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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 595 · 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 39 children, 11 play chess, 21 play carrom and 5 play both. How many play only chess?
  2. 2.In a group of 51 children, 27 play chess, 26 play carrom and 8 play both. How many play neither of the two?
  3. 3.In a group of 36 children, 18 enjoy drawing, 20 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  4. 4.In a group of 28 children, 8 play chess, 9 play carrom and 2 play both. How many play exactly one of the two?
  5. 5.In a group of 37 grown-ups, 21 drink tea, 14 drink coffee and 9 drink both. How many drink at least one of the two?
  6. 6.In a group of 43 grown-ups, 26 drink tea, 21 drink coffee and 8 drink both. How many drink neither of the two?
  7. 7.In a group of 33 children, 7 play cricket, 21 play football and 2 play both. How many play only cricket?
  8. 8.In a group of 30 children, 13 like mangoes, 22 like bananas and 6 like both. How many like only mangoes?
  9. 9.In a group of 26 children, 16 play cricket, 15 play football and 10 play both. How many play only football?
  10. 10.In a group of 34 children, 13 like mangoes, 28 like bananas and 8 like both. How many like neither of the two?
  11. 11.In a group of 46 children, 29 like mangoes, 14 like bananas and 11 like both. How many like neither of the two?
  12. 12.In a group of 35 children, 11 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing only Hindi songs?
  13. 13.In a group of 33 grown-ups, 8 drink tea, 18 drink coffee and 2 drink both. How many drink exactly one of the two?
  14. 14.In a group of 25 children, 9 play chess, 10 play carrom and 5 play both. How many play only chess?
  15. 15.In a group of 35 children, 13 like mangoes, 26 like bananas and 10 like both. How many like only mangoes?
  16. 16.In a group of 40 children, 19 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  17. 17.In a group of 36 children, 25 play chess, 13 play carrom and 5 play both. How many play exactly one of the two?
  18. 18.In a group of 54 children, 21 sing Hindi songs, 29 sing English songs and 9 sing both. How many sing only Hindi songs?
  19. 19.In a group of 46 grown-ups, 15 drink tea, 29 drink coffee and 11 drink both. How many drink only coffee?
  20. 20.In a group of 44 children, 19 sing Hindi songs, 28 sing English songs and 8 sing both. How many sing only English songs?
  21. 21.In a group of 43 children, 15 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 33 children, 17 like mangoes, 9 like bananas and 3 like both. How many like neither of the two?
  23. 23.In a group of 45 children, 24 like mangoes, 12 like bananas and 6 like both. How many like only mangoes?
  24. 24.In a group of 42 grown-ups, 20 drink tea, 26 drink coffee and 8 drink both. How many drink only tea?
  25. 25.In a group of 36 children, 24 like mangoes, 17 like bananas and 10 like both. How many like exactly one of the two?
  26. 26.In a group of 35 grown-ups, 12 drink tea, 26 drink coffee and 8 drink both. How many drink exactly one of the two?
  27. 27.In a group of 42 children, 14 sing Hindi songs, 20 sing English songs and 7 sing both. How many sing only Hindi songs?
  28. 28.In a group of 26 grown-ups, 7 drink tea, 19 drink coffee and 2 drink both. How many drink only tea?
  29. 29.In a group of 37 grown-ups, 13 drink tea, 21 drink coffee and 6 drink both. How many drink exactly one of the two?
  30. 30.In a group of 40 children, 17 like mangoes, 22 like bananas and 12 like both. How many like exactly one of the two?
  31. 31.In a group of 20 children, 5 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  32. 32.In a group of 19 children, 9 play cricket, 12 play football and 4 play both. How many play only cricket?
  33. 33.In a group of 39 children, 16 like mangoes, 26 like bananas and 10 like both. How many like exactly one of the two?
  34. 34.In a group of 43 children, 17 play chess, 23 play carrom and 5 play both. How many play only carrom?
  35. 35.In a group of 41 children, 20 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing only Hindi songs?
  36. 36.In a group of 31 grown-ups, 10 drink tea, 16 drink coffee and 5 drink both. How many drink only tea?
  37. 37.In a group of 41 children, 17 sing Hindi songs, 25 sing English songs and 7 sing both. How many sing only Hindi songs?
  38. 38.In a group of 50 children, 25 play chess, 21 play carrom and 9 play both. How many play neither of the two?
  39. 39.In a group of 38 grown-ups, 13 drink tea, 23 drink coffee and 6 drink both. How many drink only coffee?
  40. 40.In a group of 46 grown-ups, 28 drink tea, 16 drink coffee and 11 drink both. How many drink only tea?

Answer key

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

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