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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 667 · 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 35 grown-ups, 22 drink tea, 13 drink coffee and 4 drink both. How many drink only tea?
  2. 2.In a group of 44 children, 22 enjoy drawing, 28 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  3. 3.In a group of 30 children, 9 play cricket, 20 play football and 2 play both. How many play only cricket?
  4. 4.In a group of 40 children, 19 like mangoes, 11 like bananas and 3 like both. How many like exactly one of the two?
  5. 5.In a group of 39 children, 20 play cricket, 19 play football and 11 play both. How many play neither of the two?
  6. 6.In a group of 41 children, 25 play cricket, 20 play football and 6 play both. How many play neither of the two?
  7. 7.In a group of 35 children, 9 sing Hindi songs, 21 sing English songs and 3 sing both. How many sing only English songs?
  8. 8.In a group of 33 children, 18 play chess, 8 play carrom and 3 play both. How many play only chess?
  9. 9.In a group of 26 children, 11 play chess, 14 play carrom and 7 play both. How many play neither of the two?
  10. 10.In a group of 42 grown-ups, 21 drink tea, 23 drink coffee and 3 drink both. How many drink exactly one of the two?
  11. 11.In a group of 42 children, 25 sing Hindi songs, 17 sing English songs and 11 sing both. How many sing at least one of the two?
  12. 12.In a group of 23 grown-ups, 10 drink tea, 11 drink coffee and 3 drink both. How many drink neither of the two?
  13. 13.In a group of 12 children, 7 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 22 children, 12 play chess, 14 play carrom and 9 play both. How many play only carrom?
  15. 15.In a group of 61 children, 32 like mangoes, 32 like bananas and 12 like both. How many like neither of the two?
  16. 16.In a group of 33 grown-ups, 25 drink tea, 13 drink coffee and 10 drink both. How many drink neither of the two?
  17. 17.In a group of 29 children, 13 enjoy drawing, 15 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 35 children, 22 sing Hindi songs, 15 sing English songs and 8 sing both. How many sing exactly one of the two?
  19. 19.In a group of 22 children, 7 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  20. 20.In a group of 33 children, 17 play chess, 7 play carrom and 2 play both. How many play only chess?
  21. 21.In a group of 31 children, 14 enjoy drawing, 13 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 26 children, 15 play cricket, 6 play football and 3 play both. How many play exactly one of the two?
  23. 23.In a group of 23 children, 16 enjoy drawing, 15 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  24. 24.In a group of 34 grown-ups, 22 drink tea, 11 drink coffee and 7 drink both. How many drink only coffee?
  25. 25.In a group of 30 children, 18 play cricket, 9 play football and 3 play both. How many play exactly one of the two?
  26. 26.In a group of 18 children, 11 like mangoes, 8 like bananas and 3 like both. How many like neither of the two?
  27. 27.In a group of 24 children, 15 play cricket, 18 play football and 10 play both. How many play only cricket?
  28. 28.In a group of 42 children, 18 enjoy drawing, 27 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  29. 29.In a group of 53 children, 23 play cricket, 22 play football and 6 play both. How many play neither of the two?
  30. 30.In a group of 35 children, 26 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  31. 31.In a group of 26 children, 15 sing Hindi songs, 17 sing English songs and 8 sing both. How many sing only English songs?
  32. 32.In a group of 36 children, 17 play cricket, 24 play football and 11 play both. How many play exactly one of the two?
  33. 33.In a group of 51 children, 31 like mangoes, 29 like bananas and 12 like both. How many like neither of the two?
  34. 34.In a group of 43 children, 23 play chess, 12 play carrom and 7 play both. How many play neither of the two?
  35. 35.In a group of 49 children, 23 play cricket, 23 play football and 4 play both. How many play at least one of the two?
  36. 36.In a group of 58 grown-ups, 29 drink tea, 24 drink coffee and 10 drink both. How many drink at least one of the two?
  37. 37.In a group of 40 children, 23 play chess, 23 play carrom and 10 play both. How many play neither of the two?
  38. 38.In a group of 43 children, 13 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing only Hindi songs?
  39. 39.In a group of 26 children, 17 play cricket, 16 play football and 9 play both. How many play only cricket?
  40. 40.In a group of 42 children, 22 play cricket, 19 play football and 3 play both. How many play exactly one of the two?

Answer key

  1. 18
  2. 18
  3. 7
  4. 24
  5. 11
  6. 2
  7. 18
  8. 15
  9. 8
  10. 38
  11. 31
  12. 5
  13. 11
  14. 5
  15. 9
  16. 5
  17. 19
  18. 21
  19. 14
  20. 15
  21. 14
  22. 15
  23. 6
  24. 4
  25. 21
  26. 2
  27. 5
  28. 10
  29. 14
  30. 7
  31. 9
  32. 19
  33. 3
  34. 15
  35. 42
  36. 43
  37. 4
  38. 5
  39. 8
  40. 35

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