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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 117 · 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 46 children, 26 like mangoes, 26 like bananas and 11 like both. How many like only mangoes?
  2. 2.In a group of 52 grown-ups, 18 drink tea, 27 drink coffee and 8 drink both. How many drink neither of the two?
  3. 3.In a group of 54 grown-ups, 27 drink tea, 30 drink coffee and 12 drink both. How many drink exactly one of the two?
  4. 4.In a group of 24 children, 14 play cricket, 11 play football and 3 play both. How many play exactly one of the two?
  5. 5.In a group of 25 children, 14 enjoy drawing, 18 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  6. 6.In a group of 44 children, 27 play cricket, 23 play football and 12 play both. How many play exactly one of the two?
  7. 7.In a group of 43 grown-ups, 28 drink tea, 14 drink coffee and 8 drink both. How many drink only coffee?
  8. 8.In a group of 48 children, 26 play cricket, 25 play football and 8 play both. How many play at least one of the two?
  9. 9.In a group of 44 children, 24 sing Hindi songs, 15 sing English songs and 6 sing both. How many sing only Hindi songs?
  10. 10.In a group of 49 children, 23 play chess, 19 play carrom and 6 play both. How many play at least one of the two?
  11. 11.In a group of 35 children, 13 play cricket, 23 play football and 6 play both. How many play exactly one of the two?
  12. 12.In a group of 33 children, 13 sing Hindi songs, 29 sing English songs and 10 sing both. How many sing exactly one of the two?
  13. 13.In a group of 37 children, 11 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 21 grown-ups, 13 drink tea, 12 drink coffee and 9 drink both. How many drink only coffee?
  15. 15.In a group of 38 children, 14 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing only Hindi songs?
  16. 16.In a group of 43 children, 27 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  17. 17.In a group of 32 children, 18 play chess, 13 play carrom and 3 play both. How many play at least one of the two?
  18. 18.In a group of 27 children, 19 sing Hindi songs, 10 sing English songs and 3 sing both. How many sing exactly one of the two?
  19. 19.In a group of 48 grown-ups, 22 drink tea, 29 drink coffee and 10 drink both. How many drink at least one of the two?
  20. 20.In a group of 28 children, 13 like mangoes, 17 like bananas and 9 like both. How many like only mangoes?
  21. 21.In a group of 37 children, 15 like mangoes, 12 like bananas and 5 like both. How many like neither of the two?
  22. 22.In a group of 34 grown-ups, 16 drink tea, 13 drink coffee and 8 drink both. How many drink exactly one of the two?
  23. 23.In a group of 48 children, 26 play cricket, 24 play football and 11 play both. How many play at least one of the two?
  24. 24.In a group of 39 children, 19 enjoy drawing, 14 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  25. 25.In a group of 45 children, 25 enjoy drawing, 17 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 20 children, 8 play cricket, 7 play football and 2 play both. How many play at least one of the two?
  27. 27.In a group of 33 children, 11 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing exactly one of the two?
  28. 28.In a group of 16 children, 6 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 36 children, 17 play chess, 16 play carrom and 3 play both. How many play exactly one of the two?
  30. 30.In a group of 45 children, 17 play cricket, 26 play football and 9 play both. How many play at least one of the two?
  31. 31.In a group of 45 children, 20 like mangoes, 21 like bananas and 5 like both. How many like only mangoes?
  32. 32.In a group of 48 children, 15 play cricket, 25 play football and 6 play both. How many play only football?
  33. 33.In a group of 29 grown-ups, 10 drink tea, 20 drink coffee and 3 drink both. How many drink exactly one of the two?
  34. 34.In a group of 35 children, 24 play cricket, 13 play football and 5 play both. How many play only cricket?
  35. 35.In a group of 40 children, 19 like mangoes, 23 like bananas and 6 like both. How many like at least one of the two?
  36. 36.In a group of 36 grown-ups, 19 drink tea, 13 drink coffee and 2 drink both. How many drink exactly one of the two?
  37. 37.In a group of 57 children, 23 sing Hindi songs, 30 sing English songs and 10 sing both. How many sing at least one of the two?
  38. 38.In a group of 27 children, 19 play cricket, 12 play football and 7 play both. How many play at least one of the two?
  39. 39.In a group of 45 children, 30 play chess, 15 play carrom and 12 play both. How many play only chess?
  40. 40.In a group of 27 children, 14 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy only drawing?

Answer key

  1. 15
  2. 15
  3. 33
  4. 19
  5. 24
  6. 26
  7. 6
  8. 43
  9. 18
  10. 36
  11. 24
  12. 22
  13. 25
  14. 3
  15. 3
  16. 30
  17. 28
  18. 23
  19. 41
  20. 4
  21. 15
  22. 13
  23. 39
  24. 16
  25. 36
  26. 13
  27. 14
  28. 5
  29. 27
  30. 34
  31. 15
  32. 19
  33. 24
  34. 19
  35. 36
  36. 28
  37. 43
  38. 24
  39. 18
  40. 3

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