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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 558 · 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 26 grown-ups, 6 drink tea, 11 drink coffee and 2 drink both. How many drink only tea?
  2. 2.In a group of 42 grown-ups, 23 drink tea, 20 drink coffee and 3 drink both. How many drink exactly one of the two?
  3. 3.In a group of 51 children, 29 sing Hindi songs, 18 sing English songs and 11 sing both. How many sing exactly one of the two?
  4. 4.In a group of 43 children, 21 like mangoes, 20 like bananas and 7 like both. How many like only bananas?
  5. 5.In a group of 34 children, 18 play cricket, 18 play football and 6 play both. How many play neither of the two?
  6. 6.In a group of 30 children, 13 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  7. 7.In a group of 29 children, 13 sing Hindi songs, 23 sing English songs and 9 sing both. How many sing only Hindi songs?
  8. 8.In a group of 36 children, 11 like mangoes, 24 like bananas and 7 like both. How many like at least one of the two?
  9. 9.In a group of 34 children, 17 play chess, 9 play carrom and 3 play both. How many play only chess?
  10. 10.In a group of 32 grown-ups, 11 drink tea, 23 drink coffee and 3 drink both. How many drink neither of the two?
  11. 11.In a group of 37 children, 19 like mangoes, 23 like bananas and 8 like both. How many like at least one of the two?
  12. 12.In a group of 40 grown-ups, 14 drink tea, 18 drink coffee and 2 drink both. How many drink neither of the two?
  13. 13.In a group of 31 children, 15 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  14. 14.In a group of 43 children, 22 enjoy drawing, 21 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 35 children, 14 play cricket, 16 play football and 7 play both. How many play neither of the two?
  16. 16.In a group of 38 children, 15 enjoy drawing, 18 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  17. 17.In a group of 58 children, 24 play chess, 30 play carrom and 10 play both. How many play only chess?
  18. 18.In a group of 31 children, 16 enjoy drawing, 19 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  19. 19.In a group of 47 children, 23 like mangoes, 17 like bananas and 3 like both. How many like only mangoes?
  20. 20.In a group of 29 children, 9 play cricket, 24 play football and 5 play both. How many play only football?
  21. 21.In a group of 43 children, 19 sing Hindi songs, 19 sing English songs and 8 sing both. How many sing only English songs?
  22. 22.In a group of 25 children, 5 play cricket, 8 play football and 2 play both. How many play at least one of the two?
  23. 23.In a group of 39 grown-ups, 23 drink tea, 8 drink coffee and 3 drink both. How many drink only coffee?
  24. 24.In a group of 36 children, 18 enjoy drawing, 27 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  25. 25.In a group of 22 children, 7 play chess, 8 play carrom and 4 play both. How many play exactly one of the two?
  26. 26.In a group of 32 children, 13 enjoy drawing, 18 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  27. 27.In a group of 39 children, 17 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing only Hindi songs?
  28. 28.In a group of 26 children, 13 enjoy drawing, 14 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 36 grown-ups, 12 drink tea, 17 drink coffee and 7 drink both. How many drink only coffee?
  30. 30.In a group of 51 children, 28 enjoy drawing, 22 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  31. 31.In a group of 36 children, 11 play cricket, 15 play football and 3 play both. How many play exactly one of the two?
  32. 32.In a group of 48 children, 17 enjoy drawing, 21 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  33. 33.In a group of 40 children, 18 enjoy drawing, 20 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  34. 34.In a group of 38 children, 16 play chess, 16 play carrom and 9 play both. How many play exactly one of the two?
  35. 35.In a group of 46 children, 18 like mangoes, 20 like bananas and 6 like both. How many like neither of the two?
  36. 36.In a group of 43 children, 19 play chess, 12 play carrom and 2 play both. How many play only chess?
  37. 37.In a group of 36 children, 23 play cricket, 15 play football and 3 play both. How many play only football?
  38. 38.In a group of 29 children, 17 play chess, 13 play carrom and 10 play both. How many play only chess?
  39. 39.In a group of 24 children, 15 play cricket, 11 play football and 4 play both. How many play only football?
  40. 40.In a group of 40 children, 14 play chess, 25 play carrom and 10 play both. How many play only carrom?

Answer key

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

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