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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 240 · 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 46 children, 21 sing Hindi songs, 28 sing English songs and 9 sing both. How many sing only English songs?
  2. 2.In a group of 38 children, 8 play cricket, 20 play football and 3 play both. How many play only cricket?
  3. 3.In a group of 34 grown-ups, 23 drink tea, 7 drink coffee and 4 drink both. How many drink only tea?
  4. 4.In a group of 45 children, 22 play chess, 17 play carrom and 4 play both. How many play at least one of the two?
  5. 5.In a group of 40 children, 19 like mangoes, 12 like bananas and 5 like both. How many like neither of the two?
  6. 6.In a group of 58 children, 24 sing Hindi songs, 25 sing English songs and 6 sing both. How many sing only Hindi songs?
  7. 7.In a group of 36 children, 15 play cricket, 14 play football and 3 play both. How many play neither of the two?
  8. 8.In a group of 36 children, 23 play cricket, 16 play football and 11 play both. How many play neither of the two?
  9. 9.In a group of 41 children, 17 like mangoes, 17 like bananas and 2 like both. How many like only mangoes?
  10. 10.In a group of 32 children, 23 sing Hindi songs, 20 sing English songs and 12 sing both. How many sing only English songs?
  11. 11.In a group of 64 children, 30 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  12. 12.In a group of 27 children, 11 enjoy drawing, 15 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  13. 13.In a group of 34 children, 11 sing Hindi songs, 23 sing English songs and 8 sing both. How many sing only Hindi songs?
  14. 14.In a group of 41 grown-ups, 19 drink tea, 14 drink coffee and 2 drink both. How many drink only tea?
  15. 15.In a group of 29 grown-ups, 23 drink tea, 8 drink coffee and 5 drink both. How many drink at least one of the two?
  16. 16.In a group of 31 children, 20 sing Hindi songs, 16 sing English songs and 9 sing both. How many sing only English songs?
  17. 17.In a group of 32 children, 18 play cricket, 12 play football and 2 play both. How many play only football?
  18. 18.In a group of 30 grown-ups, 5 drink tea, 19 drink coffee and 2 drink both. How many drink only tea?
  19. 19.In a group of 36 children, 14 sing Hindi songs, 14 sing English songs and 6 sing both. How many sing exactly one of the two?
  20. 20.In a group of 29 children, 9 play cricket, 14 play football and 2 play both. How many play only cricket?
  21. 21.In a group of 37 children, 23 play chess, 18 play carrom and 9 play both. How many play neither of the two?
  22. 22.In a group of 32 children, 10 like mangoes, 17 like bananas and 7 like both. How many like at least one of the two?
  23. 23.In a group of 42 children, 21 play cricket, 13 play football and 2 play both. How many play only football?
  24. 24.In a group of 22 children, 15 play cricket, 11 play football and 7 play both. How many play neither of the two?
  25. 25.In a group of 46 children, 25 like mangoes, 28 like bananas and 8 like both. How many like only mangoes?
  26. 26.In a group of 36 children, 15 sing Hindi songs, 29 sing English songs and 11 sing both. How many sing only English songs?
  27. 27.In a group of 38 grown-ups, 26 drink tea, 15 drink coffee and 9 drink both. How many drink only tea?
  28. 28.In a group of 42 children, 24 play chess, 17 play carrom and 9 play both. How many play exactly one of the two?
  29. 29.In a group of 39 children, 23 like mangoes, 12 like bananas and 4 like both. How many like only bananas?
  30. 30.In a group of 43 children, 22 play cricket, 14 play football and 5 play both. How many play at least one of the two?
  31. 31.In a group of 43 children, 12 play chess, 26 play carrom and 9 play both. How many play only chess?
  32. 32.In a group of 33 grown-ups, 12 drink tea, 12 drink coffee and 5 drink both. How many drink neither of the two?
  33. 33.In a group of 54 grown-ups, 24 drink tea, 24 drink coffee and 4 drink both. How many drink only tea?
  34. 34.In a group of 34 children, 12 play chess, 13 play carrom and 3 play both. How many play at least one of the two?
  35. 35.In a group of 48 children, 25 sing Hindi songs, 14 sing English songs and 6 sing both. How many sing only English songs?
  36. 36.In a group of 24 children, 14 sing Hindi songs, 11 sing English songs and 5 sing both. How many sing at least one of the two?
  37. 37.In a group of 48 children, 27 enjoy drawing, 27 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  38. 38.In a group of 29 children, 19 like mangoes, 18 like bananas and 12 like both. How many like only mangoes?
  39. 39.In a group of 31 children, 13 like mangoes, 18 like bananas and 6 like both. How many like only bananas?
  40. 40.In a group of 37 grown-ups, 20 drink tea, 21 drink coffee and 10 drink both. How many drink only tea?

Answer key

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

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