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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 333 · 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, 21 like mangoes, 21 like bananas and 11 like both. How many like only mangoes?
  2. 2.In a group of 29 children, 9 play cricket, 9 play football and 2 play both. How many play exactly one of the two?
  3. 3.In a group of 43 children, 23 play cricket, 27 play football and 8 play both. How many play only cricket?
  4. 4.In a group of 34 children, 12 like mangoes, 14 like bananas and 4 like both. How many like at least one of the two?
  5. 5.In a group of 27 children, 14 sing Hindi songs, 17 sing English songs and 7 sing both. How many sing at least one of the two?
  6. 6.In a group of 31 children, 23 play cricket, 10 play football and 5 play both. How many play exactly one of the two?
  7. 7.In a group of 38 grown-ups, 17 drink tea, 9 drink coffee and 2 drink both. How many drink neither of the two?
  8. 8.In a group of 48 grown-ups, 19 drink tea, 20 drink coffee and 4 drink both. How many drink only tea?
  9. 9.In a group of 34 children, 8 play chess, 16 play carrom and 4 play both. How many play only carrom?
  10. 10.In a group of 36 children, 19 play cricket, 21 play football and 8 play both. How many play only cricket?
  11. 11.In a group of 32 grown-ups, 22 drink tea, 9 drink coffee and 3 drink both. How many drink neither of the two?
  12. 12.In a group of 28 children, 9 enjoy drawing, 24 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 34 grown-ups, 11 drink tea, 17 drink coffee and 5 drink both. How many drink neither of the two?
  14. 14.In a group of 34 children, 10 like mangoes, 21 like bananas and 7 like both. How many like at least one of the two?
  15. 15.In a group of 36 children, 12 play chess, 19 play carrom and 6 play both. How many play at least one of the two?
  16. 16.In a group of 40 grown-ups, 21 drink tea, 25 drink coffee and 11 drink both. How many drink only coffee?
  17. 17.In a group of 36 children, 22 play chess, 22 play carrom and 11 play both. How many play only carrom?
  18. 18.In a group of 39 children, 17 enjoy drawing, 28 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  19. 19.In a group of 32 children, 11 sing Hindi songs, 20 sing English songs and 4 sing both. How many sing exactly one of the two?
  20. 20.In a group of 37 children, 16 like mangoes, 27 like bananas and 10 like both. How many like neither of the two?
  21. 21.In a group of 35 children, 16 like mangoes, 24 like bananas and 7 like both. How many like at least one of the two?
  22. 22.In a group of 45 children, 25 play cricket, 22 play football and 8 play both. How many play only football?
  23. 23.In a group of 30 grown-ups, 21 drink tea, 16 drink coffee and 9 drink both. How many drink exactly one of the two?
  24. 24.In a group of 32 children, 12 play chess, 28 play carrom and 9 play both. How many play only carrom?
  25. 25.In a group of 49 children, 22 play chess, 25 play carrom and 8 play both. How many play only chess?
  26. 26.In a group of 30 children, 19 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 50 children, 27 like mangoes, 26 like bananas and 10 like both. How many like only bananas?
  28. 28.In a group of 36 children, 17 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  29. 29.In a group of 44 grown-ups, 25 drink tea, 11 drink coffee and 7 drink both. How many drink only tea?
  30. 30.In a group of 38 children, 11 play chess, 24 play carrom and 5 play both. How many play only carrom?
  31. 31.In a group of 51 children, 25 enjoy drawing, 31 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  32. 32.In a group of 56 children, 30 play chess, 27 play carrom and 11 play both. How many play only chess?
  33. 33.In a group of 45 children, 19 enjoy drawing, 22 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  34. 34.In a group of 40 children, 17 sing Hindi songs, 20 sing English songs and 5 sing both. How many sing exactly one of the two?
  35. 35.In a group of 44 grown-ups, 14 drink tea, 21 drink coffee and 5 drink both. How many drink only coffee?
  36. 36.In a group of 35 grown-ups, 15 drink tea, 21 drink coffee and 8 drink both. How many drink only coffee?
  37. 37.In a group of 43 children, 22 play chess, 25 play carrom and 9 play both. How many play exactly one of the two?
  38. 38.In a group of 29 children, 22 like mangoes, 17 like bananas and 12 like both. How many like only bananas?
  39. 39.In a group of 35 children, 21 play cricket, 18 play football and 5 play both. How many play only football?
  40. 40.In a group of 51 children, 26 sing Hindi songs, 28 sing English songs and 8 sing both. How many sing neither of the two?

Answer key

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

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