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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 299 · 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 33 children, 8 play chess, 16 play carrom and 3 play both. How many play only carrom?
  2. 2.In a group of 49 children, 30 sing Hindi songs, 22 sing English songs and 12 sing both. How many sing neither of the two?
  3. 3.In a group of 49 children, 27 play chess, 28 play carrom and 11 play both. How many play exactly one of the two?
  4. 4.In a group of 43 children, 9 play cricket, 26 play football and 6 play both. How many play only cricket?
  5. 5.In a group of 39 children, 17 like mangoes, 17 like bananas and 9 like both. How many like at least one of the two?
  6. 6.In a group of 51 children, 29 sing Hindi songs, 17 sing English songs and 10 sing both. How many sing only English songs?
  7. 7.In a group of 37 children, 26 enjoy drawing, 16 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 46 children, 20 like mangoes, 20 like bananas and 7 like both. How many like at least one of the two?
  9. 9.In a group of 46 children, 17 sing Hindi songs, 26 sing English songs and 10 sing both. How many sing at least one of the two?
  10. 10.In a group of 46 grown-ups, 19 drink tea, 24 drink coffee and 5 drink both. How many drink exactly one of the two?
  11. 11.In a group of 44 children, 23 play cricket, 28 play football and 8 play both. How many play only football?
  12. 12.In a group of 31 children, 18 like mangoes, 15 like bananas and 9 like both. How many like only mangoes?
  13. 13.In a group of 38 children, 18 like mangoes, 21 like bananas and 10 like both. How many like only bananas?
  14. 14.In a group of 33 children, 24 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing only Hindi songs?
  15. 15.In a group of 22 grown-ups, 11 drink tea, 17 drink coffee and 8 drink both. How many drink only tea?
  16. 16.In a group of 33 children, 18 play chess, 7 play carrom and 3 play both. How many play only carrom?
  17. 17.In a group of 25 children, 11 enjoy drawing, 17 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  18. 18.In a group of 29 children, 18 play cricket, 17 play football and 12 play both. How many play only cricket?
  19. 19.In a group of 54 children, 27 play chess, 22 play carrom and 8 play both. How many play only chess?
  20. 20.In a group of 47 children, 24 play chess, 23 play carrom and 12 play both. How many play only chess?
  21. 21.In a group of 31 children, 23 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing at least one of the two?
  22. 22.In a group of 41 children, 20 play chess, 8 play carrom and 2 play both. How many play only chess?
  23. 23.In a group of 37 children, 22 play chess, 26 play carrom and 12 play both. How many play only chess?
  24. 24.In a group of 28 children, 21 enjoy drawing, 14 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  25. 25.In a group of 36 grown-ups, 21 drink tea, 16 drink coffee and 9 drink both. How many drink only coffee?
  26. 26.In a group of 41 children, 17 play cricket, 18 play football and 5 play both. How many play exactly one of the two?
  27. 27.In a group of 36 children, 23 play chess, 22 play carrom and 12 play both. How many play exactly one of the two?
  28. 28.In a group of 27 children, 12 enjoy drawing, 11 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 33 children, 22 like mangoes, 16 like bananas and 9 like both. How many like only mangoes?
  30. 30.In a group of 28 children, 20 play cricket, 8 play football and 3 play both. How many play only football?
  31. 31.In a group of 29 children, 14 sing Hindi songs, 11 sing English songs and 8 sing both. How many sing exactly one of the two?
  32. 32.In a group of 44 children, 25 sing Hindi songs, 24 sing English songs and 6 sing both. How many sing neither of the two?
  33. 33.In a group of 42 children, 24 sing Hindi songs, 16 sing English songs and 6 sing both. How many sing exactly one of the two?
  34. 34.In a group of 33 children, 23 play chess, 17 play carrom and 8 play both. How many play neither of the two?
  35. 35.In a group of 36 children, 15 play chess, 22 play carrom and 4 play both. How many play exactly one of the two?
  36. 36.In a group of 24 children, 17 like mangoes, 15 like bananas and 10 like both. How many like at least one of the two?
  37. 37.In a group of 25 children, 18 sing Hindi songs, 15 sing English songs and 12 sing both. How many sing only Hindi songs?
  38. 38.In a group of 28 grown-ups, 18 drink tea, 13 drink coffee and 7 drink both. How many drink exactly one of the two?
  39. 39.In a group of 18 children, 10 like mangoes, 12 like bananas and 5 like both. How many like exactly one of the two?
  40. 40.In a group of 36 children, 9 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing only Hindi songs?

Answer key

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

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