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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 187 · 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 36 children, 20 sing Hindi songs, 10 sing English songs and 3 sing both. How many sing only Hindi songs?
  2. 2.In a group of 32 children, 23 play cricket, 12 play football and 7 play both. How many play only football?
  3. 3.In a group of 38 children, 23 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing neither of the two?
  4. 4.In a group of 45 grown-ups, 14 drink tea, 24 drink coffee and 6 drink both. How many drink only tea?
  5. 5.In a group of 29 children, 21 play cricket, 6 play football and 2 play both. How many play exactly one of the two?
  6. 6.In a group of 46 children, 28 sing Hindi songs, 12 sing English songs and 8 sing both. How many sing only Hindi songs?
  7. 7.In a group of 41 children, 15 sing Hindi songs, 15 sing English songs and 2 sing both. How many sing exactly one of the two?
  8. 8.In a group of 27 children, 19 like mangoes, 10 like bananas and 5 like both. How many like only mangoes?
  9. 9.In a group of 48 children, 27 enjoy drawing, 25 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  10. 10.In a group of 39 children, 18 enjoy drawing, 23 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  11. 11.In a group of 13 grown-ups, 9 drink tea, 6 drink coffee and 3 drink both. How many drink only coffee?
  12. 12.In a group of 49 children, 21 sing Hindi songs, 28 sing English songs and 9 sing both. How many sing at least one of the two?
  13. 13.In a group of 42 children, 17 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  14. 14.In a group of 32 children, 15 like mangoes, 8 like bananas and 5 like both. How many like exactly one of the two?
  15. 15.In a group of 38 children, 20 like mangoes, 6 like bananas and 2 like both. How many like at least one of the two?
  16. 16.In a group of 32 grown-ups, 13 drink tea, 21 drink coffee and 10 drink both. How many drink exactly one of the two?
  17. 17.In a group of 37 children, 9 play cricket, 22 play football and 4 play both. How many play neither of the two?
  18. 18.In a group of 20 children, 7 play chess, 13 play carrom and 3 play both. How many play at least one of the two?
  19. 19.In a group of 41 grown-ups, 15 drink tea, 21 drink coffee and 2 drink both. How many drink exactly one of the two?
  20. 20.In a group of 32 grown-ups, 26 drink tea, 14 drink coffee and 9 drink both. How many drink only coffee?
  21. 21.In a group of 31 children, 21 play cricket, 13 play football and 7 play both. How many play only cricket?
  22. 22.In a group of 40 children, 24 play cricket, 9 play football and 6 play both. How many play at least one of the two?
  23. 23.In a group of 52 children, 19 enjoy drawing, 29 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 46 grown-ups, 16 drink tea, 24 drink coffee and 8 drink both. How many drink only tea?
  25. 25.In a group of 31 children, 10 play cricket, 22 play football and 5 play both. How many play only cricket?
  26. 26.In a group of 23 children, 8 play chess, 8 play carrom and 5 play both. How many play only chess?
  27. 27.In a group of 40 children, 20 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  28. 28.In a group of 34 children, 21 play cricket, 10 play football and 7 play both. How many play neither of the two?
  29. 29.In a group of 37 children, 15 play chess, 30 play carrom and 11 play both. How many play only chess?
  30. 30.In a group of 39 children, 17 like mangoes, 28 like bananas and 10 like both. How many like neither of the two?
  31. 31.In a group of 22 children, 13 play chess, 9 play carrom and 6 play both. How many play only chess?
  32. 32.In a group of 16 children, 8 enjoy drawing, 9 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  33. 33.In a group of 30 children, 8 play chess, 12 play carrom and 3 play both. How many play neither of the two?
  34. 34.In a group of 20 children, 9 play cricket, 12 play football and 5 play both. How many play neither of the two?
  35. 35.In a group of 31 children, 9 play chess, 25 play carrom and 5 play both. How many play only chess?
  36. 36.In a group of 34 grown-ups, 16 drink tea, 21 drink coffee and 11 drink both. How many drink only coffee?
  37. 37.In a group of 22 children, 14 like mangoes, 6 like bananas and 2 like both. How many like only bananas?
  38. 38.In a group of 31 children, 14 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing only Hindi songs?
  39. 39.In a group of 19 children, 8 play chess, 11 play carrom and 4 play both. How many play at least one of the two?
  40. 40.In a group of 34 children, 17 play chess, 27 play carrom and 12 play both. How many play exactly one of the two?

Answer key

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

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