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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 221 · 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 38 children, 7 enjoy drawing, 23 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  2. 2.In a group of 41 children, 6 like mangoes, 23 like bananas and 3 like both. How many like only bananas?
  3. 3.In a group of 33 children, 13 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing only Hindi songs?
  4. 4.In a group of 40 children, 25 sing Hindi songs, 13 sing English songs and 8 sing both. How many sing at least one of the two?
  5. 5.In a group of 40 children, 25 like mangoes, 9 like bananas and 5 like both. How many like only bananas?
  6. 6.In a group of 32 children, 21 sing Hindi songs, 18 sing English songs and 12 sing both. How many sing exactly one of the two?
  7. 7.In a group of 30 children, 17 enjoy drawing, 14 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  8. 8.In a group of 26 children, 10 like mangoes, 13 like bananas and 4 like both. How many like only mangoes?
  9. 9.In a group of 28 children, 21 play cricket, 11 play football and 5 play both. How many play only football?
  10. 10.In a group of 21 children, 16 play chess, 10 play carrom and 6 play both. How many play only carrom?
  11. 11.In a group of 43 grown-ups, 23 drink tea, 24 drink coffee and 5 drink both. How many drink exactly one of the two?
  12. 12.In a group of 40 children, 20 enjoy drawing, 22 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 20 children, 8 sing Hindi songs, 10 sing English songs and 5 sing both. How many sing only English songs?
  14. 14.In a group of 28 children, 23 play cricket, 14 play football and 10 play both. How many play at least one of the two?
  15. 15.In a group of 30 children, 22 play cricket, 9 play football and 4 play both. How many play neither of the two?
  16. 16.In a group of 39 children, 17 like mangoes, 18 like bananas and 8 like both. How many like at least one of the two?
  17. 17.In a group of 37 children, 15 play cricket, 16 play football and 9 play both. How many play neither of the two?
  18. 18.In a group of 25 grown-ups, 9 drink tea, 14 drink coffee and 4 drink both. How many drink at least one of the two?
  19. 19.In a group of 33 children, 20 like mangoes, 10 like bananas and 4 like both. How many like neither of the two?
  20. 20.In a group of 30 children, 24 like mangoes, 9 like bananas and 4 like both. How many like only bananas?
  21. 21.In a group of 27 children, 14 play chess, 15 play carrom and 8 play both. How many play only chess?
  22. 22.In a group of 16 grown-ups, 7 drink tea, 10 drink coffee and 2 drink both. How many drink at least one of the two?
  23. 23.In a group of 23 children, 10 like mangoes, 14 like bananas and 2 like both. How many like only mangoes?
  24. 24.In a group of 47 children, 18 play cricket, 23 play football and 5 play both. How many play neither of the two?
  25. 25.In a group of 39 children, 16 play cricket, 18 play football and 9 play both. How many play only football?
  26. 26.In a group of 45 grown-ups, 17 drink tea, 20 drink coffee and 4 drink both. How many drink only tea?
  27. 27.In a group of 48 grown-ups, 23 drink tea, 23 drink coffee and 10 drink both. How many drink only coffee?
  28. 28.In a group of 38 children, 11 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 50 children, 24 play cricket, 24 play football and 5 play both. How many play only football?
  30. 30.In a group of 31 children, 20 play chess, 12 play carrom and 7 play both. How many play only carrom?
  31. 31.In a group of 44 children, 15 play chess, 18 play carrom and 2 play both. How many play only chess?
  32. 32.In a group of 44 children, 18 play cricket, 23 play football and 8 play both. How many play at least one of the two?
  33. 33.In a group of 33 grown-ups, 14 drink tea, 19 drink coffee and 5 drink both. How many drink at least one of the two?
  34. 34.In a group of 39 children, 20 sing Hindi songs, 7 sing English songs and 3 sing both. How many sing only English songs?
  35. 35.In a group of 41 children, 20 play chess, 27 play carrom and 7 play both. How many play only carrom?
  36. 36.In a group of 38 children, 20 enjoy drawing, 19 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 32 children, 21 like mangoes, 14 like bananas and 5 like both. How many like only mangoes?
  38. 38.In a group of 35 children, 16 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing only Hindi songs?
  39. 39.In a group of 47 children, 30 play cricket, 16 play football and 11 play both. How many play only cricket?
  40. 40.In a group of 26 children, 11 like mangoes, 20 like bananas and 6 like both. How many like only bananas?

Answer key

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

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