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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 380 · 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 43 children, 13 play cricket, 22 play football and 7 play both. How many play only cricket?
  2. 2.In a group of 42 children, 13 sing Hindi songs, 21 sing English songs and 6 sing both. How many sing only Hindi songs?
  3. 3.In a group of 38 children, 23 sing Hindi songs, 25 sing English songs and 12 sing both. How many sing only English songs?
  4. 4.In a group of 37 children, 22 sing Hindi songs, 24 sing English songs and 12 sing both. How many sing only Hindi songs?
  5. 5.In a group of 43 children, 18 like mangoes, 22 like bananas and 12 like both. How many like exactly one of the two?
  6. 6.In a group of 30 grown-ups, 13 drink tea, 25 drink coffee and 9 drink both. How many drink at least one of the two?
  7. 7.In a group of 45 children, 25 play cricket, 23 play football and 11 play both. How many play neither of the two?
  8. 8.In a group of 25 children, 15 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  9. 9.In a group of 42 children, 30 enjoy drawing, 20 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  10. 10.In a group of 20 children, 9 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing exactly one of the two?
  11. 11.In a group of 48 grown-ups, 22 drink tea, 18 drink coffee and 5 drink both. How many drink at least one of the two?
  12. 12.In a group of 45 grown-ups, 22 drink tea, 21 drink coffee and 9 drink both. How many drink neither of the two?
  13. 13.In a group of 43 children, 23 enjoy drawing, 27 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  14. 14.In a group of 36 children, 7 sing Hindi songs, 23 sing English songs and 4 sing both. How many sing only Hindi songs?
  15. 15.In a group of 32 children, 17 sing Hindi songs, 24 sing English songs and 11 sing both. How many sing only English songs?
  16. 16.In a group of 22 grown-ups, 13 drink tea, 15 drink coffee and 8 drink both. How many drink exactly one of the two?
  17. 17.In a group of 30 children, 17 play cricket, 13 play football and 2 play both. How many play at least one of the two?
  18. 18.In a group of 36 children, 7 enjoy drawing, 24 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  19. 19.In a group of 39 grown-ups, 13 drink tea, 22 drink coffee and 3 drink both. How many drink neither of the two?
  20. 20.In a group of 46 children, 22 sing Hindi songs, 21 sing English songs and 5 sing both. How many sing only Hindi songs?
  21. 21.In a group of 45 children, 17 play cricket, 21 play football and 7 play both. How many play neither of the two?
  22. 22.In a group of 60 children, 28 like mangoes, 29 like bananas and 12 like both. How many like only bananas?
  23. 23.In a group of 15 children, 6 play cricket, 9 play football and 2 play both. How many play exactly one of the two?
  24. 24.In a group of 48 children, 20 enjoy drawing, 22 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  25. 25.In a group of 29 children, 14 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 31 children, 16 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing at least one of the two?
  27. 27.In a group of 33 children, 19 like mangoes, 18 like bananas and 11 like both. How many like neither of the two?
  28. 28.In a group of 41 children, 22 play chess, 14 play carrom and 7 play both. How many play only chess?
  29. 29.In a group of 43 children, 17 play cricket, 20 play football and 2 play both. How many play only cricket?
  30. 30.In a group of 44 children, 22 enjoy drawing, 28 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 36 children, 13 play cricket, 22 play football and 4 play both. How many play neither of the two?
  32. 32.In a group of 34 grown-ups, 23 drink tea, 19 drink coffee and 10 drink both. How many drink only coffee?
  33. 33.In a group of 44 children, 22 sing Hindi songs, 18 sing English songs and 6 sing both. How many sing only Hindi songs?
  34. 34.In a group of 39 children, 16 play cricket, 27 play football and 12 play both. How many play only football?
  35. 35.In a group of 28 grown-ups, 11 drink tea, 10 drink coffee and 7 drink both. How many drink exactly one of the two?
  36. 36.In a group of 33 grown-ups, 13 drink tea, 22 drink coffee and 8 drink both. How many drink at least one of the two?
  37. 37.In a group of 31 children, 8 play chess, 17 play carrom and 3 play both. How many play neither of the two?
  38. 38.In a group of 43 children, 21 play chess, 18 play carrom and 10 play both. How many play at least one of the two?
  39. 39.In a group of 25 children, 14 sing Hindi songs, 11 sing English songs and 5 sing both. How many sing at least one of the two?
  40. 40.In a group of 27 children, 17 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing only English songs?

Answer key

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

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