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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 424 · 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 32 children, 8 like mangoes, 13 like bananas and 3 like both. How many like only bananas?
  2. 2.In a group of 38 children, 11 like mangoes, 19 like bananas and 4 like both. How many like at least one of the two?
  3. 3.In a group of 26 children, 15 like mangoes, 14 like bananas and 10 like both. How many like neither of the two?
  4. 4.In a group of 28 children, 16 like mangoes, 17 like bananas and 9 like both. How many like at least one of the two?
  5. 5.In a group of 42 children, 21 enjoy drawing, 17 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  6. 6.In a group of 38 children, 21 play cricket, 23 play football and 9 play both. How many play only cricket?
  7. 7.In a group of 48 children, 24 play chess, 25 play carrom and 9 play both. How many play at least one of the two?
  8. 8.In a group of 43 children, 16 play cricket, 18 play football and 6 play both. How many play at least one of the two?
  9. 9.In a group of 32 grown-ups, 7 drink tea, 17 drink coffee and 2 drink both. How many drink only coffee?
  10. 10.In a group of 40 children, 28 like mangoes, 21 like bananas and 12 like both. How many like only bananas?
  11. 11.In a group of 34 children, 23 play cricket, 10 play football and 5 play both. How many play exactly one of the two?
  12. 12.In a group of 36 children, 7 enjoy drawing, 16 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 44 children, 25 like mangoes, 23 like bananas and 11 like both. How many like at least one of the two?
  14. 14.In a group of 47 children, 26 like mangoes, 18 like bananas and 10 like both. How many like only bananas?
  15. 15.In a group of 39 children, 18 like mangoes, 20 like bananas and 6 like both. How many like at least one of the two?
  16. 16.In a group of 32 children, 15 play cricket, 10 play football and 4 play both. How many play only football?
  17. 17.In a group of 49 children, 18 like mangoes, 22 like bananas and 4 like both. How many like neither of the two?
  18. 18.In a group of 21 children, 7 like mangoes, 13 like bananas and 4 like both. How many like only mangoes?
  19. 19.In a group of 29 children, 9 play cricket, 16 play football and 3 play both. How many play only cricket?
  20. 20.In a group of 40 children, 14 play cricket, 24 play football and 10 play both. How many play only football?
  21. 21.In a group of 50 children, 24 sing Hindi songs, 25 sing English songs and 11 sing both. How many sing only Hindi songs?
  22. 22.In a group of 25 children, 10 play cricket, 11 play football and 2 play both. How many play only cricket?
  23. 23.In a group of 36 children, 24 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 23 children, 7 play cricket, 9 play football and 3 play both. How many play neither of the two?
  25. 25.In a group of 26 children, 14 play cricket, 13 play football and 8 play both. How many play neither of the two?
  26. 26.In a group of 29 children, 10 play chess, 13 play carrom and 4 play both. How many play neither of the two?
  27. 27.In a group of 54 children, 26 like mangoes, 26 like bananas and 6 like both. How many like only mangoes?
  28. 28.In a group of 32 children, 16 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  29. 29.In a group of 46 children, 19 play chess, 21 play carrom and 3 play both. How many play exactly one of the two?
  30. 30.In a group of 58 children, 26 enjoy drawing, 28 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 46 children, 26 enjoy drawing, 17 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  32. 32.In a group of 38 children, 16 play chess, 15 play carrom and 3 play both. How many play only chess?
  33. 33.In a group of 30 children, 22 play chess, 12 play carrom and 7 play both. How many play neither of the two?
  34. 34.In a group of 32 grown-ups, 24 drink tea, 12 drink coffee and 6 drink both. How many drink exactly one of the two?
  35. 35.In a group of 49 children, 22 like mangoes, 24 like bananas and 11 like both. How many like at least one of the two?
  36. 36.In a group of 44 children, 10 play cricket, 23 play football and 4 play both. How many play exactly one of the two?
  37. 37.In a group of 55 children, 28 play chess, 23 play carrom and 8 play both. How many play only carrom?
  38. 38.In a group of 47 children, 24 enjoy drawing, 25 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  39. 39.In a group of 44 children, 26 play cricket, 14 play football and 8 play both. How many play only cricket?
  40. 40.In a group of 48 grown-ups, 23 drink tea, 19 drink coffee and 4 drink both. How many drink only coffee?

Answer key

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

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