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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 373 · 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 45 children, 19 play cricket, 21 play football and 2 play both. How many play only cricket?
  2. 2.In a group of 25 grown-ups, 7 drink tea, 14 drink coffee and 2 drink both. How many drink only tea?
  3. 3.In a group of 52 grown-ups, 29 drink tea, 19 drink coffee and 11 drink both. How many drink only coffee?
  4. 4.In a group of 30 grown-ups, 22 drink tea, 15 drink coffee and 12 drink both. How many drink only tea?
  5. 5.In a group of 49 children, 22 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  6. 6.In a group of 37 children, 17 play cricket, 21 play football and 4 play both. How many play at least one of the two?
  7. 7.In a group of 36 children, 13 play cricket, 29 play football and 9 play both. How many play at least one of the two?
  8. 8.In a group of 42 children, 15 play chess, 24 play carrom and 10 play both. How many play neither of the two?
  9. 9.In a group of 49 children, 25 play chess, 16 play carrom and 6 play both. How many play only carrom?
  10. 10.In a group of 31 children, 18 play chess, 8 play carrom and 2 play both. How many play only chess?
  11. 11.In a group of 33 children, 15 like mangoes, 18 like bananas and 3 like both. How many like neither of the two?
  12. 12.In a group of 31 children, 14 play cricket, 16 play football and 4 play both. How many play neither of the two?
  13. 13.In a group of 55 grown-ups, 27 drink tea, 26 drink coffee and 7 drink both. How many drink only tea?
  14. 14.In a group of 54 grown-ups, 30 drink tea, 32 drink coffee and 12 drink both. How many drink at least one of the two?
  15. 15.In a group of 42 children, 19 like mangoes, 27 like bananas and 8 like both. How many like at least one of the two?
  16. 16.In a group of 44 children, 20 enjoy drawing, 22 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  17. 17.In a group of 50 children, 20 play cricket, 21 play football and 6 play both. How many play only football?
  18. 18.In a group of 18 children, 9 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing only English songs?
  19. 19.In a group of 39 children, 16 play chess, 28 play carrom and 8 play both. How many play at least one of the two?
  20. 20.In a group of 29 grown-ups, 12 drink tea, 13 drink coffee and 7 drink both. How many drink only tea?
  21. 21.In a group of 38 children, 22 sing Hindi songs, 19 sing English songs and 6 sing both. How many sing exactly one of the two?
  22. 22.In a group of 43 children, 26 play cricket, 17 play football and 6 play both. How many play exactly one of the two?
  23. 23.In a group of 43 children, 20 play cricket, 25 play football and 12 play both. How many play at least one of the two?
  24. 24.In a group of 35 children, 13 like mangoes, 25 like bananas and 5 like both. How many like neither of the two?
  25. 25.In a group of 55 grown-ups, 28 drink tea, 23 drink coffee and 8 drink both. How many drink exactly one of the two?
  26. 26.In a group of 37 children, 22 like mangoes, 23 like bananas and 10 like both. How many like exactly one of the two?
  27. 27.In a group of 32 children, 16 play cricket, 13 play football and 4 play both. How many play only cricket?
  28. 28.In a group of 55 children, 25 play chess, 28 play carrom and 8 play both. How many play exactly one of the two?
  29. 29.In a group of 55 children, 22 play cricket, 29 play football and 11 play both. How many play neither of the two?
  30. 30.In a group of 45 children, 27 sing Hindi songs, 19 sing English songs and 8 sing both. How many sing at least one of the two?
  31. 31.In a group of 46 children, 23 like mangoes, 20 like bananas and 8 like both. How many like exactly one of the two?
  32. 32.In a group of 42 grown-ups, 18 drink tea, 22 drink coffee and 9 drink both. How many drink neither of the two?
  33. 33.In a group of 43 children, 28 play cricket, 16 play football and 8 play both. How many play exactly one of the two?
  34. 34.In a group of 50 children, 31 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  35. 35.In a group of 37 children, 31 play cricket, 16 play football and 12 play both. How many play neither of the two?
  36. 36.In a group of 37 grown-ups, 18 drink tea, 16 drink coffee and 11 drink both. How many drink only tea?
  37. 37.In a group of 37 children, 10 play chess, 22 play carrom and 4 play both. How many play neither of the two?
  38. 38.In a group of 45 children, 20 play cricket, 15 play football and 2 play both. How many play only cricket?
  39. 39.In a group of 35 children, 15 play chess, 16 play carrom and 3 play both. How many play neither of the two?
  40. 40.In a group of 23 children, 10 sing Hindi songs, 18 sing English songs and 7 sing both. How many sing only English songs?

Answer key

  1. 17
  2. 5
  3. 8
  4. 10
  5. 12
  6. 34
  7. 33
  8. 13
  9. 10
  10. 16
  11. 3
  12. 5
  13. 20
  14. 50
  15. 38
  16. 26
  17. 15
  18. 6
  19. 36
  20. 5
  21. 29
  22. 31
  23. 33
  24. 2
  25. 35
  26. 25
  27. 12
  28. 37
  29. 15
  30. 38
  31. 27
  32. 11
  33. 28
  34. 10
  35. 2
  36. 7
  37. 9
  38. 18
  39. 7
  40. 11

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