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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 363 · 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 42 children, 22 play cricket, 19 play football and 4 play both. How many play only football?
  2. 2.In a group of 29 grown-ups, 22 drink tea, 7 drink coffee and 2 drink both. How many drink only tea?
  3. 3.In a group of 43 children, 19 like mangoes, 26 like bananas and 12 like both. How many like at least one of the two?
  4. 4.In a group of 45 grown-ups, 23 drink tea, 22 drink coffee and 12 drink both. How many drink only coffee?
  5. 5.In a group of 48 children, 22 play cricket, 28 play football and 9 play both. How many play exactly one of the two?
  6. 6.In a group of 32 children, 20 play cricket, 15 play football and 5 play both. How many play neither of the two?
  7. 7.In a group of 43 children, 26 play chess, 14 play carrom and 9 play both. How many play exactly one of the two?
  8. 8.In a group of 39 children, 13 play chess, 25 play carrom and 7 play both. How many play only carrom?
  9. 9.In a group of 31 children, 23 play cricket, 13 play football and 9 play both. How many play at least one of the two?
  10. 10.In a group of 46 children, 29 like mangoes, 20 like bananas and 12 like both. How many like exactly one of the two?
  11. 11.In a group of 36 children, 25 play cricket, 16 play football and 11 play both. How many play only cricket?
  12. 12.In a group of 42 children, 23 sing Hindi songs, 13 sing English songs and 8 sing both. How many sing only Hindi songs?
  13. 13.In a group of 40 grown-ups, 20 drink tea, 24 drink coffee and 12 drink both. How many drink only coffee?
  14. 14.In a group of 15 children, 7 play chess, 6 play carrom and 2 play both. How many play exactly one of the two?
  15. 15.In a group of 27 children, 11 play cricket, 13 play football and 6 play both. How many play only cricket?
  16. 16.In a group of 22 children, 6 like mangoes, 18 like bananas and 3 like both. How many like exactly one of the two?
  17. 17.In a group of 26 children, 12 play chess, 16 play carrom and 4 play both. How many play only carrom?
  18. 18.In a group of 43 children, 26 sing Hindi songs, 16 sing English songs and 7 sing both. How many sing only Hindi songs?
  19. 19.In a group of 38 children, 24 play chess, 13 play carrom and 4 play both. How many play neither of the two?
  20. 20.In a group of 37 children, 16 sing Hindi songs, 13 sing English songs and 4 sing both. How many sing only Hindi songs?
  21. 21.In a group of 20 children, 12 like mangoes, 11 like bananas and 6 like both. How many like exactly one of the two?
  22. 22.In a group of 27 children, 15 enjoy drawing, 17 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 26 children, 15 play cricket, 21 play football and 11 play both. How many play only football?
  24. 24.In a group of 25 children, 17 sing Hindi songs, 16 sing English songs and 9 sing both. How many sing exactly one of the two?
  25. 25.In a group of 54 children, 21 sing Hindi songs, 31 sing English songs and 12 sing both. How many sing neither of the two?
  26. 26.In a group of 52 children, 24 play cricket, 29 play football and 11 play both. How many play only cricket?
  27. 27.In a group of 23 children, 9 play chess, 10 play carrom and 6 play both. How many play only chess?
  28. 28.In a group of 28 children, 16 play chess, 15 play carrom and 11 play both. How many play only chess?
  29. 29.In a group of 38 children, 28 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 37 grown-ups, 22 drink tea, 14 drink coffee and 2 drink both. How many drink only tea?
  31. 31.In a group of 33 children, 13 enjoy drawing, 21 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  32. 32.In a group of 52 children, 25 sing Hindi songs, 28 sing English songs and 8 sing both. How many sing neither of the two?
  33. 33.In a group of 30 children, 19 play chess, 21 play carrom and 11 play both. How many play only chess?
  34. 34.In a group of 46 children, 13 sing Hindi songs, 23 sing English songs and 3 sing both. How many sing only English songs?
  35. 35.In a group of 45 children, 20 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 33 children, 17 play cricket, 19 play football and 8 play both. How many play only cricket?
  37. 37.In a group of 24 children, 16 like mangoes, 15 like bananas and 11 like both. How many like at least one of the two?
  38. 38.In a group of 49 children, 25 sing Hindi songs, 16 sing English songs and 7 sing both. How many sing neither of the two?
  39. 39.In a group of 25 children, 9 play chess, 10 play carrom and 5 play both. How many play only chess?
  40. 40.In a group of 35 children, 22 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?

Answer key

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

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