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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 623 · 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 37 children, 8 enjoy drawing, 23 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  2. 2.In a group of 42 children, 17 play cricket, 27 play football and 11 play both. How many play only cricket?
  3. 3.In a group of 38 children, 12 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 47 grown-ups, 23 drink tea, 23 drink coffee and 4 drink both. How many drink only coffee?
  5. 5.In a group of 43 children, 29 play chess, 12 play carrom and 9 play both. How many play only carrom?
  6. 6.In a group of 21 grown-ups, 12 drink tea, 5 drink coffee and 2 drink both. How many drink exactly one of the two?
  7. 7.In a group of 44 children, 26 sing Hindi songs, 17 sing English songs and 9 sing both. How many sing neither of the two?
  8. 8.In a group of 27 children, 12 play chess, 13 play carrom and 4 play both. How many play at least one of the two?
  9. 9.In a group of 36 children, 23 play chess, 6 play carrom and 3 play both. How many play only chess?
  10. 10.In a group of 18 children, 10 play cricket, 6 play football and 3 play both. How many play exactly one of the two?
  11. 11.In a group of 24 children, 12 play cricket, 7 play football and 3 play both. How many play at least one of the two?
  12. 12.In a group of 41 children, 18 like mangoes, 13 like bananas and 2 like both. How many like exactly one of the two?
  13. 13.In a group of 27 children, 13 play cricket, 11 play football and 7 play both. How many play at least one of the two?
  14. 14.In a group of 54 children, 26 sing Hindi songs, 26 sing English songs and 7 sing both. How many sing only Hindi songs?
  15. 15.In a group of 36 children, 14 play cricket, 18 play football and 3 play both. How many play at least one of the two?
  16. 16.In a group of 44 children, 27 sing Hindi songs, 28 sing English songs and 12 sing both. How many sing at least one of the two?
  17. 17.In a group of 37 children, 12 play chess, 23 play carrom and 8 play both. How many play exactly one of the two?
  18. 18.In a group of 27 children, 16 like mangoes, 10 like bananas and 6 like both. How many like exactly one of the two?
  19. 19.In a group of 30 children, 16 like mangoes, 5 like bananas and 2 like both. How many like only mangoes?
  20. 20.In a group of 18 children, 9 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing only Hindi songs?
  21. 21.In a group of 44 children, 20 sing Hindi songs, 25 sing English songs and 6 sing both. How many sing only English songs?
  22. 22.In a group of 28 children, 17 sing Hindi songs, 18 sing English songs and 11 sing both. How many sing only English songs?
  23. 23.In a group of 22 children, 14 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  24. 24.In a group of 24 children, 10 play cricket, 19 play football and 7 play both. How many play only cricket?
  25. 25.In a group of 25 children, 10 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 31 children, 19 play cricket, 14 play football and 8 play both. How many play exactly one of the two?
  27. 27.In a group of 24 children, 13 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  28. 28.In a group of 24 grown-ups, 7 drink tea, 19 drink coffee and 4 drink both. How many drink at least one of the two?
  29. 29.In a group of 42 children, 15 play cricket, 26 play football and 10 play both. How many play neither of the two?
  30. 30.In a group of 43 children, 22 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing only Hindi songs?
  31. 31.In a group of 42 children, 30 play chess, 13 play carrom and 10 play both. How many play only carrom?
  32. 32.In a group of 31 children, 19 play chess, 6 play carrom and 3 play both. How many play only chess?
  33. 33.In a group of 44 grown-ups, 10 drink tea, 22 drink coffee and 3 drink both. How many drink only tea?
  34. 34.In a group of 45 children, 16 play cricket, 27 play football and 11 play both. How many play only cricket?
  35. 35.In a group of 44 children, 28 play chess, 20 play carrom and 10 play both. How many play at least one of the two?
  36. 36.In a group of 41 children, 20 sing Hindi songs, 17 sing English songs and 2 sing both. How many sing only Hindi songs?
  37. 37.In a group of 32 children, 17 like mangoes, 6 like bananas and 3 like both. How many like at least one of the two?
  38. 38.In a group of 46 children, 24 like mangoes, 24 like bananas and 11 like both. How many like exactly one of the two?
  39. 39.In a group of 34 children, 16 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  40. 40.In a group of 38 children, 24 enjoy drawing, 25 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?

Answer key

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

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