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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 517 · 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 grown-ups, 15 drink tea, 8 drink coffee and 4 drink both. How many drink neither of the two?
  2. 2.In a group of 57 grown-ups, 27 drink tea, 25 drink coffee and 9 drink both. How many drink at least one of the two?
  3. 3.In a group of 47 children, 23 like mangoes, 24 like bananas and 7 like both. How many like only mangoes?
  4. 4.In a group of 36 children, 17 sing Hindi songs, 14 sing English songs and 8 sing both. How many sing at least one of the two?
  5. 5.In a group of 39 children, 20 play cricket, 11 play football and 6 play both. How many play neither of the two?
  6. 6.In a group of 36 grown-ups, 22 drink tea, 7 drink coffee and 4 drink both. How many drink at least one of the two?
  7. 7.In a group of 33 children, 18 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 35 grown-ups, 20 drink tea, 19 drink coffee and 6 drink both. How many drink exactly one of the two?
  9. 9.In a group of 12 grown-ups, 5 drink tea, 5 drink coffee and 2 drink both. How many drink neither of the two?
  10. 10.In a group of 40 children, 19 like mangoes, 27 like bananas and 7 like both. How many like neither of the two?
  11. 11.In a group of 39 children, 13 sing Hindi songs, 24 sing English songs and 8 sing both. How many sing only Hindi songs?
  12. 12.In a group of 46 children, 24 play chess, 20 play carrom and 12 play both. How many play only carrom?
  13. 13.In a group of 22 children, 7 like mangoes, 13 like bananas and 4 like both. How many like only bananas?
  14. 14.In a group of 51 children, 22 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing exactly one of the two?
  15. 15.In a group of 39 children, 8 play chess, 20 play carrom and 4 play both. How many play only carrom?
  16. 16.In a group of 49 children, 20 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  17. 17.In a group of 36 children, 20 like mangoes, 9 like bananas and 3 like both. How many like exactly one of the two?
  18. 18.In a group of 43 children, 20 play chess, 13 play carrom and 2 play both. How many play only carrom?
  19. 19.In a group of 42 children, 17 play cricket, 27 play football and 12 play both. How many play exactly one of the two?
  20. 20.In a group of 34 children, 16 like mangoes, 11 like bananas and 4 like both. How many like only bananas?
  21. 21.In a group of 42 children, 14 play chess, 18 play carrom and 2 play both. How many play at least one of the two?
  22. 22.In a group of 39 children, 24 sing Hindi songs, 13 sing English songs and 10 sing both. How many sing at least one of the two?
  23. 23.In a group of 32 children, 19 play chess, 17 play carrom and 11 play both. How many play only chess?
  24. 24.In a group of 40 children, 23 play cricket, 25 play football and 11 play both. How many play at least one of the two?
  25. 25.In a group of 42 children, 22 enjoy drawing, 25 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 38 children, 22 play chess, 19 play carrom and 6 play both. How many play at least one of the two?
  27. 27.In a group of 43 children, 23 play cricket, 19 play football and 3 play both. How many play at least one of the two?
  28. 28.In a group of 34 children, 14 play cricket, 24 play football and 5 play both. How many play only cricket?
  29. 29.In a group of 32 children, 20 like mangoes, 11 like bananas and 4 like both. How many like only mangoes?
  30. 30.In a group of 38 children, 13 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  31. 31.In a group of 32 children, 14 sing Hindi songs, 13 sing English songs and 8 sing both. How many sing neither of the two?
  32. 32.In a group of 35 children, 13 play cricket, 20 play football and 5 play both. How many play only cricket?
  33. 33.In a group of 32 children, 10 enjoy drawing, 16 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 34 children, 22 play cricket, 14 play football and 6 play both. How many play at least one of the two?
  35. 35.In a group of 36 children, 21 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  36. 36.In a group of 44 children, 17 play cricket, 23 play football and 9 play both. How many play at least one of the two?
  37. 37.In a group of 36 children, 19 play cricket, 18 play football and 9 play both. How many play only football?
  38. 38.In a group of 49 children, 25 play cricket, 14 play football and 5 play both. How many play exactly one of the two?
  39. 39.In a group of 37 children, 16 play chess, 24 play carrom and 8 play both. How many play neither of the two?
  40. 40.In a group of 22 children, 15 play cricket, 12 play football and 8 play both. How many play neither of the two?

Answer key

  1. 15
  2. 43
  3. 16
  4. 23
  5. 14
  6. 25
  7. 6
  8. 27
  9. 4
  10. 1
  11. 5
  12. 8
  13. 9
  14. 38
  15. 16
  16. 37
  17. 23
  18. 11
  19. 20
  20. 7
  21. 30
  22. 27
  23. 8
  24. 37
  25. 37
  26. 35
  27. 39
  28. 9
  29. 16
  30. 17
  31. 13
  32. 8
  33. 12
  34. 30
  35. 16
  36. 31
  37. 9
  38. 29
  39. 5
  40. 3

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