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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 594 · 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 21 children, 14 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing neither of the two?
  2. 2.In a group of 40 grown-ups, 19 drink tea, 15 drink coffee and 3 drink both. How many drink neither of the two?
  3. 3.In a group of 38 children, 16 play cricket, 26 play football and 8 play both. How many play neither of the two?
  4. 4.In a group of 32 children, 14 like mangoes, 26 like bananas and 11 like both. How many like only mangoes?
  5. 5.In a group of 20 children, 11 like mangoes, 11 like bananas and 7 like both. How many like only mangoes?
  6. 6.In a group of 35 children, 27 sing Hindi songs, 12 sing English songs and 9 sing both. How many sing neither of the two?
  7. 7.In a group of 50 grown-ups, 32 drink tea, 28 drink coffee and 12 drink both. How many drink at least one of the two?
  8. 8.In a group of 32 children, 18 play cricket, 15 play football and 5 play both. How many play neither of the two?
  9. 9.In a group of 31 children, 12 sing Hindi songs, 13 sing English songs and 6 sing both. How many sing neither of the two?
  10. 10.In a group of 29 children, 14 play cricket, 10 play football and 2 play both. How many play neither of the two?
  11. 11.In a group of 43 children, 18 sing Hindi songs, 25 sing English songs and 12 sing both. How many sing neither of the two?
  12. 12.In a group of 39 children, 27 like mangoes, 18 like bananas and 7 like both. How many like only bananas?
  13. 13.In a group of 48 children, 18 enjoy drawing, 26 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 48 children, 24 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing at least one of the two?
  15. 15.In a group of 32 grown-ups, 10 drink tea, 14 drink coffee and 5 drink both. How many drink at least one of the two?
  16. 16.In a group of 41 children, 18 play chess, 14 play carrom and 3 play both. How many play neither of the two?
  17. 17.In a group of 49 children, 28 play cricket, 26 play football and 8 play both. How many play exactly one of the two?
  18. 18.In a group of 34 children, 12 play chess, 27 play carrom and 9 play both. How many play only chess?
  19. 19.In a group of 39 grown-ups, 19 drink tea, 17 drink coffee and 12 drink both. How many drink only tea?
  20. 20.In a group of 48 children, 17 like mangoes, 22 like bananas and 2 like both. How many like only bananas?
  21. 21.In a group of 40 grown-ups, 23 drink tea, 15 drink coffee and 8 drink both. How many drink only coffee?
  22. 22.In a group of 21 grown-ups, 10 drink tea, 11 drink coffee and 3 drink both. How many drink neither of the two?
  23. 23.In a group of 45 grown-ups, 24 drink tea, 31 drink coffee and 12 drink both. How many drink only tea?
  24. 24.In a group of 36 children, 19 play chess, 17 play carrom and 10 play both. How many play exactly one of the two?
  25. 25.In a group of 42 grown-ups, 20 drink tea, 30 drink coffee and 11 drink both. How many drink neither of the two?
  26. 26.In a group of 24 children, 10 play chess, 11 play carrom and 3 play both. How many play only carrom?
  27. 27.In a group of 18 grown-ups, 10 drink tea, 11 drink coffee and 7 drink both. How many drink only coffee?
  28. 28.In a group of 33 children, 16 play chess, 23 play carrom and 11 play both. How many play exactly one of the two?
  29. 29.In a group of 22 children, 7 play cricket, 17 play football and 3 play both. How many play exactly one of the two?
  30. 30.In a group of 40 children, 25 play chess, 19 play carrom and 7 play both. How many play only carrom?
  31. 31.In a group of 37 children, 22 play chess, 18 play carrom and 8 play both. How many play only chess?
  32. 32.In a group of 51 children, 23 play chess, 27 play carrom and 8 play both. How many play neither of the two?
  33. 33.In a group of 31 children, 16 like mangoes, 20 like bananas and 10 like both. How many like neither of the two?
  34. 34.In a group of 24 children, 10 enjoy drawing, 16 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  35. 35.In a group of 41 children, 18 sing Hindi songs, 13 sing English songs and 4 sing both. How many sing at least one of the two?
  36. 36.In a group of 22 children, 14 sing Hindi songs, 16 sing English songs and 11 sing both. How many sing only English songs?
  37. 37.In a group of 52 children, 30 play chess, 22 play carrom and 11 play both. How many play at least one of the two?
  38. 38.In a group of 47 children, 14 play chess, 31 play carrom and 11 play both. How many play at least one of the two?
  39. 39.In a group of 34 children, 13 play chess, 21 play carrom and 5 play both. How many play neither of the two?
  40. 40.In a group of 41 children, 8 enjoy drawing, 21 enjoy dancing and 2 enjoy both. How many enjoy only dancing?

Answer key

  1. 2
  2. 9
  3. 4
  4. 3
  5. 4
  6. 5
  7. 48
  8. 4
  9. 12
  10. 7
  11. 12
  12. 11
  13. 34
  14. 34
  15. 19
  16. 12
  17. 38
  18. 3
  19. 7
  20. 20
  21. 7
  22. 3
  23. 12
  24. 16
  25. 3
  26. 8
  27. 4
  28. 17
  29. 18
  30. 12
  31. 14
  32. 9
  33. 5
  34. 4
  35. 27
  36. 5
  37. 41
  38. 34
  39. 5
  40. 19

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