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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 520 · 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, 21 like mangoes, 26 like bananas and 6 like both. How many like neither of the two?
  2. 2.In a group of 55 children, 27 play cricket, 29 play football and 11 play both. How many play only cricket?
  3. 3.In a group of 35 grown-ups, 14 drink tea, 17 drink coffee and 8 drink both. How many drink neither of the two?
  4. 4.In a group of 29 children, 6 sing Hindi songs, 13 sing English songs and 2 sing both. How many sing neither of the two?
  5. 5.In a group of 41 grown-ups, 17 drink tea, 21 drink coffee and 6 drink both. How many drink exactly one of the two?
  6. 6.In a group of 19 children, 8 play cricket, 10 play football and 3 play both. How many play at least one of the two?
  7. 7.In a group of 40 children, 17 play cricket, 11 play football and 2 play both. How many play only cricket?
  8. 8.In a group of 42 children, 24 play cricket, 11 play football and 5 play both. How many play only cricket?
  9. 9.In a group of 57 children, 30 enjoy drawing, 29 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  10. 10.In a group of 30 grown-ups, 17 drink tea, 19 drink coffee and 10 drink both. How many drink neither of the two?
  11. 11.In a group of 34 children, 9 sing Hindi songs, 16 sing English songs and 2 sing both. How many sing exactly one of the two?
  12. 12.In a group of 29 children, 6 sing Hindi songs, 22 sing English songs and 3 sing both. How many sing neither of the two?
  13. 13.In a group of 20 children, 14 play cricket, 11 play football and 8 play both. How many play only football?
  14. 14.In a group of 46 children, 22 play chess, 21 play carrom and 5 play both. How many play exactly one of the two?
  15. 15.In a group of 30 grown-ups, 10 drink tea, 19 drink coffee and 5 drink both. How many drink neither of the two?
  16. 16.In a group of 38 children, 23 like mangoes, 13 like bananas and 5 like both. How many like only bananas?
  17. 17.In a group of 38 grown-ups, 17 drink tea, 18 drink coffee and 2 drink both. How many drink only coffee?
  18. 18.In a group of 28 children, 9 play cricket, 20 play football and 4 play both. How many play neither of the two?
  19. 19.In a group of 44 children, 26 play chess, 29 play carrom and 12 play both. How many play only chess?
  20. 20.In a group of 27 children, 15 play cricket, 14 play football and 7 play both. How many play only cricket?
  21. 21.In a group of 35 children, 20 like mangoes, 18 like bananas and 10 like both. How many like neither of the two?
  22. 22.In a group of 23 children, 7 play chess, 11 play carrom and 4 play both. How many play only chess?
  23. 23.In a group of 28 children, 12 play cricket, 19 play football and 5 play both. How many play only cricket?
  24. 24.In a group of 37 children, 19 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing only Hindi songs?
  25. 25.In a group of 39 children, 19 sing Hindi songs, 21 sing English songs and 3 sing both. How many sing only Hindi songs?
  26. 26.In a group of 36 children, 18 like mangoes, 14 like bananas and 11 like both. How many like exactly one of the two?
  27. 27.In a group of 33 children, 14 enjoy drawing, 16 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  28. 28.In a group of 35 children, 12 sing Hindi songs, 18 sing English songs and 7 sing both. How many sing only English songs?
  29. 29.In a group of 24 children, 7 like mangoes, 11 like bananas and 4 like both. How many like only mangoes?
  30. 30.In a group of 44 children, 19 sing Hindi songs, 18 sing English songs and 5 sing both. How many sing only Hindi songs?
  31. 31.In a group of 38 grown-ups, 13 drink tea, 15 drink coffee and 4 drink both. How many drink only tea?
  32. 32.In a group of 34 children, 17 play chess, 12 play carrom and 8 play both. How many play at least one of the two?
  33. 33.In a group of 34 children, 19 play chess, 16 play carrom and 2 play both. How many play at least one of the two?
  34. 34.In a group of 49 children, 22 like mangoes, 24 like bananas and 7 like both. How many like only mangoes?
  35. 35.In a group of 33 children, 21 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 36 children, 7 play chess, 21 play carrom and 3 play both. How many play neither of the two?
  37. 37.In a group of 49 children, 26 play cricket, 20 play football and 11 play both. How many play exactly one of the two?
  38. 38.In a group of 46 children, 28 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing exactly one of the two?
  39. 39.In a group of 46 children, 31 like mangoes, 26 like bananas and 12 like both. How many like only bananas?
  40. 40.In a group of 33 children, 23 play cricket, 20 play football and 12 play both. How many play exactly one of the two?

Answer key

  1. 7
  2. 16
  3. 12
  4. 12
  5. 26
  6. 15
  7. 15
  8. 19
  9. 47
  10. 4
  11. 21
  12. 4
  13. 3
  14. 33
  15. 6
  16. 8
  17. 16
  18. 3
  19. 14
  20. 8
  21. 7
  22. 3
  23. 7
  24. 16
  25. 16
  26. 10
  27. 12
  28. 11
  29. 3
  30. 14
  31. 9
  32. 21
  33. 33
  34. 15
  35. 16
  36. 11
  37. 24
  38. 34
  39. 14
  40. 19

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