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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 487 · 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 29 children, 23 like mangoes, 11 like bananas and 6 like both. How many like only mangoes?
  2. 2.In a group of 24 children, 14 play cricket, 12 play football and 4 play both. How many play at least one of the two?
  3. 3.In a group of 33 children, 12 play cricket, 14 play football and 4 play both. How many play only cricket?
  4. 4.In a group of 52 children, 29 sing Hindi songs, 23 sing English songs and 12 sing both. How many sing at least one of the two?
  5. 5.In a group of 44 children, 23 sing Hindi songs, 14 sing English songs and 7 sing both. How many sing exactly one of the two?
  6. 6.In a group of 39 grown-ups, 25 drink tea, 24 drink coffee and 12 drink both. How many drink at least one of the two?
  7. 7.In a group of 35 children, 15 enjoy drawing, 20 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 55 children, 32 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  9. 9.In a group of 44 children, 24 like mangoes, 16 like bananas and 8 like both. How many like at least one of the two?
  10. 10.In a group of 22 grown-ups, 10 drink tea, 10 drink coffee and 2 drink both. How many drink only tea?
  11. 11.In a group of 21 children, 7 play chess, 6 play carrom and 3 play both. How many play exactly one of the two?
  12. 12.In a group of 23 children, 13 play cricket, 12 play football and 8 play both. How many play only cricket?
  13. 13.In a group of 26 children, 18 like mangoes, 17 like bananas and 11 like both. How many like at least one of the two?
  14. 14.In a group of 31 grown-ups, 12 drink tea, 16 drink coffee and 4 drink both. How many drink only coffee?
  15. 15.In a group of 39 grown-ups, 13 drink tea, 21 drink coffee and 5 drink both. How many drink only tea?
  16. 16.In a group of 42 children, 18 like mangoes, 19 like bananas and 8 like both. How many like at least one of the two?
  17. 17.In a group of 32 children, 12 like mangoes, 15 like bananas and 6 like both. How many like only bananas?
  18. 18.In a group of 32 grown-ups, 24 drink tea, 11 drink coffee and 7 drink both. How many drink only coffee?
  19. 19.In a group of 35 children, 18 sing Hindi songs, 19 sing English songs and 5 sing both. How many sing only Hindi songs?
  20. 20.In a group of 34 grown-ups, 14 drink tea, 10 drink coffee and 2 drink both. How many drink neither of the two?
  21. 21.In a group of 47 children, 19 like mangoes, 25 like bananas and 12 like both. How many like neither of the two?
  22. 22.In a group of 34 children, 29 sing Hindi songs, 16 sing English songs and 12 sing both. How many sing at least one of the two?
  23. 23.In a group of 29 children, 14 play chess, 17 play carrom and 7 play both. How many play exactly one of the two?
  24. 24.In a group of 46 children, 24 sing Hindi songs, 28 sing English songs and 12 sing both. How many sing at least one of the two?
  25. 25.In a group of 40 grown-ups, 17 drink tea, 19 drink coffee and 8 drink both. How many drink only tea?
  26. 26.In a group of 50 children, 32 enjoy drawing, 15 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  27. 27.In a group of 29 children, 20 enjoy drawing, 7 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  28. 28.In a group of 62 children, 29 like mangoes, 27 like bananas and 9 like both. How many like exactly one of the two?
  29. 29.In a group of 47 children, 19 play chess, 24 play carrom and 9 play both. How many play at least one of the two?
  30. 30.In a group of 16 children, 6 sing Hindi songs, 7 sing English songs and 3 sing both. How many sing only English songs?
  31. 31.In a group of 26 grown-ups, 14 drink tea, 5 drink coffee and 2 drink both. How many drink exactly one of the two?
  32. 32.In a group of 27 children, 14 like mangoes, 12 like bananas and 8 like both. How many like only mangoes?
  33. 33.In a group of 34 children, 16 play cricket, 22 play football and 12 play both. How many play exactly one of the two?
  34. 34.In a group of 34 children, 28 sing Hindi songs, 12 sing English songs and 8 sing both. How many sing only English songs?
  35. 35.In a group of 40 children, 21 play cricket, 27 play football and 9 play both. How many play only cricket?
  36. 36.In a group of 21 children, 14 play cricket, 16 play football and 10 play both. How many play only cricket?
  37. 37.In a group of 34 children, 25 play cricket, 10 play football and 7 play both. How many play only cricket?
  38. 38.In a group of 35 children, 15 like mangoes, 19 like bananas and 12 like both. How many like exactly one of the two?
  39. 39.In a group of 40 children, 21 enjoy drawing, 18 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  40. 40.In a group of 39 grown-ups, 12 drink tea, 26 drink coffee and 7 drink both. How many drink exactly one of the two?

Answer key

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

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