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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 381 · 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 59 children, 27 play cricket, 25 play football and 7 play both. How many play at least one of the two?
  2. 2.In a group of 30 children, 14 play chess, 10 play carrom and 6 play both. How many play only chess?
  3. 3.In a group of 37 grown-ups, 20 drink tea, 12 drink coffee and 6 drink both. How many drink only coffee?
  4. 4.In a group of 37 children, 12 sing Hindi songs, 23 sing English songs and 9 sing both. How many sing only English songs?
  5. 5.In a group of 33 children, 10 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  6. 6.In a group of 30 children, 13 play chess, 19 play carrom and 10 play both. How many play exactly one of the two?
  7. 7.In a group of 51 grown-ups, 22 drink tea, 20 drink coffee and 3 drink both. How many drink exactly one of the two?
  8. 8.In a group of 41 children, 20 play cricket, 16 play football and 8 play both. How many play at least one of the two?
  9. 9.In a group of 36 children, 15 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  10. 10.In a group of 20 children, 8 play chess, 9 play carrom and 4 play both. How many play only chess?
  11. 11.In a group of 45 children, 22 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  12. 12.In a group of 29 grown-ups, 11 drink tea, 18 drink coffee and 2 drink both. How many drink only tea?
  13. 13.In a group of 48 children, 25 enjoy drawing, 20 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  14. 14.In a group of 54 children, 23 play chess, 31 play carrom and 11 play both. How many play at least one of the two?
  15. 15.In a group of 46 children, 20 play cricket, 19 play football and 2 play both. How many play only football?
  16. 16.In a group of 47 children, 18 sing Hindi songs, 18 sing English songs and 3 sing both. How many sing only English songs?
  17. 17.In a group of 46 children, 21 sing Hindi songs, 25 sing English songs and 6 sing both. How many sing only English songs?
  18. 18.In a group of 43 children, 19 enjoy drawing, 27 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  19. 19.In a group of 33 children, 21 play chess, 7 play carrom and 4 play both. How many play at least one of the two?
  20. 20.In a group of 32 children, 14 play chess, 18 play carrom and 7 play both. How many play exactly one of the two?
  21. 21.In a group of 34 children, 20 play cricket, 24 play football and 12 play both. How many play at least one of the two?
  22. 22.In a group of 27 children, 21 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing at least one of the two?
  23. 23.In a group of 39 children, 20 play cricket, 20 play football and 4 play both. How many play only football?
  24. 24.In a group of 49 children, 31 play chess, 22 play carrom and 12 play both. How many play only carrom?
  25. 25.In a group of 33 children, 19 play cricket, 20 play football and 11 play both. How many play at least one of the two?
  26. 26.In a group of 27 grown-ups, 16 drink tea, 16 drink coffee and 11 drink both. How many drink at least one of the two?
  27. 27.In a group of 26 children, 17 sing Hindi songs, 9 sing English songs and 2 sing both. How many sing neither of the two?
  28. 28.In a group of 27 grown-ups, 10 drink tea, 8 drink coffee and 5 drink both. How many drink at least one of the two?
  29. 29.In a group of 29 children, 15 like mangoes, 14 like bananas and 9 like both. How many like only mangoes?
  30. 30.In a group of 47 children, 15 play chess, 28 play carrom and 10 play both. How many play only carrom?
  31. 31.In a group of 43 children, 14 sing Hindi songs, 26 sing English songs and 10 sing both. How many sing only Hindi songs?
  32. 32.In a group of 40 grown-ups, 14 drink tea, 22 drink coffee and 11 drink both. How many drink only tea?
  33. 33.In a group of 39 children, 22 sing Hindi songs, 15 sing English songs and 12 sing both. How many sing exactly one of the two?
  34. 34.In a group of 48 children, 21 play cricket, 29 play football and 11 play both. How many play at least one of the two?
  35. 35.In a group of 33 children, 16 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing only Hindi songs?
  36. 36.In a group of 40 children, 24 play cricket, 17 play football and 9 play both. How many play only cricket?
  37. 37.In a group of 53 grown-ups, 27 drink tea, 24 drink coffee and 7 drink both. How many drink at least one of the two?
  38. 38.In a group of 27 children, 13 like mangoes, 13 like bananas and 7 like both. How many like exactly one of the two?
  39. 39.In a group of 20 children, 13 play cricket, 11 play football and 5 play both. How many play neither of the two?
  40. 40.In a group of 33 children, 24 sing Hindi songs, 9 sing English songs and 6 sing both. How many sing neither of the two?

Answer key

  1. 45
  2. 8
  3. 6
  4. 14
  5. 21
  6. 12
  7. 36
  8. 28
  9. 11
  10. 4
  11. 9
  12. 9
  13. 12
  14. 43
  15. 17
  16. 15
  17. 19
  18. 15
  19. 24
  20. 18
  21. 32
  22. 25
  23. 16
  24. 10
  25. 28
  26. 21
  27. 2
  28. 13
  29. 6
  30. 18
  31. 4
  32. 3
  33. 13
  34. 39
  35. 9
  36. 15
  37. 44
  38. 12
  39. 1
  40. 6

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