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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 688 · 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 grown-ups, 22 drink tea, 19 drink coffee and 8 drink both. How many drink neither of the two?
  2. 2.In a group of 29 children, 9 play chess, 12 play carrom and 6 play both. How many play only carrom?
  3. 3.In a group of 27 children, 17 play cricket, 11 play football and 2 play both. How many play only football?
  4. 4.In a group of 46 children, 17 play cricket, 22 play football and 4 play both. How many play exactly one of the two?
  5. 5.In a group of 45 children, 28 sing Hindi songs, 22 sing English songs and 9 sing both. How many sing neither of the two?
  6. 6.In a group of 33 children, 26 play chess, 10 play carrom and 6 play both. How many play at least one of the two?
  7. 7.In a group of 38 children, 15 enjoy drawing, 16 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  8. 8.In a group of 27 children, 11 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 39 children, 14 play cricket, 21 play football and 10 play both. How many play only cricket?
  10. 10.In a group of 36 children, 12 play cricket, 22 play football and 6 play both. How many play at least one of the two?
  11. 11.In a group of 42 children, 22 play chess, 23 play carrom and 12 play both. How many play neither of the two?
  12. 12.In a group of 30 children, 12 play cricket, 19 play football and 2 play both. How many play at least one of the two?
  13. 13.In a group of 31 grown-ups, 12 drink tea, 20 drink coffee and 2 drink both. How many drink only coffee?
  14. 14.In a group of 28 children, 14 play chess, 21 play carrom and 11 play both. How many play only carrom?
  15. 15.In a group of 33 children, 10 play cricket, 20 play football and 4 play both. How many play neither of the two?
  16. 16.In a group of 22 children, 6 like mangoes, 9 like bananas and 2 like both. How many like only mangoes?
  17. 17.In a group of 32 children, 17 play chess, 13 play carrom and 9 play both. How many play only chess?
  18. 18.In a group of 39 children, 17 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  19. 19.In a group of 32 children, 5 enjoy drawing, 14 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 29 children, 12 play cricket, 18 play football and 7 play both. How many play only football?
  21. 21.In a group of 34 children, 21 enjoy drawing, 18 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  22. 22.In a group of 33 children, 11 play cricket, 19 play football and 4 play both. How many play only cricket?
  23. 23.In a group of 57 children, 26 sing Hindi songs, 30 sing English songs and 12 sing both. How many sing at least one of the two?
  24. 24.In a group of 34 children, 16 play chess, 29 play carrom and 12 play both. How many play at least one of the two?
  25. 25.In a group of 30 children, 9 play cricket, 16 play football and 5 play both. How many play only cricket?
  26. 26.In a group of 49 children, 23 play cricket, 16 play football and 5 play both. How many play at least one of the two?
  27. 27.In a group of 13 grown-ups, 8 drink tea, 6 drink coffee and 3 drink both. How many drink only tea?
  28. 28.In a group of 19 children, 14 like mangoes, 10 like bananas and 6 like both. How many like only mangoes?
  29. 29.In a group of 41 children, 14 play chess, 19 play carrom and 7 play both. How many play only chess?
  30. 30.In a group of 34 grown-ups, 22 drink tea, 18 drink coffee and 7 drink both. How many drink only coffee?
  31. 31.In a group of 21 children, 11 like mangoes, 13 like bananas and 6 like both. How many like only bananas?
  32. 32.In a group of 31 grown-ups, 14 drink tea, 11 drink coffee and 4 drink both. How many drink only tea?
  33. 33.In a group of 42 children, 13 like mangoes, 28 like bananas and 9 like both. How many like exactly one of the two?
  34. 34.In a group of 13 children, 7 sing Hindi songs, 7 sing English songs and 2 sing both. How many sing only Hindi songs?
  35. 35.In a group of 46 children, 16 play cricket, 20 play football and 2 play both. How many play only football?
  36. 36.In a group of 51 children, 20 play cricket, 27 play football and 7 play both. How many play at least one of the two?
  37. 37.In a group of 48 children, 24 play chess, 22 play carrom and 10 play both. How many play exactly one of the two?
  38. 38.In a group of 37 children, 11 enjoy drawing, 15 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  39. 39.In a group of 24 children, 15 like mangoes, 9 like bananas and 3 like both. How many like exactly one of the two?
  40. 40.In a group of 41 children, 31 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?

Answer key

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

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