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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 585 · 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 29 children, 23 play chess, 7 play carrom and 4 play both. How many play neither of the two?
  2. 2.In a group of 34 grown-ups, 19 drink tea, 9 drink coffee and 3 drink both. How many drink only tea?
  3. 3.In a group of 35 children, 15 play cricket, 21 play football and 9 play both. How many play only football?
  4. 4.In a group of 31 children, 22 play chess, 7 play carrom and 4 play both. How many play neither of the two?
  5. 5.In a group of 39 children, 16 sing Hindi songs, 25 sing English songs and 9 sing both. How many sing only Hindi songs?
  6. 6.In a group of 41 children, 25 like mangoes, 25 like bananas and 11 like both. How many like only mangoes?
  7. 7.In a group of 34 children, 24 enjoy drawing, 15 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  8. 8.In a group of 40 children, 25 play chess, 14 play carrom and 9 play both. How many play exactly one of the two?
  9. 9.In a group of 33 children, 18 sing Hindi songs, 9 sing English songs and 2 sing both. How many sing exactly one of the two?
  10. 10.In a group of 35 children, 19 like mangoes, 16 like bananas and 10 like both. How many like exactly one of the two?
  11. 11.In a group of 49 children, 27 sing Hindi songs, 16 sing English songs and 7 sing both. How many sing only Hindi songs?
  12. 12.In a group of 32 grown-ups, 25 drink tea, 17 drink coffee and 11 drink both. How many drink only coffee?
  13. 13.In a group of 28 children, 12 like mangoes, 11 like bananas and 2 like both. How many like only bananas?
  14. 14.In a group of 43 children, 25 play cricket, 15 play football and 8 play both. How many play only football?
  15. 15.In a group of 43 grown-ups, 26 drink tea, 24 drink coffee and 10 drink both. How many drink only tea?
  16. 16.In a group of 33 grown-ups, 9 drink tea, 22 drink coffee and 3 drink both. How many drink only tea?
  17. 17.In a group of 38 grown-ups, 16 drink tea, 24 drink coffee and 8 drink both. How many drink only coffee?
  18. 18.In a group of 43 children, 19 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  19. 19.In a group of 27 children, 17 play cricket, 14 play football and 6 play both. How many play at least one of the two?
  20. 20.In a group of 44 children, 12 enjoy drawing, 24 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 30 children, 18 play cricket, 16 play football and 10 play both. How many play at least one of the two?
  22. 22.In a group of 34 children, 24 play chess, 10 play carrom and 5 play both. How many play exactly one of the two?
  23. 23.In a group of 37 children, 23 like mangoes, 23 like bananas and 12 like both. How many like only mangoes?
  24. 24.In a group of 45 children, 23 enjoy drawing, 31 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 42 children, 27 like mangoes, 21 like bananas and 8 like both. How many like neither of the two?
  26. 26.In a group of 37 children, 23 play cricket, 13 play football and 8 play both. How many play only cricket?
  27. 27.In a group of 35 children, 17 play cricket, 14 play football and 6 play both. How many play only cricket?
  28. 28.In a group of 51 grown-ups, 30 drink tea, 23 drink coffee and 10 drink both. How many drink at least one of the two?
  29. 29.In a group of 40 children, 21 enjoy drawing, 15 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  30. 30.In a group of 30 children, 10 play cricket, 18 play football and 7 play both. How many play exactly one of the two?
  31. 31.In a group of 38 children, 13 play chess, 28 play carrom and 8 play both. How many play exactly one of the two?
  32. 32.In a group of 51 children, 21 play chess, 20 play carrom and 5 play both. How many play neither of the two?
  33. 33.In a group of 50 children, 23 play cricket, 17 play football and 5 play both. How many play neither of the two?
  34. 34.In a group of 25 children, 17 like mangoes, 11 like bananas and 5 like both. How many like exactly one of the two?
  35. 35.In a group of 46 children, 31 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing exactly one of the two?
  36. 36.In a group of 47 children, 28 sing Hindi songs, 16 sing English songs and 10 sing both. How many sing at least one of the two?
  37. 37.In a group of 17 children, 11 play chess, 10 play carrom and 5 play both. How many play neither of the two?
  38. 38.In a group of 23 children, 16 like mangoes, 15 like bananas and 12 like both. How many like exactly one of the two?
  39. 39.In a group of 39 children, 17 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing at least one of the two?
  40. 40.In a group of 26 children, 11 enjoy drawing, 11 enjoy dancing and 8 enjoy both. How many enjoy only dancing?

Answer key

  1. 3
  2. 16
  3. 12
  4. 6
  5. 7
  6. 14
  7. 5
  8. 21
  9. 23
  10. 15
  11. 20
  12. 6
  13. 9
  14. 7
  15. 16
  16. 6
  17. 16
  18. 28
  19. 25
  20. 7
  21. 24
  22. 24
  23. 11
  24. 20
  25. 2
  26. 15
  27. 11
  28. 43
  29. 11
  30. 14
  31. 25
  32. 15
  33. 15
  34. 18
  35. 23
  36. 34
  37. 1
  38. 7
  39. 33
  40. 3

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