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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 413 · 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 49 children, 25 play chess, 26 play carrom and 8 play both. How many play only chess?
  2. 2.In a group of 48 children, 27 enjoy drawing, 23 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 46 children, 25 play chess, 29 play carrom and 10 play both. How many play neither of the two?
  4. 4.In a group of 30 children, 15 play cricket, 13 play football and 8 play both. How many play only cricket?
  5. 5.In a group of 30 children, 7 like mangoes, 21 like bananas and 2 like both. How many like only mangoes?
  6. 6.In a group of 37 children, 21 play cricket, 22 play football and 9 play both. How many play exactly one of the two?
  7. 7.In a group of 23 children, 14 play chess, 14 play carrom and 11 play both. How many play exactly one of the two?
  8. 8.In a group of 37 grown-ups, 19 drink tea, 19 drink coffee and 11 drink both. How many drink exactly one of the two?
  9. 9.In a group of 44 children, 20 sing Hindi songs, 25 sing English songs and 10 sing both. How many sing at least one of the two?
  10. 10.In a group of 37 grown-ups, 18 drink tea, 16 drink coffee and 2 drink both. How many drink at least one of the two?
  11. 11.In a group of 45 children, 26 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing exactly one of the two?
  12. 12.In a group of 43 children, 24 sing Hindi songs, 23 sing English songs and 7 sing both. How many sing only English songs?
  13. 13.In a group of 37 children, 24 like mangoes, 17 like bananas and 5 like both. How many like only bananas?
  14. 14.In a group of 42 children, 26 play cricket, 15 play football and 8 play both. How many play only football?
  15. 15.In a group of 41 children, 26 play cricket, 12 play football and 9 play both. How many play at least one of the two?
  16. 16.In a group of 23 children, 15 play chess, 11 play carrom and 8 play both. How many play only carrom?
  17. 17.In a group of 33 children, 15 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  18. 18.In a group of 36 children, 23 play cricket, 16 play football and 7 play both. How many play only cricket?
  19. 19.In a group of 41 children, 20 play chess, 17 play carrom and 10 play both. How many play only chess?
  20. 20.In a group of 30 grown-ups, 15 drink tea, 20 drink coffee and 7 drink both. How many drink only coffee?
  21. 21.In a group of 43 children, 11 play cricket, 25 play football and 6 play both. How many play at least one of the two?
  22. 22.In a group of 26 children, 9 play chess, 9 play carrom and 2 play both. How many play exactly one of the two?
  23. 23.In a group of 36 children, 10 play chess, 16 play carrom and 3 play both. How many play neither of the two?
  24. 24.In a group of 50 children, 23 like mangoes, 29 like bananas and 12 like both. How many like only bananas?
  25. 25.In a group of 34 children, 16 enjoy drawing, 19 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 40 children, 22 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing only Hindi songs?
  27. 27.In a group of 49 children, 19 sing Hindi songs, 21 sing English songs and 6 sing both. How many sing only English songs?
  28. 28.In a group of 35 grown-ups, 18 drink tea, 15 drink coffee and 11 drink both. How many drink at least one of the two?
  29. 29.In a group of 31 children, 13 sing Hindi songs, 10 sing English songs and 6 sing both. How many sing only Hindi songs?
  30. 30.In a group of 29 children, 12 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  31. 31.In a group of 36 children, 15 enjoy drawing, 24 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  32. 32.In a group of 43 children, 27 play chess, 17 play carrom and 11 play both. How many play only chess?
  33. 33.In a group of 22 grown-ups, 7 drink tea, 17 drink coffee and 4 drink both. How many drink at least one of the two?
  34. 34.In a group of 28 grown-ups, 17 drink tea, 11 drink coffee and 7 drink both. How many drink only tea?
  35. 35.In a group of 44 children, 20 enjoy drawing, 13 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 42 children, 22 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  37. 37.In a group of 53 children, 28 enjoy drawing, 20 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 41 children, 17 like mangoes, 21 like bananas and 10 like both. How many like only bananas?
  39. 39.In a group of 31 children, 7 enjoy drawing, 16 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 23 children, 13 like mangoes, 9 like bananas and 4 like both. How many like only bananas?

Answer key

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

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