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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 534 · 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 39 children, 13 play cricket, 22 play football and 7 play both. How many play only cricket?
  2. 2.In a group of 34 children, 10 play cricket, 23 play football and 3 play both. How many play at least one of the two?
  3. 3.In a group of 29 children, 11 enjoy drawing, 20 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  4. 4.In a group of 27 children, 16 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  5. 5.In a group of 40 children, 16 like mangoes, 27 like bananas and 7 like both. How many like only mangoes?
  6. 6.In a group of 50 children, 21 like mangoes, 27 like bananas and 7 like both. How many like only bananas?
  7. 7.In a group of 47 grown-ups, 21 drink tea, 17 drink coffee and 4 drink both. How many drink neither of the two?
  8. 8.In a group of 34 children, 17 play cricket, 16 play football and 12 play both. How many play neither of the two?
  9. 9.In a group of 47 grown-ups, 30 drink tea, 27 drink coffee and 12 drink both. How many drink exactly one of the two?
  10. 10.In a group of 42 children, 20 play cricket, 14 play football and 6 play both. How many play only cricket?
  11. 11.In a group of 38 children, 18 like mangoes, 10 like bananas and 4 like both. How many like at least one of the two?
  12. 12.In a group of 42 children, 20 play chess, 17 play carrom and 10 play both. How many play at least one of the two?
  13. 13.In a group of 17 grown-ups, 7 drink tea, 7 drink coffee and 3 drink both. How many drink neither of the two?
  14. 14.In a group of 55 children, 22 enjoy drawing, 21 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 49 children, 21 play cricket, 24 play football and 9 play both. How many play only cricket?
  16. 16.In a group of 41 children, 27 enjoy drawing, 22 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  17. 17.In a group of 43 children, 20 play cricket, 21 play football and 9 play both. How many play neither of the two?
  18. 18.In a group of 36 children, 26 like mangoes, 16 like bananas and 7 like both. How many like exactly one of the two?
  19. 19.In a group of 35 children, 19 enjoy drawing, 18 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  20. 20.In a group of 25 grown-ups, 10 drink tea, 8 drink coffee and 2 drink both. How many drink only tea?
  21. 21.In a group of 40 children, 11 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  22. 22.In a group of 54 children, 27 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  23. 23.In a group of 43 children, 29 sing Hindi songs, 18 sing English songs and 12 sing both. How many sing exactly one of the two?
  24. 24.In a group of 31 children, 14 like mangoes, 22 like bananas and 9 like both. How many like only bananas?
  25. 25.In a group of 43 children, 24 like mangoes, 15 like bananas and 8 like both. How many like at least one of the two?
  26. 26.In a group of 39 children, 8 play chess, 21 play carrom and 3 play both. How many play only carrom?
  27. 27.In a group of 21 children, 9 play cricket, 12 play football and 3 play both. How many play at least one of the two?
  28. 28.In a group of 46 children, 28 play chess, 13 play carrom and 10 play both. How many play only carrom?
  29. 29.In a group of 54 grown-ups, 28 drink tea, 27 drink coffee and 12 drink both. How many drink neither of the two?
  30. 30.In a group of 35 children, 13 play chess, 16 play carrom and 7 play both. How many play exactly one of the two?
  31. 31.In a group of 41 children, 20 like mangoes, 25 like bananas and 6 like both. How many like at least one of the two?
  32. 32.In a group of 28 children, 21 enjoy drawing, 8 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  33. 33.In a group of 42 children, 30 enjoy drawing, 22 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 26 grown-ups, 7 drink tea, 13 drink coffee and 4 drink both. How many drink neither of the two?
  35. 35.In a group of 39 children, 13 play cricket, 15 play football and 2 play both. How many play neither of the two?
  36. 36.In a group of 26 children, 11 play cricket, 14 play football and 3 play both. How many play exactly one of the two?
  37. 37.In a group of 53 children, 28 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 39 grown-ups, 28 drink tea, 16 drink coffee and 11 drink both. How many drink only tea?
  39. 39.In a group of 27 children, 21 like mangoes, 15 like bananas and 12 like both. How many like only mangoes?
  40. 40.In a group of 37 children, 24 like mangoes, 17 like bananas and 9 like both. How many like only bananas?

Answer key

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

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