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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 679 · 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 22 children, 8 enjoy drawing, 6 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  2. 2.In a group of 54 children, 22 sing Hindi songs, 25 sing English songs and 8 sing both. How many sing at least one of the two?
  3. 3.In a group of 44 children, 23 play cricket, 23 play football and 8 play both. How many play only football?
  4. 4.In a group of 23 grown-ups, 18 drink tea, 6 drink coffee and 3 drink both. How many drink exactly one of the two?
  5. 5.In a group of 29 children, 17 sing Hindi songs, 16 sing English songs and 10 sing both. How many sing neither of the two?
  6. 6.In a group of 16 children, 6 like mangoes, 10 like bananas and 3 like both. How many like at least one of the two?
  7. 7.In a group of 33 children, 8 like mangoes, 25 like bananas and 5 like both. How many like only bananas?
  8. 8.In a group of 35 children, 10 play cricket, 26 play football and 7 play both. How many play only cricket?
  9. 9.In a group of 42 children, 21 like mangoes, 15 like bananas and 9 like both. How many like neither of the two?
  10. 10.In a group of 52 grown-ups, 28 drink tea, 22 drink coffee and 9 drink both. How many drink only tea?
  11. 11.In a group of 14 children, 5 sing Hindi songs, 9 sing English songs and 2 sing both. How many sing at least one of the two?
  12. 12.In a group of 38 children, 26 play cricket, 17 play football and 10 play both. How many play at least one of the two?
  13. 13.In a group of 49 children, 20 enjoy drawing, 25 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  14. 14.In a group of 39 children, 7 enjoy drawing, 21 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  15. 15.In a group of 32 children, 23 play cricket, 8 play football and 4 play both. How many play at least one of the two?
  16. 16.In a group of 28 children, 21 like mangoes, 11 like bananas and 6 like both. How many like only mangoes?
  17. 17.In a group of 40 children, 12 play cricket, 19 play football and 2 play both. How many play exactly one of the two?
  18. 18.In a group of 38 children, 13 sing Hindi songs, 24 sing English songs and 9 sing both. How many sing neither of the two?
  19. 19.In a group of 30 children, 19 like mangoes, 15 like bananas and 12 like both. How many like only mangoes?
  20. 20.In a group of 39 children, 17 like mangoes, 28 like bananas and 10 like both. How many like exactly one of the two?
  21. 21.In a group of 26 children, 9 like mangoes, 15 like bananas and 4 like both. How many like only mangoes?
  22. 22.In a group of 34 children, 20 sing Hindi songs, 16 sing English songs and 6 sing both. How many sing exactly one of the two?
  23. 23.In a group of 34 children, 20 like mangoes, 17 like bananas and 12 like both. How many like at least one of the two?
  24. 24.In a group of 26 children, 20 play chess, 8 play carrom and 5 play both. How many play only chess?
  25. 25.In a group of 43 children, 23 play cricket, 10 play football and 3 play both. How many play only cricket?
  26. 26.In a group of 29 children, 12 play chess, 11 play carrom and 3 play both. How many play only chess?
  27. 27.In a group of 37 children, 11 sing Hindi songs, 18 sing English songs and 6 sing both. How many sing only English songs?
  28. 28.In a group of 44 children, 20 like mangoes, 23 like bananas and 4 like both. How many like only bananas?
  29. 29.In a group of 44 children, 17 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 55 children, 29 play chess, 21 play carrom and 10 play both. How many play only chess?
  31. 31.In a group of 52 children, 17 play cricket, 28 play football and 8 play both. How many play only cricket?
  32. 32.In a group of 24 children, 12 enjoy drawing, 14 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 46 children, 22 play cricket, 23 play football and 3 play both. How many play exactly one of the two?
  34. 34.In a group of 38 children, 18 like mangoes, 20 like bananas and 4 like both. How many like at least one of the two?
  35. 35.In a group of 36 children, 13 play cricket, 18 play football and 2 play both. How many play only cricket?
  36. 36.In a group of 44 grown-ups, 15 drink tea, 19 drink coffee and 2 drink both. How many drink exactly one of the two?
  37. 37.In a group of 27 children, 16 play chess, 12 play carrom and 9 play both. How many play only carrom?
  38. 38.In a group of 49 children, 19 play cricket, 24 play football and 4 play both. How many play only football?
  39. 39.In a group of 37 children, 27 play chess, 13 play carrom and 7 play both. How many play only chess?
  40. 40.In a group of 20 grown-ups, 11 drink tea, 12 drink coffee and 8 drink both. How many drink neither of the two?

Answer key

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

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