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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 111 · 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 28 children, 16 like mangoes, 21 like bananas and 10 like both. How many like at least one of the two?
  2. 2.In a group of 43 children, 17 play chess, 18 play carrom and 4 play both. How many play neither of the two?
  3. 3.In a group of 29 children, 18 play cricket, 8 play football and 4 play both. How many play at least one of the two?
  4. 4.In a group of 39 children, 13 play chess, 16 play carrom and 4 play both. How many play only carrom?
  5. 5.In a group of 50 children, 19 play cricket, 21 play football and 4 play both. How many play at least one of the two?
  6. 6.In a group of 38 children, 18 play cricket, 16 play football and 11 play both. How many play at least one of the two?
  7. 7.In a group of 37 children, 11 sing Hindi songs, 22 sing English songs and 3 sing both. How many sing only Hindi songs?
  8. 8.In a group of 35 children, 6 like mangoes, 20 like bananas and 2 like both. How many like only mangoes?
  9. 9.In a group of 21 children, 12 sing Hindi songs, 17 sing English songs and 9 sing both. How many sing only Hindi songs?
  10. 10.In a group of 40 children, 17 play chess, 26 play carrom and 12 play both. How many play only chess?
  11. 11.In a group of 52 children, 26 enjoy drawing, 25 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  12. 12.In a group of 35 children, 15 play cricket, 11 play football and 4 play both. How many play neither of the two?
  13. 13.In a group of 49 grown-ups, 19 drink tea, 21 drink coffee and 2 drink both. How many drink only tea?
  14. 14.In a group of 31 children, 11 play chess, 20 play carrom and 3 play both. How many play at least one of the two?
  15. 15.In a group of 41 children, 18 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  16. 16.In a group of 35 grown-ups, 25 drink tea, 9 drink coffee and 6 drink both. How many drink only tea?
  17. 17.In a group of 53 grown-ups, 31 drink tea, 30 drink coffee and 12 drink both. How many drink only coffee?
  18. 18.In a group of 34 children, 17 enjoy drawing, 10 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  19. 19.In a group of 37 grown-ups, 11 drink tea, 22 drink coffee and 2 drink both. How many drink only tea?
  20. 20.In a group of 43 children, 30 enjoy drawing, 23 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  21. 21.In a group of 33 grown-ups, 8 drink tea, 17 drink coffee and 4 drink both. How many drink only coffee?
  22. 22.In a group of 47 grown-ups, 19 drink tea, 24 drink coffee and 10 drink both. How many drink neither of the two?
  23. 23.In a group of 24 children, 9 enjoy drawing, 16 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  24. 24.In a group of 42 children, 10 play chess, 25 play carrom and 7 play both. How many play at least one of the two?
  25. 25.In a group of 54 children, 23 like mangoes, 27 like bananas and 11 like both. How many like neither of the two?
  26. 26.In a group of 59 children, 30 play cricket, 29 play football and 11 play both. How many play exactly one of the two?
  27. 27.In a group of 45 children, 22 play cricket, 26 play football and 7 play both. How many play at least one of the two?
  28. 28.In a group of 48 children, 21 sing Hindi songs, 22 sing English songs and 3 sing both. How many sing neither of the two?
  29. 29.In a group of 47 children, 27 play cricket, 19 play football and 9 play both. How many play only cricket?
  30. 30.In a group of 19 children, 8 play cricket, 10 play football and 2 play both. How many play at least one of the two?
  31. 31.In a group of 33 children, 21 like mangoes, 18 like bananas and 11 like both. How many like neither of the two?
  32. 32.In a group of 33 children, 15 play cricket, 6 play football and 2 play both. How many play only cricket?
  33. 33.In a group of 41 children, 17 sing Hindi songs, 11 sing English songs and 2 sing both. How many sing only Hindi songs?
  34. 34.In a group of 24 children, 8 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing at least one of the two?
  35. 35.In a group of 31 children, 21 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 45 children, 22 like mangoes, 27 like bananas and 8 like both. How many like neither of the two?
  37. 37.In a group of 28 children, 22 play cricket, 6 play football and 3 play both. How many play exactly one of the two?
  38. 38.In a group of 29 grown-ups, 6 drink tea, 16 drink coffee and 3 drink both. How many drink exactly one of the two?
  39. 39.In a group of 41 children, 19 like mangoes, 17 like bananas and 4 like both. How many like only mangoes?
  40. 40.In a group of 33 grown-ups, 26 drink tea, 10 drink coffee and 7 drink both. How many drink exactly one of the two?

Answer key

  1. 27
  2. 12
  3. 22
  4. 12
  5. 36
  6. 23
  7. 8
  8. 4
  9. 3
  10. 5
  11. 15
  12. 13
  13. 17
  14. 28
  15. 37
  16. 19
  17. 18
  18. 17
  19. 9
  20. 11
  21. 13
  22. 14
  23. 12
  24. 28
  25. 15
  26. 37
  27. 41
  28. 8
  29. 18
  30. 16
  31. 5
  32. 13
  33. 15
  34. 14
  35. 10
  36. 4
  37. 22
  38. 16
  39. 15
  40. 22

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