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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 374 · 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 20 grown-ups, 8 drink tea, 9 drink coffee and 2 drink both. How many drink exactly one of the two?
  2. 2.In a group of 37 children, 18 like mangoes, 21 like bananas and 3 like both. How many like at least one of the two?
  3. 3.In a group of 48 children, 26 play chess, 16 play carrom and 8 play both. How many play only chess?
  4. 4.In a group of 43 children, 25 enjoy drawing, 11 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 30 children, 13 play cricket, 19 play football and 8 play both. How many play exactly one of the two?
  6. 6.In a group of 39 children, 19 play cricket, 15 play football and 10 play both. How many play only cricket?
  7. 7.In a group of 26 children, 12 play chess, 9 play carrom and 5 play both. How many play only carrom?
  8. 8.In a group of 30 children, 17 play chess, 7 play carrom and 4 play both. How many play exactly one of the two?
  9. 9.In a group of 35 children, 29 like mangoes, 13 like bananas and 10 like both. How many like at least one of the two?
  10. 10.In a group of 32 children, 13 enjoy drawing, 14 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  11. 11.In a group of 41 children, 26 sing Hindi songs, 19 sing English songs and 7 sing both. How many sing exactly one of the two?
  12. 12.In a group of 26 children, 13 play chess, 14 play carrom and 5 play both. How many play neither of the two?
  13. 13.In a group of 49 grown-ups, 16 drink tea, 26 drink coffee and 7 drink both. How many drink at least one of the two?
  14. 14.In a group of 32 children, 20 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing only Hindi songs?
  15. 15.In a group of 52 children, 25 like mangoes, 21 like bananas and 6 like both. How many like at least one of the two?
  16. 16.In a group of 24 grown-ups, 12 drink tea, 8 drink coffee and 2 drink both. How many drink only tea?
  17. 17.In a group of 44 children, 15 play chess, 24 play carrom and 10 play both. How many play only chess?
  18. 18.In a group of 32 children, 27 play chess, 11 play carrom and 7 play both. How many play exactly one of the two?
  19. 19.In a group of 34 children, 12 play cricket, 16 play football and 5 play both. How many play only football?
  20. 20.In a group of 25 children, 7 like mangoes, 10 like bananas and 4 like both. How many like only mangoes?
  21. 21.In a group of 32 children, 12 like mangoes, 20 like bananas and 7 like both. How many like only mangoes?
  22. 22.In a group of 23 grown-ups, 7 drink tea, 7 drink coffee and 2 drink both. How many drink exactly one of the two?
  23. 23.In a group of 38 children, 19 like mangoes, 18 like bananas and 2 like both. How many like at least one of the two?
  24. 24.In a group of 22 children, 12 sing Hindi songs, 15 sing English songs and 9 sing both. How many sing neither of the two?
  25. 25.In a group of 48 children, 31 like mangoes, 25 like bananas and 12 like both. How many like at least one of the two?
  26. 26.In a group of 30 grown-ups, 8 drink tea, 18 drink coffee and 3 drink both. How many drink only coffee?
  27. 27.In a group of 35 children, 11 sing Hindi songs, 21 sing English songs and 2 sing both. How many sing at least one of the two?
  28. 28.In a group of 40 children, 25 like mangoes, 10 like bananas and 7 like both. How many like neither of the two?
  29. 29.In a group of 45 children, 16 play chess, 31 play carrom and 12 play both. How many play only chess?
  30. 30.In a group of 52 children, 31 enjoy drawing, 19 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 28 children, 23 play cricket, 12 play football and 9 play both. How many play only cricket?
  32. 32.In a group of 36 children, 17 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing only English songs?
  33. 33.In a group of 41 children, 19 like mangoes, 13 like bananas and 6 like both. How many like at least one of the two?
  34. 34.In a group of 28 children, 10 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  35. 35.In a group of 52 children, 23 play cricket, 27 play football and 12 play both. How many play at least one of the two?
  36. 36.In a group of 47 children, 25 like mangoes, 31 like bananas and 12 like both. How many like only mangoes?
  37. 37.In a group of 51 children, 19 play chess, 26 play carrom and 8 play both. How many play at least one of the two?
  38. 38.In a group of 54 children, 25 sing Hindi songs, 27 sing English songs and 7 sing both. How many sing at least one of the two?
  39. 39.In a group of 34 grown-ups, 19 drink tea, 16 drink coffee and 6 drink both. How many drink only coffee?
  40. 40.In a group of 51 children, 27 play chess, 22 play carrom and 7 play both. How many play at least one of the two?

Answer key

  1. 13
  2. 36
  3. 18
  4. 20
  5. 16
  6. 9
  7. 4
  8. 16
  9. 32
  10. 21
  11. 31
  12. 4
  13. 35
  14. 9
  15. 40
  16. 10
  17. 5
  18. 24
  19. 11
  20. 3
  21. 5
  22. 10
  23. 35
  24. 4
  25. 44
  26. 15
  27. 30
  28. 12
  29. 4
  30. 13
  31. 14
  32. 17
  33. 26
  34. 12
  35. 38
  36. 13
  37. 37
  38. 45
  39. 10
  40. 42

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