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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 3 · 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 42 children, 26 play chess, 20 play carrom and 12 play both. How many play only carrom?
  2. 2.In a group of 26 grown-ups, 16 drink tea, 16 drink coffee and 7 drink both. How many drink only tea?
  3. 3.In a group of 55 children, 22 sing Hindi songs, 29 sing English songs and 10 sing both. How many sing exactly one of the two?
  4. 4.In a group of 41 children, 15 play chess, 16 play carrom and 4 play both. How many play at least one of the two?
  5. 5.In a group of 14 children, 7 play cricket, 8 play football and 4 play both. How many play exactly one of the two?
  6. 6.In a group of 28 children, 16 sing Hindi songs, 17 sing English songs and 11 sing both. How many sing at least one of the two?
  7. 7.In a group of 30 children, 16 play chess, 24 play carrom and 12 play both. How many play neither of the two?
  8. 8.In a group of 40 children, 12 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing only Hindi songs?
  9. 9.In a group of 32 children, 6 play chess, 18 play carrom and 2 play both. How many play only chess?
  10. 10.In a group of 33 children, 15 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  11. 11.In a group of 18 children, 13 sing Hindi songs, 12 sing English songs and 9 sing both. How many sing only English songs?
  12. 12.In a group of 44 grown-ups, 20 drink tea, 19 drink coffee and 7 drink both. How many drink neither of the two?
  13. 13.In a group of 45 children, 18 like mangoes, 28 like bananas and 11 like both. How many like only mangoes?
  14. 14.In a group of 21 children, 9 enjoy drawing, 6 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 40 children, 7 enjoy drawing, 23 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  16. 16.In a group of 28 children, 18 enjoy drawing, 6 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  17. 17.In a group of 43 children, 25 sing Hindi songs, 21 sing English songs and 6 sing both. How many sing neither of the two?
  18. 18.In a group of 27 children, 9 sing Hindi songs, 18 sing English songs and 3 sing both. How many sing neither of the two?
  19. 19.In a group of 26 children, 9 play cricket, 13 play football and 4 play both. How many play only cricket?
  20. 20.In a group of 43 children, 21 sing Hindi songs, 27 sing English songs and 7 sing both. How many sing only Hindi songs?
  21. 21.In a group of 27 grown-ups, 18 drink tea, 9 drink coffee and 4 drink both. How many drink exactly one of the two?
  22. 22.In a group of 31 children, 7 play cricket, 24 play football and 4 play both. How many play only cricket?
  23. 23.In a group of 42 children, 17 play chess, 28 play carrom and 8 play both. How many play neither of the two?
  24. 24.In a group of 23 children, 7 play chess, 5 play carrom and 2 play both. How many play only chess?
  25. 25.In a group of 21 children, 6 like mangoes, 17 like bananas and 3 like both. How many like neither of the two?
  26. 26.In a group of 43 children, 28 like mangoes, 21 like bananas and 8 like both. How many like only mangoes?
  27. 27.In a group of 26 children, 9 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  28. 28.In a group of 19 children, 13 enjoy drawing, 5 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  29. 29.In a group of 49 grown-ups, 18 drink tea, 22 drink coffee and 6 drink both. How many drink only tea?
  30. 30.In a group of 34 children, 21 like mangoes, 10 like bananas and 2 like both. How many like only bananas?
  31. 31.In a group of 59 grown-ups, 31 drink tea, 31 drink coffee and 12 drink both. How many drink exactly one of the two?
  32. 32.In a group of 34 grown-ups, 25 drink tea, 12 drink coffee and 6 drink both. How many drink at least one of the two?
  33. 33.In a group of 37 children, 8 play chess, 19 play carrom and 4 play both. How many play only chess?
  34. 34.In a group of 24 children, 11 sing Hindi songs, 13 sing English songs and 5 sing both. How many sing only Hindi songs?
  35. 35.In a group of 20 children, 14 play cricket, 6 play football and 2 play both. How many play only football?
  36. 36.In a group of 44 children, 23 enjoy drawing, 11 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  37. 37.In a group of 31 grown-ups, 9 drink tea, 16 drink coffee and 2 drink both. How many drink at least one of the two?
  38. 38.In a group of 35 children, 20 play chess, 14 play carrom and 2 play both. How many play neither of the two?
  39. 39.In a group of 40 children, 20 like mangoes, 26 like bananas and 9 like both. How many like only bananas?
  40. 40.In a group of 43 grown-ups, 13 drink tea, 21 drink coffee and 3 drink both. How many drink only tea?

Answer key

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

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