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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 283 · 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 42 children, 15 play cricket, 29 play football and 11 play both. How many play only cricket?
  2. 2.In a group of 42 children, 16 like mangoes, 23 like bananas and 4 like both. How many like only bananas?
  3. 3.In a group of 45 children, 25 like mangoes, 23 like bananas and 9 like both. How many like neither of the two?
  4. 4.In a group of 37 grown-ups, 9 drink tea, 18 drink coffee and 5 drink both. How many drink only coffee?
  5. 5.In a group of 34 children, 13 like mangoes, 24 like bananas and 7 like both. How many like exactly one of the two?
  6. 6.In a group of 21 children, 11 play cricket, 11 play football and 4 play both. How many play at least one of the two?
  7. 7.In a group of 50 children, 29 enjoy drawing, 29 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  8. 8.In a group of 38 children, 13 like mangoes, 13 like bananas and 3 like both. How many like only bananas?
  9. 9.In a group of 26 children, 8 enjoy drawing, 17 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  10. 10.In a group of 41 children, 20 play cricket, 14 play football and 2 play both. How many play only cricket?
  11. 11.In a group of 35 children, 16 like mangoes, 21 like bananas and 11 like both. How many like only mangoes?
  12. 12.In a group of 34 children, 27 play chess, 14 play carrom and 11 play both. How many play exactly one of the two?
  13. 13.In a group of 40 children, 25 sing Hindi songs, 14 sing English songs and 10 sing both. How many sing only English songs?
  14. 14.In a group of 31 children, 10 sing Hindi songs, 21 sing English songs and 5 sing both. How many sing only Hindi songs?
  15. 15.In a group of 30 grown-ups, 17 drink tea, 13 drink coffee and 2 drink both. How many drink only tea?
  16. 16.In a group of 43 children, 26 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing only Hindi songs?
  17. 17.In a group of 32 grown-ups, 17 drink tea, 20 drink coffee and 9 drink both. How many drink neither of the two?
  18. 18.In a group of 56 children, 21 sing Hindi songs, 32 sing English songs and 12 sing both. How many sing only Hindi songs?
  19. 19.In a group of 25 children, 12 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  20. 20.In a group of 41 children, 22 play cricket, 12 play football and 5 play both. How many play only cricket?
  21. 21.In a group of 42 children, 30 sing Hindi songs, 16 sing English songs and 11 sing both. How many sing at least one of the two?
  22. 22.In a group of 37 grown-ups, 19 drink tea, 13 drink coffee and 8 drink both. How many drink at least one of the two?
  23. 23.In a group of 42 children, 19 like mangoes, 31 like bananas and 12 like both. How many like only mangoes?
  24. 24.In a group of 33 grown-ups, 9 drink tea, 19 drink coffee and 3 drink both. How many drink only tea?
  25. 25.In a group of 47 grown-ups, 29 drink tea, 12 drink coffee and 9 drink both. How many drink neither of the two?
  26. 26.In a group of 30 children, 21 like mangoes, 12 like bananas and 7 like both. How many like at least one of the two?
  27. 27.In a group of 47 children, 22 play cricket, 23 play football and 4 play both. How many play only football?
  28. 28.In a group of 38 children, 19 play cricket, 16 play football and 2 play both. How many play only cricket?
  29. 29.In a group of 40 children, 25 like mangoes, 21 like bananas and 7 like both. How many like exactly one of the two?
  30. 30.In a group of 46 children, 21 play cricket, 14 play football and 3 play both. How many play neither of the two?
  31. 31.In a group of 33 children, 17 play cricket, 11 play football and 4 play both. How many play exactly one of the two?
  32. 32.In a group of 30 children, 14 play cricket, 14 play football and 8 play both. How many play only football?
  33. 33.In a group of 32 children, 16 play chess, 14 play carrom and 2 play both. How many play only chess?
  34. 34.In a group of 43 children, 19 like mangoes, 23 like bananas and 11 like both. How many like exactly one of the two?
  35. 35.In a group of 47 children, 18 play cricket, 22 play football and 8 play both. How many play at least one of the two?
  36. 36.In a group of 48 grown-ups, 25 drink tea, 26 drink coffee and 6 drink both. How many drink neither of the two?
  37. 37.In a group of 39 grown-ups, 22 drink tea, 12 drink coffee and 5 drink both. How many drink only tea?
  38. 38.In a group of 37 children, 26 like mangoes, 14 like bananas and 7 like both. How many like only bananas?
  39. 39.In a group of 40 children, 26 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  40. 40.In a group of 39 children, 18 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?

Answer key

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

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