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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 185 · 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, 18 sing Hindi songs, 12 sing English songs and 3 sing both. How many sing at least one of the two?
  2. 2.In a group of 30 children, 13 sing Hindi songs, 13 sing English songs and 2 sing both. How many sing only English songs?
  3. 3.In a group of 40 children, 10 sing Hindi songs, 23 sing English songs and 7 sing both. How many sing exactly one of the two?
  4. 4.In a group of 37 children, 14 sing Hindi songs, 23 sing English songs and 5 sing both. How many sing only English songs?
  5. 5.In a group of 43 grown-ups, 15 drink tea, 25 drink coffee and 12 drink both. How many drink neither of the two?
  6. 6.In a group of 24 children, 15 like mangoes, 12 like bananas and 4 like both. How many like only mangoes?
  7. 7.In a group of 58 children, 24 like mangoes, 28 like bananas and 9 like both. How many like neither of the two?
  8. 8.In a group of 42 children, 12 play chess, 20 play carrom and 5 play both. How many play only chess?
  9. 9.In a group of 50 children, 24 enjoy drawing, 26 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  10. 10.In a group of 34 children, 18 play chess, 22 play carrom and 7 play both. How many play only carrom?
  11. 11.In a group of 21 children, 12 enjoy drawing, 7 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  12. 12.In a group of 42 children, 22 enjoy drawing, 21 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 27 grown-ups, 5 drink tea, 14 drink coffee and 2 drink both. How many drink only coffee?
  14. 14.In a group of 31 children, 15 like mangoes, 11 like bananas and 5 like both. How many like neither of the two?
  15. 15.In a group of 16 grown-ups, 5 drink tea, 8 drink coffee and 2 drink both. How many drink only tea?
  16. 16.In a group of 41 children, 17 sing Hindi songs, 27 sing English songs and 11 sing both. How many sing neither of the two?
  17. 17.In a group of 32 children, 16 like mangoes, 11 like bananas and 5 like both. How many like neither of the two?
  18. 18.In a group of 36 children, 18 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing at least one of the two?
  19. 19.In a group of 37 children, 20 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  20. 20.In a group of 37 children, 24 play chess, 19 play carrom and 12 play both. How many play neither of the two?
  21. 21.In a group of 37 children, 12 enjoy drawing, 20 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  22. 22.In a group of 38 children, 13 play cricket, 15 play football and 3 play both. How many play only football?
  23. 23.In a group of 26 children, 8 like mangoes, 15 like bananas and 3 like both. How many like only bananas?
  24. 24.In a group of 29 children, 10 play cricket, 16 play football and 2 play both. How many play at least one of the two?
  25. 25.In a group of 21 children, 7 sing Hindi songs, 15 sing English songs and 2 sing both. How many sing only English songs?
  26. 26.In a group of 46 children, 18 sing Hindi songs, 31 sing English songs and 11 sing both. How many sing at least one of the two?
  27. 27.In a group of 38 children, 24 play chess, 19 play carrom and 12 play both. How many play only carrom?
  28. 28.In a group of 39 children, 14 enjoy drawing, 17 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  29. 29.In a group of 22 children, 10 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing only Hindi songs?
  30. 30.In a group of 35 children, 8 like mangoes, 16 like bananas and 2 like both. How many like only mangoes?
  31. 31.In a group of 45 children, 18 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 27 grown-ups, 12 drink tea, 18 drink coffee and 6 drink both. How many drink at least one of the two?
  33. 33.In a group of 31 children, 19 play cricket, 23 play football and 12 play both. How many play only cricket?
  34. 34.In a group of 30 children, 22 play cricket, 8 play football and 4 play both. How many play only football?
  35. 35.In a group of 49 children, 24 play cricket, 22 play football and 7 play both. How many play exactly one of the two?
  36. 36.In a group of 47 children, 25 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  37. 37.In a group of 38 children, 21 play cricket, 13 play football and 10 play both. How many play exactly one of the two?
  38. 38.In a group of 45 children, 21 like mangoes, 27 like bananas and 12 like both. How many like neither of the two?
  39. 39.In a group of 44 children, 27 play cricket, 16 play football and 10 play both. How many play neither of the two?
  40. 40.In a group of 41 children, 27 play chess, 14 play carrom and 11 play both. How many play neither of the two?

Answer key

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

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