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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 453 · 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 48 children, 24 sing Hindi songs, 26 sing English songs and 6 sing both. How many sing only English songs?
  2. 2.In a group of 23 children, 11 like mangoes, 11 like bananas and 4 like both. How many like only bananas?
  3. 3.In a group of 42 children, 22 enjoy drawing, 19 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  4. 4.In a group of 39 children, 15 like mangoes, 22 like bananas and 11 like both. How many like at least one of the two?
  5. 5.In a group of 36 children, 24 sing Hindi songs, 17 sing English songs and 12 sing both. How many sing neither of the two?
  6. 6.In a group of 34 children, 17 play chess, 9 play carrom and 3 play both. How many play at least one of the two?
  7. 7.In a group of 42 children, 15 enjoy drawing, 22 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 25 children, 19 like mangoes, 9 like bananas and 5 like both. How many like only bananas?
  9. 9.In a group of 36 children, 8 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  10. 10.In a group of 51 grown-ups, 20 drink tea, 25 drink coffee and 8 drink both. How many drink only coffee?
  11. 11.In a group of 42 children, 27 play chess, 16 play carrom and 7 play both. How many play only chess?
  12. 12.In a group of 37 children, 24 play chess, 11 play carrom and 7 play both. How many play only carrom?
  13. 13.In a group of 31 children, 12 enjoy drawing, 24 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  14. 14.In a group of 31 children, 17 like mangoes, 8 like bananas and 5 like both. How many like only mangoes?
  15. 15.In a group of 48 children, 20 play chess, 28 play carrom and 8 play both. How many play exactly one of the two?
  16. 16.In a group of 36 children, 18 sing Hindi songs, 13 sing English songs and 10 sing both. How many sing only Hindi songs?
  17. 17.In a group of 21 children, 7 enjoy drawing, 16 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 41 grown-ups, 22 drink tea, 24 drink coffee and 6 drink both. How many drink exactly one of the two?
  19. 19.In a group of 32 grown-ups, 10 drink tea, 18 drink coffee and 4 drink both. How many drink at least one of the two?
  20. 20.In a group of 37 children, 17 enjoy drawing, 22 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 34 grown-ups, 11 drink tea, 19 drink coffee and 7 drink both. How many drink exactly one of the two?
  22. 22.In a group of 26 children, 6 enjoy drawing, 20 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 37 children, 19 like mangoes, 16 like bananas and 4 like both. How many like only bananas?
  24. 24.In a group of 41 grown-ups, 24 drink tea, 19 drink coffee and 4 drink both. How many drink only coffee?
  25. 25.In a group of 33 children, 19 play chess, 17 play carrom and 5 play both. How many play exactly one of the two?
  26. 26.In a group of 51 children, 23 enjoy drawing, 26 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 28 children, 20 like mangoes, 7 like bananas and 3 like both. How many like exactly one of the two?
  28. 28.In a group of 48 children, 19 sing Hindi songs, 31 sing English songs and 12 sing both. How many sing only Hindi songs?
  29. 29.In a group of 21 children, 7 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing only English songs?
  30. 30.In a group of 31 children, 25 sing Hindi songs, 13 sing English songs and 9 sing both. How many sing only English songs?
  31. 31.In a group of 33 children, 15 play cricket, 17 play football and 6 play both. How many play neither of the two?
  32. 32.In a group of 33 grown-ups, 15 drink tea, 27 drink coffee and 10 drink both. How many drink only tea?
  33. 33.In a group of 36 children, 16 play cricket, 17 play football and 5 play both. How many play at least one of the two?
  34. 34.In a group of 34 children, 11 play chess, 21 play carrom and 8 play both. How many play at least one of the two?
  35. 35.In a group of 33 children, 12 play cricket, 19 play football and 7 play both. How many play only football?
  36. 36.In a group of 26 children, 15 play chess, 13 play carrom and 5 play both. How many play only chess?
  37. 37.In a group of 19 children, 9 play cricket, 9 play football and 2 play both. How many play exactly one of the two?
  38. 38.In a group of 22 children, 7 play cricket, 6 play football and 2 play both. How many play at least one of the two?
  39. 39.In a group of 52 children, 31 like mangoes, 20 like bananas and 11 like both. How many like only mangoes?
  40. 40.In a group of 47 children, 23 play chess, 17 play carrom and 6 play both. How many play only chess?

Answer key

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

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