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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 479 · 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 22 children, 8 like mangoes, 16 like bananas and 4 like both. How many like only mangoes?
  2. 2.In a group of 23 children, 17 like mangoes, 12 like bananas and 7 like both. How many like neither of the two?
  3. 3.In a group of 45 children, 23 enjoy drawing, 26 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 35 children, 19 play cricket, 13 play football and 4 play both. How many play only football?
  5. 5.In a group of 51 children, 31 play cricket, 19 play football and 11 play both. How many play neither of the two?
  6. 6.In a group of 37 children, 15 like mangoes, 26 like bananas and 7 like both. How many like exactly one of the two?
  7. 7.In a group of 54 children, 20 play cricket, 30 play football and 10 play both. How many play only football?
  8. 8.In a group of 26 children, 10 play cricket, 12 play football and 4 play both. How many play only cricket?
  9. 9.In a group of 17 children, 11 enjoy drawing, 7 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  10. 10.In a group of 37 children, 29 sing Hindi songs, 16 sing English songs and 12 sing both. How many sing only English songs?
  11. 11.In a group of 34 children, 27 enjoy drawing, 17 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  12. 12.In a group of 39 children, 16 play chess, 18 play carrom and 2 play both. How many play only chess?
  13. 13.In a group of 26 children, 20 play cricket, 12 play football and 9 play both. How many play at least one of the two?
  14. 14.In a group of 40 children, 17 play chess, 26 play carrom and 11 play both. How many play at least one of the two?
  15. 15.In a group of 37 grown-ups, 21 drink tea, 8 drink coffee and 4 drink both. How many drink only tea?
  16. 16.In a group of 35 children, 19 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  17. 17.In a group of 34 children, 20 enjoy drawing, 11 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  18. 18.In a group of 44 children, 23 like mangoes, 20 like bananas and 7 like both. How many like neither of the two?
  19. 19.In a group of 37 children, 10 play chess, 25 play carrom and 5 play both. How many play neither of the two?
  20. 20.In a group of 22 grown-ups, 7 drink tea, 6 drink coffee and 2 drink both. How many drink only tea?
  21. 21.In a group of 35 children, 17 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  22. 22.In a group of 37 children, 16 like mangoes, 19 like bananas and 9 like both. How many like neither of the two?
  23. 23.In a group of 31 children, 12 like mangoes, 23 like bananas and 8 like both. How many like exactly one of the two?
  24. 24.In a group of 52 children, 24 play chess, 20 play carrom and 4 play both. How many play at least one of the two?
  25. 25.In a group of 36 children, 18 enjoy drawing, 23 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  26. 26.In a group of 35 children, 25 play cricket, 10 play football and 7 play both. How many play only football?
  27. 27.In a group of 34 grown-ups, 25 drink tea, 17 drink coffee and 9 drink both. How many drink neither of the two?
  28. 28.In a group of 39 children, 23 like mangoes, 26 like bananas and 11 like both. How many like neither of the two?
  29. 29.In a group of 37 children, 22 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  30. 30.In a group of 30 children, 11 enjoy drawing, 9 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 47 children, 21 sing Hindi songs, 22 sing English songs and 7 sing both. How many sing only Hindi songs?
  32. 32.In a group of 45 children, 27 enjoy drawing, 14 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  33. 33.In a group of 32 children, 20 play chess, 17 play carrom and 9 play both. How many play only carrom?
  34. 34.In a group of 27 children, 14 enjoy drawing, 10 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  35. 35.In a group of 37 children, 18 play chess, 23 play carrom and 11 play both. How many play exactly one of the two?
  36. 36.In a group of 47 grown-ups, 19 drink tea, 26 drink coffee and 11 drink both. How many drink exactly one of the two?
  37. 37.In a group of 30 grown-ups, 10 drink tea, 20 drink coffee and 5 drink both. How many drink only coffee?
  38. 38.In a group of 44 children, 19 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 30 children, 6 play cricket, 16 play football and 3 play both. How many play at least one of the two?
  40. 40.In a group of 43 grown-ups, 13 drink tea, 30 drink coffee and 10 drink both. How many drink only tea?

Answer key

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

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