, 6 play football and 2 play both. How many play only cricket?
  17. 17.In a group of 43 children, 18 sing Hindi songs, 13 sing English songs and 3 sing both. How many sing only Hindi songs?
  18. 18.In a group of 24 children, 9 like mangoes, 10 like bananas and 3 like both. How many like exactly one of the two?
  19. 19.In a group of 24 children, 11 enjoy drawing, 10 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  20. 20.In a group of 30 children, 7 play cricket, 19 play football and 4 play both. How many play only football?
  21. 21.In a group of 46 children, 31 enjoy drawing, 22 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  22. 22.In a group of 35 children, 20 enjoy drawing, 20 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 24 grown-ups, 15 drink tea, 15 drink coffee and 10 drink both. How many drink exactly one of the two?
  24. 24.In a group of 40 children, 10 play chess, 25 play carrom and 6 play both. How many play neither of the two?
  25. 25.In a group of 50 children, 23 play chess, 23 play carrom and 3 play both. How many play neither of the two?
  26. 26.In a group of 36 children, 17 enjoy drawing, 28 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  27. 27.In a group of 54 children, 29 enjoy drawing, 28 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  28. 28.In a group of 28 children, 15 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 28 children, 18 sing Hindi songs, 15 sing English songs and 7 sing both. How many sing at least one of the two?
  30. 30.In a group of 34 children, 15 play chess, 18 play carrom and 3 play both. How many play only chess?
  31. 31.In a group of 33 grown-ups, 18 drink tea, 14 drink coffee and 2 drink both. How many drink only tea?
  32. 32.In a group of 18 children, 8 play chess, 5 play carrom and 2 play both. How many play only carrom?
  33. 33.In a group of 47 children, 27 play cricket, 17 play football and 11 play both. How many play at least one of the two?
  34. 34.In a group of 57 children, 25 enjoy drawing, 22 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  35. 35.In a group of 42 children, 25 play chess, 24 play carrom and 8 play both. How many play neither of the two?
  36. 36.In a group of 30 children, 25 like mangoes, 11 like bananas and 8 like both. How many like only bananas?
  37. 37.In a group of 30 grown-ups, 16 drink tea, 20 drink coffee and 8 drink both. How many drink only tea?
  38. 38.In a group of 19 grown-ups, 9 drink tea, 9 drink coffee and 2 drink both. How many drink only tea?
  39. 39.In a group of 28 children, 18 sing Hindi songs, 12 sing English songs and 8 sing both. How many sing neither of the two?
  40. 40.In a group of 32 grown-ups, 14 drink tea, 25 drink coffee and 9 drink both. How many drink exactly one of the two?

Answer key

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

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