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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 616 · 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 36 children, 11 play chess, 22 play carrom and 4 play both. How many play neither of the two?
  2. 2.In a group of 37 children, 13 enjoy drawing, 23 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  3. 3.In a group of 39 grown-ups, 23 drink tea, 24 drink coffee and 10 drink both. How many drink only tea?
  4. 4.In a group of 31 children, 18 enjoy drawing, 17 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 29 children, 9 play cricket, 20 play football and 5 play both. How many play exactly one of the two?
  6. 6.In a group of 31 children, 15 sing Hindi songs, 12 sing English songs and 4 sing both. How many sing exactly one of the two?
  7. 7.In a group of 44 children, 19 sing Hindi songs, 21 sing English songs and 7 sing both. How many sing only English songs?
  8. 8.In a group of 32 children, 15 sing Hindi songs, 17 sing English songs and 4 sing both. How many sing exactly one of the two?
  9. 9.In a group of 38 grown-ups, 11 drink tea, 24 drink coffee and 5 drink both. How many drink exactly one of the two?
  10. 10.In a group of 45 grown-ups, 19 drink tea, 27 drink coffee and 11 drink both. How many drink only tea?
  11. 11.In a group of 48 children, 18 play cricket, 28 play football and 11 play both. How many play only football?
  12. 12.In a group of 33 grown-ups, 17 drink tea, 13 drink coffee and 6 drink both. How many drink at least one of the two?
  13. 13.In a group of 34 grown-ups, 18 drink tea, 20 drink coffee and 6 drink both. How many drink exactly one of the two?
  14. 14.In a group of 36 children, 22 sing Hindi songs, 10 sing English songs and 7 sing both. How many sing only Hindi songs?
  15. 15.In a group of 34 children, 9 like mangoes, 15 like bananas and 4 like both. How many like neither of the two?
  16. 16.In a group of 34 children, 16 play cricket, 14 play football and 3 play both. How many play only cricket?
  17. 17.In a group of 41 children, 18 play cricket, 23 play football and 7 play both. How many play only football?
  18. 18.In a group of 34 children, 15 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing at least one of the two?
  19. 19.In a group of 43 children, 21 play cricket, 20 play football and 7 play both. How many play only football?
  20. 20.In a group of 46 children, 27 enjoy drawing, 23 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  21. 21.In a group of 33 children, 13 enjoy drawing, 19 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 34 children, 11 sing Hindi songs, 26 sing English songs and 6 sing both. How many sing only Hindi songs?
  23. 23.In a group of 46 children, 19 play chess, 28 play carrom and 12 play both. How many play at least one of the two?
  24. 24.In a group of 24 children, 16 like mangoes, 15 like bananas and 12 like both. How many like neither of the two?
  25. 25.In a group of 38 children, 6 like mangoes, 21 like bananas and 2 like both. How many like exactly one of the two?
  26. 26.In a group of 36 children, 27 play chess, 16 play carrom and 11 play both. How many play exactly one of the two?
  27. 27.In a group of 49 children, 27 play cricket, 23 play football and 12 play both. How many play only football?
  28. 28.In a group of 41 children, 18 play cricket, 16 play football and 5 play both. How many play exactly one of the two?
  29. 29.In a group of 35 children, 17 play cricket, 16 play football and 12 play both. How many play exactly one of the two?
  30. 30.In a group of 15 children, 8 play cricket, 11 play football and 5 play both. How many play only football?
  31. 31.In a group of 30 children, 7 play cricket, 19 play football and 4 play both. How many play at least one of the two?
  32. 32.In a group of 35 children, 16 like mangoes, 18 like bananas and 7 like both. How many like only mangoes?
  33. 33.In a group of 13 children, 7 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing neither of the two?
  34. 34.In a group of 54 children, 19 play chess, 27 play carrom and 7 play both. How many play neither of the two?
  35. 35.In a group of 44 children, 13 enjoy drawing, 28 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  36. 36.In a group of 41 children, 19 like mangoes, 25 like bananas and 8 like both. How many like only mangoes?
  37. 37.In a group of 25 children, 14 play cricket, 16 play football and 6 play both. How many play at least one of the two?
  38. 38.In a group of 26 children, 11 play chess, 17 play carrom and 5 play both. How many play only carrom?
  39. 39.In a group of 37 grown-ups, 23 drink tea, 14 drink coffee and 3 drink both. How many drink at least one of the two?
  40. 40.In a group of 23 children, 11 sing Hindi songs, 13 sing English songs and 6 sing both. How many sing neither of the two?

Answer key

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

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