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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 538 · 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 grown-ups, 22 drink tea, 24 drink coffee and 4 drink both. How many drink at least one of the two?
  2. 2.In a group of 50 children, 24 play chess, 18 play carrom and 7 play both. How many play exactly one of the two?
  3. 3.In a group of 29 grown-ups, 8 drink tea, 20 drink coffee and 3 drink both. How many drink only coffee?
  4. 4.In a group of 38 children, 12 like mangoes, 16 like bananas and 4 like both. How many like neither of the two?
  5. 5.In a group of 34 grown-ups, 18 drink tea, 11 drink coffee and 3 drink both. How many drink only tea?
  6. 6.In a group of 45 children, 23 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  7. 7.In a group of 58 children, 31 play chess, 27 play carrom and 12 play both. How many play only carrom?
  8. 8.In a group of 30 grown-ups, 23 drink tea, 10 drink coffee and 7 drink both. How many drink neither of the two?
  9. 9.In a group of 39 children, 27 like mangoes, 19 like bananas and 8 like both. How many like neither of the two?
  10. 10.In a group of 37 children, 18 enjoy drawing, 25 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  11. 11.In a group of 38 children, 31 play cricket, 16 play football and 11 play both. How many play at least one of the two?
  12. 12.In a group of 32 children, 9 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing only Hindi songs?
  13. 13.In a group of 39 children, 20 like mangoes, 12 like bananas and 8 like both. How many like exactly one of the two?
  14. 14.In a group of 45 children, 29 like mangoes, 22 like bananas and 10 like both. How many like only bananas?
  15. 15.In a group of 40 grown-ups, 6 drink tea, 22 drink coffee and 3 drink both. How many drink only tea?
  16. 16.In a group of 40 children, 21 enjoy drawing, 26 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  17. 17.In a group of 43 children, 25 like mangoes, 21 like bananas and 8 like both. How many like at least one of the two?
  18. 18.In a group of 33 children, 12 play cricket, 22 play football and 5 play both. How many play exactly one of the two?
  19. 19.In a group of 42 children, 26 enjoy drawing, 16 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  20. 20.In a group of 52 children, 21 play cricket, 20 play football and 3 play both. How many play only football?
  21. 21.In a group of 42 children, 25 sing Hindi songs, 25 sing English songs and 9 sing both. How many sing only English songs?
  22. 22.In a group of 59 children, 24 play chess, 29 play carrom and 9 play both. How many play only chess?
  23. 23.In a group of 34 children, 24 like mangoes, 14 like bananas and 8 like both. How many like only mangoes?
  24. 24.In a group of 41 children, 17 like mangoes, 21 like bananas and 8 like both. How many like neither of the two?
  25. 25.In a group of 35 children, 20 enjoy drawing, 17 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 36 children, 29 enjoy drawing, 13 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 33 children, 19 play cricket, 12 play football and 5 play both. How many play only football?
  28. 28.In a group of 37 children, 11 sing Hindi songs, 21 sing English songs and 7 sing both. How many sing at least one of the two?
  29. 29.In a group of 28 children, 15 like mangoes, 5 like bananas and 2 like both. How many like only mangoes?
  30. 30.In a group of 32 children, 13 play cricket, 22 play football and 8 play both. How many play only football?
  31. 31.In a group of 36 children, 25 sing Hindi songs, 20 sing English songs and 12 sing both. How many sing at least one of the two?
  32. 32.In a group of 21 grown-ups, 11 drink tea, 13 drink coffee and 5 drink both. How many drink only tea?
  33. 33.In a group of 32 children, 9 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing only English songs?
  34. 34.In a group of 35 children, 15 enjoy drawing, 22 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  35. 35.In a group of 28 children, 10 play cricket, 7 play football and 3 play both. How many play exactly one of the two?
  36. 36.In a group of 23 children, 16 play cricket, 7 play football and 4 play both. How many play only football?
  37. 37.In a group of 32 children, 13 enjoy drawing, 18 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 47 children, 23 play cricket, 22 play football and 10 play both. How many play exactly one of the two?
  39. 39.In a group of 49 children, 29 like mangoes, 30 like bananas and 12 like both. How many like at least one of the two?
  40. 40.In a group of 39 children, 13 play chess, 24 play carrom and 5 play both. How many play neither of the two?

Answer key

  1. 42
  2. 28
  3. 17
  4. 14
  5. 15
  6. 15
  7. 15
  8. 4
  9. 1
  10. 23
  11. 36
  12. 5
  13. 16
  14. 12
  15. 3
  16. 4
  17. 38
  18. 24
  19. 36
  20. 17
  21. 16
  22. 15
  23. 16
  24. 11
  25. 32
  26. 3
  27. 7
  28. 25
  29. 13
  30. 14
  31. 33
  32. 6
  33. 16
  34. 9
  35. 11
  36. 3
  37. 5
  38. 25
  39. 47
  40. 7

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