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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 295 · 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, 15 sing Hindi songs, 12 sing English songs and 4 sing both. How many sing neither of the two?
  2. 2.In a group of 46 grown-ups, 14 drink tea, 29 drink coffee and 10 drink both. How many drink only coffee?
  3. 3.In a group of 30 grown-ups, 14 drink tea, 20 drink coffee and 8 drink both. How many drink exactly one of the two?
  4. 4.In a group of 21 children, 12 play chess, 14 play carrom and 8 play both. How many play exactly one of the two?
  5. 5.In a group of 43 children, 17 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  6. 6.In a group of 45 children, 27 enjoy drawing, 29 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  7. 7.In a group of 44 children, 20 play cricket, 18 play football and 4 play both. How many play at least one of the two?
  8. 8.In a group of 29 children, 8 like mangoes, 18 like bananas and 2 like both. How many like only bananas?
  9. 9.In a group of 32 children, 21 play chess, 12 play carrom and 7 play both. How many play neither of the two?
  10. 10.In a group of 55 children, 28 play chess, 31 play carrom and 11 play both. How many play only carrom?
  11. 11.In a group of 25 children, 15 play cricket, 7 play football and 2 play both. How many play neither of the two?
  12. 12.In a group of 42 children, 20 play chess, 17 play carrom and 5 play both. How many play neither of the two?
  13. 13.In a group of 34 children, 20 sing Hindi songs, 8 sing English songs and 2 sing both. How many sing neither of the two?
  14. 14.In a group of 46 children, 17 play chess, 21 play carrom and 2 play both. How many play only carrom?
  15. 15.In a group of 51 children, 20 play cricket, 25 play football and 5 play both. How many play only cricket?
  16. 16.In a group of 25 children, 7 like mangoes, 12 like bananas and 4 like both. How many like only mangoes?
  17. 17.In a group of 33 grown-ups, 20 drink tea, 11 drink coffee and 6 drink both. How many drink neither of the two?
  18. 18.In a group of 29 children, 8 play cricket, 20 play football and 4 play both. How many play only cricket?
  19. 19.In a group of 25 children, 11 like mangoes, 16 like bananas and 5 like both. How many like only mangoes?
  20. 20.In a group of 30 children, 20 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  21. 21.In a group of 39 children, 22 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing at least one of the two?
  22. 22.In a group of 44 children, 16 play chess, 23 play carrom and 7 play both. How many play only chess?
  23. 23.In a group of 58 children, 26 sing Hindi songs, 25 sing English songs and 7 sing both. How many sing neither of the two?
  24. 24.In a group of 16 children, 6 play cricket, 8 play football and 2 play both. How many play only cricket?
  25. 25.In a group of 34 grown-ups, 26 drink tea, 15 drink coffee and 8 drink both. How many drink at least one of the two?
  26. 26.In a group of 32 children, 24 play chess, 15 play carrom and 12 play both. How many play only carrom?
  27. 27.In a group of 27 children, 7 play chess, 16 play carrom and 3 play both. How many play exactly one of the two?
  28. 28.In a group of 52 children, 23 sing Hindi songs, 22 sing English songs and 3 sing both. How many sing exactly one of the two?
  29. 29.In a group of 29 children, 17 play cricket, 13 play football and 8 play both. How many play neither of the two?
  30. 30.In a group of 49 children, 19 play cricket, 19 play football and 3 play both. How many play at least one of the two?
  31. 31.In a group of 26 grown-ups, 11 drink tea, 19 drink coffee and 5 drink both. How many drink exactly one of the two?
  32. 32.In a group of 37 children, 24 play chess, 12 play carrom and 6 play both. How many play at least one of the two?
  33. 33.In a group of 47 children, 28 like mangoes, 25 like bananas and 12 like both. How many like neither of the two?
  34. 34.In a group of 26 children, 14 enjoy drawing, 17 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  35. 35.In a group of 47 children, 19 like mangoes, 16 like bananas and 2 like both. How many like exactly one of the two?
  36. 36.In a group of 23 grown-ups, 8 drink tea, 16 drink coffee and 3 drink both. How many drink only coffee?
  37. 37.In a group of 37 grown-ups, 20 drink tea, 11 drink coffee and 5 drink both. How many drink exactly one of the two?
  38. 38.In a group of 48 grown-ups, 14 drink tea, 30 drink coffee and 10 drink both. How many drink only tea?
  39. 39.In a group of 25 children, 16 play chess, 14 play carrom and 10 play both. How many play only carrom?
  40. 40.In a group of 28 children, 17 play chess, 18 play carrom and 10 play both. How many play at least one of the two?

Answer key

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

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