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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 385 · 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 25 children, 10 play cricket, 17 play football and 5 play both. How many play only football?
  2. 2.In a group of 37 children, 17 play cricket, 20 play football and 5 play both. How many play only football?
  3. 3.In a group of 27 children, 17 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 44 children, 21 sing Hindi songs, 22 sing English songs and 6 sing both. How many sing only Hindi songs?
  5. 5.In a group of 31 children, 15 play cricket, 12 play football and 8 play both. How many play exactly one of the two?
  6. 6.In a group of 35 children, 19 enjoy drawing, 20 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  7. 7.In a group of 25 children, 16 play cricket, 10 play football and 6 play both. How many play only cricket?
  8. 8.In a group of 39 children, 19 play cricket, 19 play football and 11 play both. How many play neither of the two?
  9. 9.In a group of 30 children, 17 play chess, 11 play carrom and 8 play both. How many play exactly one of the two?
  10. 10.In a group of 27 children, 11 like mangoes, 14 like bananas and 2 like both. How many like only mangoes?
  11. 11.In a group of 40 children, 19 enjoy drawing, 15 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  12. 12.In a group of 53 children, 25 play chess, 26 play carrom and 10 play both. How many play only chess?
  13. 13.In a group of 29 children, 17 play chess, 15 play carrom and 8 play both. How many play only carrom?
  14. 14.In a group of 41 children, 16 enjoy drawing, 29 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  15. 15.In a group of 44 children, 26 play cricket, 18 play football and 11 play both. How many play neither of the two?
  16. 16.In a group of 30 grown-ups, 16 drink tea, 14 drink coffee and 3 drink both. How many drink only tea?
  17. 17.In a group of 36 children, 24 like mangoes, 18 like bananas and 8 like both. How many like only mangoes?
  18. 18.In a group of 35 children, 19 play cricket, 22 play football and 12 play both. How many play only football?
  19. 19.In a group of 31 children, 18 enjoy drawing, 10 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  20. 20.In a group of 33 children, 22 play chess, 16 play carrom and 11 play both. How many play exactly one of the two?
  21. 21.In a group of 40 grown-ups, 21 drink tea, 14 drink coffee and 5 drink both. How many drink only tea?
  22. 22.In a group of 30 children, 17 play chess, 19 play carrom and 12 play both. How many play at least one of the two?
  23. 23.In a group of 29 grown-ups, 9 drink tea, 21 drink coffee and 2 drink both. How many drink exactly one of the two?
  24. 24.In a group of 27 children, 16 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  25. 25.In a group of 43 children, 12 like mangoes, 21 like bananas and 4 like both. How many like neither of the two?
  26. 26.In a group of 32 children, 14 like mangoes, 16 like bananas and 9 like both. How many like exactly one of the two?
  27. 27.In a group of 41 children, 26 like mangoes, 17 like bananas and 6 like both. How many like at least one of the two?
  28. 28.In a group of 26 children, 10 play chess, 19 play carrom and 6 play both. How many play exactly one of the two?
  29. 29.In a group of 20 children, 16 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 20 children, 9 play chess, 7 play carrom and 4 play both. How many play neither of the two?
  31. 31.In a group of 30 children, 7 like mangoes, 19 like bananas and 2 like both. How many like exactly one of the two?
  32. 32.In a group of 23 children, 12 play chess, 10 play carrom and 6 play both. How many play neither of the two?
  33. 33.In a group of 39 children, 20 play chess, 15 play carrom and 9 play both. How many play at least one of the two?
  34. 34.In a group of 24 children, 17 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  35. 35.In a group of 33 grown-ups, 16 drink tea, 23 drink coffee and 11 drink both. How many drink at least one of the two?
  36. 36.In a group of 33 grown-ups, 26 drink tea, 11 drink coffee and 6 drink both. How many drink only tea?
  37. 37.In a group of 48 children, 23 play chess, 30 play carrom and 11 play both. How many play only carrom?
  38. 38.In a group of 41 children, 26 play cricket, 14 play football and 6 play both. How many play only cricket?
  39. 39.In a group of 35 children, 26 sing Hindi songs, 15 sing English songs and 11 sing both. How many sing only Hindi songs?
  40. 40.In a group of 25 children, 9 play cricket, 18 play football and 3 play both. How many play only cricket?

Answer key

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

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