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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 494 · 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 26 children, 14 like mangoes, 21 like bananas and 10 like both. How many like neither of the two?
  2. 2.In a group of 32 children, 17 play chess, 21 play carrom and 7 play both. How many play exactly one of the two?
  3. 3.In a group of 50 children, 26 sing Hindi songs, 21 sing English songs and 6 sing both. How many sing at least one of the two?
  4. 4.In a group of 31 children, 24 like mangoes, 16 like bananas and 12 like both. How many like only mangoes?
  5. 5.In a group of 33 children, 12 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  6. 6.In a group of 46 children, 28 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  7. 7.In a group of 31 grown-ups, 8 drink tea, 21 drink coffee and 5 drink both. How many drink exactly one of the two?
  8. 8.In a group of 42 children, 24 play cricket, 17 play football and 12 play both. How many play only cricket?
  9. 9.In a group of 56 children, 30 play cricket, 30 play football and 11 play both. How many play only cricket?
  10. 10.In a group of 20 children, 12 play cricket, 13 play football and 7 play both. How many play only cricket?
  11. 11.In a group of 41 children, 20 enjoy drawing, 26 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  12. 12.In a group of 51 children, 18 play cricket, 27 play football and 7 play both. How many play exactly one of the two?
  13. 13.In a group of 16 children, 11 enjoy drawing, 6 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  14. 14.In a group of 34 grown-ups, 12 drink tea, 21 drink coffee and 7 drink both. How many drink exactly one of the two?
  15. 15.In a group of 27 children, 13 play cricket, 16 play football and 6 play both. How many play only football?
  16. 16.In a group of 52 children, 21 sing Hindi songs, 18 sing English songs and 2 sing both. How many sing exactly one of the two?
  17. 17.In a group of 27 children, 15 like mangoes, 19 like bananas and 10 like both. How many like exactly one of the two?
  18. 18.In a group of 47 children, 22 sing Hindi songs, 22 sing English songs and 3 sing both. How many sing at least one of the two?
  19. 19.In a group of 21 children, 5 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 23 children, 9 enjoy drawing, 10 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  21. 21.In a group of 51 grown-ups, 24 drink tea, 18 drink coffee and 6 drink both. How many drink neither of the two?
  22. 22.In a group of 30 grown-ups, 9 drink tea, 23 drink coffee and 5 drink both. How many drink only tea?
  23. 23.In a group of 47 grown-ups, 20 drink tea, 17 drink coffee and 2 drink both. How many drink only coffee?
  24. 24.In a group of 23 children, 11 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  25. 25.In a group of 37 children, 12 play cricket, 25 play football and 8 play both. How many play only football?
  26. 26.In a group of 53 children, 30 enjoy drawing, 27 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 23 grown-ups, 10 drink tea, 17 drink coffee and 5 drink both. How many drink only tea?
  28. 28.In a group of 27 children, 9 play cricket, 8 play football and 3 play both. How many play only cricket?
  29. 29.In a group of 27 children, 8 like mangoes, 10 like bananas and 2 like both. How many like only bananas?
  30. 30.In a group of 30 children, 8 play chess, 13 play carrom and 5 play both. How many play neither of the two?
  31. 31.In a group of 49 grown-ups, 21 drink tea, 24 drink coffee and 5 drink both. How many drink neither of the two?
  32. 32.In a group of 44 children, 20 enjoy drawing, 26 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  33. 33.In a group of 53 children, 27 play chess, 24 play carrom and 12 play both. How many play only carrom?
  34. 34.In a group of 46 children, 22 play cricket, 18 play football and 4 play both. How many play only football?
  35. 35.In a group of 45 children, 17 play chess, 17 play carrom and 3 play both. How many play at least one of the two?
  36. 36.In a group of 38 children, 20 play cricket, 22 play football and 12 play both. How many play only cricket?
  37. 37.In a group of 40 children, 30 sing Hindi songs, 15 sing English songs and 12 sing both. How many sing only English songs?
  38. 38.In a group of 35 children, 22 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  39. 39.In a group of 25 grown-ups, 19 drink tea, 14 drink coffee and 9 drink both. How many drink only coffee?
  40. 40.In a group of 49 children, 19 play cricket, 22 play football and 4 play both. How many play only football?

Answer key

  1. 1
  2. 24
  3. 41
  4. 12
  5. 3
  6. 7
  7. 19
  8. 12
  9. 19
  10. 5
  11. 39
  12. 31
  13. 3
  14. 19
  15. 10
  16. 35
  17. 14
  18. 41
  19. 3
  20. 7
  21. 15
  22. 4
  23. 15
  24. 7
  25. 17
  26. 8
  27. 5
  28. 6
  29. 8
  30. 14
  31. 9
  32. 5
  33. 12
  34. 14
  35. 31
  36. 8
  37. 3
  38. 22
  39. 5
  40. 18

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