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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 77 · 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 45 children, 13 play cricket, 30 play football and 10 play both. How many play neither of the two?
  2. 2.In a group of 44 children, 11 like mangoes, 24 like bananas and 4 like both. How many like neither of the two?
  3. 3.In a group of 30 children, 14 enjoy drawing, 9 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  4. 4.In a group of 25 children, 9 play cricket, 17 play football and 4 play both. How many play at least one of the two?
  5. 5.In a group of 49 grown-ups, 18 drink tea, 25 drink coffee and 8 drink both. How many drink exactly one of the two?
  6. 6.In a group of 33 children, 22 enjoy drawing, 19 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  7. 7.In a group of 47 children, 26 like mangoes, 18 like bananas and 6 like both. How many like neither of the two?
  8. 8.In a group of 25 grown-ups, 5 drink tea, 7 drink coffee and 2 drink both. How many drink neither of the two?
  9. 9.In a group of 36 children, 19 like mangoes, 16 like bananas and 2 like both. How many like only bananas?
  10. 10.In a group of 44 children, 18 sing Hindi songs, 23 sing English songs and 7 sing both. How many sing at least one of the two?
  11. 11.In a group of 38 children, 21 play chess, 28 play carrom and 12 play both. How many play at least one of the two?
  12. 12.In a group of 44 children, 23 play cricket, 14 play football and 3 play both. How many play neither of the two?
  13. 13.In a group of 16 children, 12 play chess, 8 play carrom and 5 play both. How many play exactly one of the two?
  14. 14.In a group of 25 children, 19 play chess, 17 play carrom and 12 play both. How many play neither of the two?
  15. 15.In a group of 32 grown-ups, 17 drink tea, 13 drink coffee and 10 drink both. How many drink neither of the two?
  16. 16.In a group of 48 children, 22 play cricket, 20 play football and 7 play both. How many play neither of the two?
  17. 17.In a group of 31 grown-ups, 20 drink tea, 10 drink coffee and 6 drink both. How many drink only tea?
  18. 18.In a group of 18 children, 11 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  19. 19.In a group of 36 children, 15 play cricket, 19 play football and 2 play both. How many play only football?
  20. 20.In a group of 26 grown-ups, 21 drink tea, 7 drink coffee and 3 drink both. How many drink at least one of the two?
  21. 21.In a group of 27 children, 14 play cricket, 23 play football and 11 play both. How many play neither of the two?
  22. 22.In a group of 48 children, 20 like mangoes, 23 like bananas and 4 like both. How many like at least one of the two?
  23. 23.In a group of 18 children, 12 play chess, 9 play carrom and 6 play both. How many play at least one of the two?
  24. 24.In a group of 30 grown-ups, 9 drink tea, 25 drink coffee and 6 drink both. How many drink only tea?
  25. 25.In a group of 23 children, 14 like mangoes, 14 like bananas and 11 like both. How many like neither of the two?
  26. 26.In a group of 36 grown-ups, 29 drink tea, 15 drink coffee and 12 drink both. How many drink neither of the two?
  27. 27.In a group of 51 children, 19 like mangoes, 21 like bananas and 3 like both. How many like exactly one of the two?
  28. 28.In a group of 24 children, 10 play cricket, 12 play football and 7 play both. How many play at least one of the two?
  29. 29.In a group of 33 grown-ups, 11 drink tea, 9 drink coffee and 2 drink both. How many drink neither of the two?
  30. 30.In a group of 50 children, 28 play cricket, 27 play football and 8 play both. How many play only cricket?
  31. 31.In a group of 33 grown-ups, 12 drink tea, 15 drink coffee and 8 drink both. How many drink exactly one of the two?
  32. 32.In a group of 17 children, 6 play cricket, 6 play football and 3 play both. How many play only cricket?
  33. 33.In a group of 56 children, 29 play chess, 25 play carrom and 10 play both. How many play at least one of the two?
  34. 34.In a group of 43 children, 22 play cricket, 27 play football and 11 play both. How many play exactly one of the two?
  35. 35.In a group of 39 grown-ups, 9 drink tea, 22 drink coffee and 2 drink both. How many drink at least one of the two?
  36. 36.In a group of 58 children, 24 enjoy drawing, 30 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  37. 37.In a group of 25 children, 11 like mangoes, 16 like bananas and 8 like both. How many like only bananas?
  38. 38.In a group of 33 grown-ups, 15 drink tea, 10 drink coffee and 5 drink both. How many drink neither of the two?
  39. 39.In a group of 46 children, 20 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 57 children, 30 sing Hindi songs, 26 sing English songs and 10 sing both. How many sing only Hindi songs?

Answer key

  1. 12
  2. 13
  3. 4
  4. 22
  5. 27
  6. 8
  7. 9
  8. 15
  9. 14
  10. 34
  11. 37
  12. 10
  13. 10
  14. 1
  15. 12
  16. 13
  17. 14
  18. 8
  19. 17
  20. 25
  21. 1
  22. 39
  23. 15
  24. 3
  25. 6
  26. 4
  27. 34
  28. 15
  29. 15
  30. 20
  31. 11
  32. 3
  33. 44
  34. 27
  35. 29
  36. 43
  37. 8
  38. 13
  39. 18
  40. 20

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