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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 141 · 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 34 children, 12 play chess, 20 play carrom and 9 play both. How many play at least one of the two?
  2. 2.In a group of 47 children, 25 like mangoes, 16 like bananas and 8 like both. How many like neither of the two?
  3. 3.In a group of 37 children, 11 play chess, 20 play carrom and 5 play both. How many play exactly one of the two?
  4. 4.In a group of 33 children, 17 sing Hindi songs, 15 sing English songs and 7 sing both. How many sing exactly one of the two?
  5. 5.In a group of 22 children, 9 sing Hindi songs, 16 sing English songs and 5 sing both. How many sing exactly one of the two?
  6. 6.In a group of 44 children, 21 play chess, 18 play carrom and 4 play both. How many play at least one of the two?
  7. 7.In a group of 27 children, 17 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing at least one of the two?
  8. 8.In a group of 35 children, 22 like mangoes, 8 like bananas and 2 like both. How many like at least one of the two?
  9. 9.In a group of 29 grown-ups, 8 drink tea, 10 drink coffee and 3 drink both. How many drink neither of the two?
  10. 10.In a group of 43 children, 27 enjoy drawing, 16 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  11. 11.In a group of 42 children, 21 play cricket, 21 play football and 8 play both. How many play only cricket?
  12. 12.In a group of 47 children, 20 sing Hindi songs, 24 sing English songs and 6 sing both. How many sing only English songs?
  13. 13.In a group of 36 children, 17 like mangoes, 17 like bananas and 9 like both. How many like neither of the two?
  14. 14.In a group of 28 children, 7 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing only Hindi songs?
  15. 15.In a group of 46 children, 18 play cricket, 19 play football and 5 play both. How many play only football?
  16. 16.In a group of 21 children, 9 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  17. 17.In a group of 41 grown-ups, 17 drink tea, 17 drink coffee and 6 drink both. How many drink exactly one of the two?
  18. 18.In a group of 35 children, 12 play chess, 27 play carrom and 7 play both. How many play only carrom?
  19. 19.In a group of 39 children, 30 like mangoes, 16 like bananas and 11 like both. How many like at least one of the two?
  20. 20.In a group of 35 children, 18 like mangoes, 21 like bananas and 12 like both. How many like only mangoes?
  21. 21.In a group of 38 children, 17 play chess, 20 play carrom and 9 play both. How many play neither of the two?
  22. 22.In a group of 28 children, 17 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing neither of the two?
  23. 23.In a group of 35 grown-ups, 14 drink tea, 18 drink coffee and 3 drink both. How many drink only coffee?
  24. 24.In a group of 18 children, 10 like mangoes, 13 like bananas and 7 like both. How many like only mangoes?
  25. 25.In a group of 35 grown-ups, 15 drink tea, 17 drink coffee and 8 drink both. How many drink neither of the two?
  26. 26.In a group of 57 children, 28 play chess, 25 play carrom and 9 play both. How many play neither of the two?
  27. 27.In a group of 33 children, 10 enjoy drawing, 21 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  28. 28.In a group of 34 children, 19 enjoy drawing, 15 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 40 children, 18 like mangoes, 28 like bananas and 12 like both. How many like neither of the two?
  30. 30.In a group of 26 grown-ups, 11 drink tea, 16 drink coffee and 4 drink both. How many drink exactly one of the two?
  31. 31.In a group of 35 children, 14 play cricket, 16 play football and 4 play both. How many play at least one of the two?
  32. 32.In a group of 25 children, 15 play cricket, 10 play football and 5 play both. How many play exactly one of the two?
  33. 33.In a group of 44 children, 22 play cricket, 18 play football and 2 play both. How many play exactly one of the two?
  34. 34.In a group of 23 children, 8 play cricket, 7 play football and 3 play both. How many play exactly one of the two?
  35. 35.In a group of 34 children, 9 play cricket, 20 play football and 5 play both. How many play at least one of the two?
  36. 36.In a group of 20 children, 9 like mangoes, 13 like bananas and 5 like both. How many like at least one of the two?
  37. 37.In a group of 42 children, 19 play cricket, 27 play football and 11 play both. How many play only football?
  38. 38.In a group of 29 children, 23 play cricket, 8 play football and 3 play both. How many play exactly one of the two?
  39. 39.In a group of 37 grown-ups, 20 drink tea, 24 drink coffee and 12 drink both. How many drink neither of the two?
  40. 40.In a group of 31 children, 16 enjoy drawing, 15 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?

Answer key

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

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