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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 339 · 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 18 children, 11 play cricket, 12 play football and 7 play both. How many play only cricket?
  2. 2.In a group of 28 children, 15 like mangoes, 16 like bananas and 10 like both. How many like neither of the two?
  3. 3.In a group of 37 children, 26 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  4. 4.In a group of 28 children, 21 sing Hindi songs, 9 sing English songs and 5 sing both. How many sing only Hindi songs?
  5. 5.In a group of 41 children, 23 enjoy drawing, 6 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  6. 6.In a group of 29 children, 14 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  7. 7.In a group of 42 children, 22 like mangoes, 20 like bananas and 3 like both. How many like only mangoes?
  8. 8.In a group of 28 children, 14 play chess, 17 play carrom and 10 play both. How many play at least one of the two?
  9. 9.In a group of 43 grown-ups, 19 drink tea, 23 drink coffee and 8 drink both. How many drink only tea?
  10. 10.In a group of 33 children, 22 enjoy drawing, 10 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  11. 11.In a group of 47 grown-ups, 21 drink tea, 25 drink coffee and 6 drink both. How many drink neither of the two?
  12. 12.In a group of 43 children, 19 play chess, 23 play carrom and 5 play both. How many play neither of the two?
  13. 13.In a group of 36 grown-ups, 20 drink tea, 12 drink coffee and 9 drink both. How many drink only tea?
  14. 14.In a group of 40 children, 17 sing Hindi songs, 27 sing English songs and 9 sing both. How many sing exactly one of the two?
  15. 15.In a group of 41 children, 22 enjoy drawing, 13 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  16. 16.In a group of 44 grown-ups, 19 drink tea, 20 drink coffee and 10 drink both. How many drink only coffee?
  17. 17.In a group of 26 children, 12 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 38 children, 15 play chess, 22 play carrom and 9 play both. How many play only carrom?
  19. 19.In a group of 28 children, 13 play cricket, 11 play football and 5 play both. How many play at least one of the two?
  20. 20.In a group of 34 children, 15 sing Hindi songs, 16 sing English songs and 2 sing both. How many sing at least one of the two?
  21. 21.In a group of 29 children, 15 like mangoes, 9 like bananas and 4 like both. How many like neither of the two?
  22. 22.In a group of 31 children, 19 sing Hindi songs, 7 sing English songs and 3 sing both. How many sing exactly one of the two?
  23. 23.In a group of 40 children, 14 play chess, 27 play carrom and 10 play both. How many play only carrom?
  24. 24.In a group of 48 children, 27 play cricket, 22 play football and 7 play both. How many play only football?
  25. 25.In a group of 39 grown-ups, 20 drink tea, 21 drink coffee and 4 drink both. How many drink only coffee?
  26. 26.In a group of 36 children, 24 play cricket, 10 play football and 4 play both. How many play neither of the two?
  27. 27.In a group of 48 children, 26 enjoy drawing, 24 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  28. 28.In a group of 36 children, 19 play chess, 14 play carrom and 11 play both. How many play exactly one of the two?
  29. 29.In a group of 32 children, 19 play chess, 5 play carrom and 2 play both. How many play only carrom?
  30. 30.In a group of 38 grown-ups, 17 drink tea, 20 drink coffee and 4 drink both. How many drink at least one of the two?
  31. 31.In a group of 36 children, 20 play cricket, 24 play football and 11 play both. How many play only cricket?
  32. 32.In a group of 39 children, 29 play chess, 21 play carrom and 12 play both. How many play only carrom?
  33. 33.In a group of 32 children, 15 play chess, 19 play carrom and 12 play both. How many play at least one of the two?
  34. 34.In a group of 22 children, 5 play chess, 18 play carrom and 2 play both. How many play exactly one of the two?
  35. 35.In a group of 45 children, 21 sing Hindi songs, 21 sing English songs and 4 sing both. How many sing neither of the two?
  36. 36.In a group of 24 grown-ups, 15 drink tea, 11 drink coffee and 8 drink both. How many drink at least one of the two?
  37. 37.In a group of 31 grown-ups, 19 drink tea, 11 drink coffee and 7 drink both. How many drink only tea?
  38. 38.In a group of 41 grown-ups, 14 drink tea, 15 drink coffee and 3 drink both. How many drink only tea?
  39. 39.In a group of 42 children, 23 play chess, 18 play carrom and 8 play both. How many play neither of the two?
  40. 40.In a group of 50 children, 26 like mangoes, 24 like bananas and 10 like both. How many like only mangoes?

Answer key

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

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