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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 129 · 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 34 children, 21 sing Hindi songs, 18 sing English songs and 12 sing both. How many sing only English songs?
  2. 2.In a group of 54 grown-ups, 22 drink tea, 30 drink coffee and 10 drink both. How many drink exactly one of the two?
  3. 3.In a group of 35 children, 20 play cricket, 14 play football and 7 play both. How many play at least one of the two?
  4. 4.In a group of 27 children, 22 play chess, 10 play carrom and 7 play both. How many play only carrom?
  5. 5.In a group of 37 grown-ups, 12 drink tea, 20 drink coffee and 2 drink both. How many drink neither of the two?
  6. 6.In a group of 56 children, 26 enjoy drawing, 23 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  7. 7.In a group of 28 children, 20 sing Hindi songs, 9 sing English songs and 5 sing both. How many sing only English songs?
  8. 8.In a group of 48 children, 22 sing Hindi songs, 23 sing English songs and 7 sing both. How many sing only Hindi songs?
  9. 9.In a group of 17 children, 8 play chess, 5 play carrom and 2 play both. How many play only carrom?
  10. 10.In a group of 40 children, 19 play chess, 20 play carrom and 11 play both. How many play neither of the two?
  11. 11.In a group of 39 children, 16 sing Hindi songs, 29 sing English songs and 11 sing both. How many sing neither of the two?
  12. 12.In a group of 41 children, 11 play cricket, 26 play football and 6 play both. How many play exactly one of the two?
  13. 13.In a group of 30 children, 10 play chess, 21 play carrom and 3 play both. How many play only carrom?
  14. 14.In a group of 29 grown-ups, 15 drink tea, 12 drink coffee and 8 drink both. How many drink only coffee?
  15. 15.In a group of 48 children, 23 like mangoes, 17 like bananas and 5 like both. How many like only mangoes?
  16. 16.In a group of 28 children, 13 like mangoes, 18 like bananas and 10 like both. How many like at least one of the two?
  17. 17.In a group of 40 grown-ups, 24 drink tea, 9 drink coffee and 4 drink both. How many drink exactly one of the two?
  18. 18.In a group of 46 children, 23 play cricket, 24 play football and 10 play both. How many play exactly one of the two?
  19. 19.In a group of 29 children, 11 play cricket, 6 play football and 2 play both. How many play only cricket?
  20. 20.In a group of 30 children, 21 like mangoes, 6 like bananas and 3 like both. How many like at least one of the two?
  21. 21.In a group of 40 children, 19 play cricket, 19 play football and 12 play both. How many play only football?
  22. 22.In a group of 35 grown-ups, 19 drink tea, 13 drink coffee and 2 drink both. How many drink only tea?
  23. 23.In a group of 21 children, 8 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  24. 24.In a group of 17 children, 9 play chess, 10 play carrom and 6 play both. How many play only carrom?
  25. 25.In a group of 43 children, 23 play chess, 14 play carrom and 4 play both. How many play exactly one of the two?
  26. 26.In a group of 49 grown-ups, 16 drink tea, 27 drink coffee and 8 drink both. How many drink only coffee?
  27. 27.In a group of 26 children, 15 play chess, 14 play carrom and 11 play both. How many play at least one of the two?
  28. 28.In a group of 24 children, 7 like mangoes, 8 like bananas and 3 like both. How many like exactly one of the two?
  29. 29.In a group of 48 children, 24 play cricket, 17 play football and 6 play both. How many play only football?
  30. 30.In a group of 30 children, 11 sing Hindi songs, 18 sing English songs and 5 sing both. How many sing at least one of the two?
  31. 31.In a group of 31 grown-ups, 17 drink tea, 8 drink coffee and 3 drink both. How many drink only tea?
  32. 32.In a group of 40 grown-ups, 21 drink tea, 15 drink coffee and 8 drink both. How many drink only tea?
  33. 33.In a group of 30 children, 12 play cricket, 15 play football and 4 play both. How many play neither of the two?
  34. 34.In a group of 46 children, 20 enjoy drawing, 26 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  35. 35.In a group of 30 children, 14 play cricket, 12 play football and 8 play both. How many play at least one of the two?
  36. 36.In a group of 35 children, 15 like mangoes, 22 like bananas and 8 like both. How many like neither of the two?
  37. 37.In a group of 41 children, 17 enjoy drawing, 22 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 39 grown-ups, 17 drink tea, 28 drink coffee and 8 drink both. How many drink only tea?
  39. 39.In a group of 42 children, 26 enjoy drawing, 19 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 46 children, 19 play chess, 28 play carrom and 10 play both. How many play neither of the two?

Answer key

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

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