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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 317 · 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 53 children, 23 like mangoes, 27 like bananas and 8 like both. How many like only bananas?
  2. 2.In a group of 50 children, 25 play cricket, 20 play football and 6 play both. How many play neither of the two?
  3. 3.In a group of 53 children, 23 like mangoes, 30 like bananas and 11 like both. How many like at least one of the two?
  4. 4.In a group of 32 grown-ups, 13 drink tea, 24 drink coffee and 6 drink both. How many drink exactly one of the two?
  5. 5.In a group of 31 children, 18 like mangoes, 7 like bananas and 4 like both. How many like exactly one of the two?
  6. 6.In a group of 44 children, 19 play cricket, 24 play football and 10 play both. How many play only cricket?
  7. 7.In a group of 20 children, 13 play chess, 10 play carrom and 6 play both. How many play only carrom?
  8. 8.In a group of 42 children, 24 sing Hindi songs, 22 sing English songs and 6 sing both. How many sing only Hindi songs?
  9. 9.In a group of 46 grown-ups, 25 drink tea, 29 drink coffee and 12 drink both. How many drink only tea?
  10. 10.In a group of 31 children, 9 play chess, 12 play carrom and 2 play both. How many play neither of the two?
  11. 11.In a group of 44 children, 24 play chess, 29 play carrom and 12 play both. How many play neither of the two?
  12. 12.In a group of 48 children, 29 sing Hindi songs, 27 sing English songs and 12 sing both. How many sing at least one of the two?
  13. 13.In a group of 13 children, 5 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 32 children, 24 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  15. 15.In a group of 42 children, 14 play chess, 25 play carrom and 5 play both. How many play only chess?
  16. 16.In a group of 41 children, 17 like mangoes, 23 like bananas and 6 like both. How many like only mangoes?
  17. 17.In a group of 47 children, 20 like mangoes, 24 like bananas and 7 like both. How many like only bananas?
  18. 18.In a group of 38 grown-ups, 23 drink tea, 12 drink coffee and 7 drink both. How many drink exactly one of the two?
  19. 19.In a group of 31 children, 23 play chess, 18 play carrom and 12 play both. How many play at least one of the two?
  20. 20.In a group of 33 grown-ups, 11 drink tea, 16 drink coffee and 6 drink both. How many drink at least one of the two?
  21. 21.In a group of 29 children, 18 like mangoes, 16 like bananas and 11 like both. How many like only bananas?
  22. 22.In a group of 24 children, 10 play chess, 12 play carrom and 6 play both. How many play only chess?
  23. 23.In a group of 25 children, 5 play cricket, 16 play football and 2 play both. How many play neither of the two?
  24. 24.In a group of 41 grown-ups, 17 drink tea, 13 drink coffee and 3 drink both. How many drink neither of the two?
  25. 25.In a group of 16 grown-ups, 10 drink tea, 8 drink coffee and 5 drink both. How many drink only coffee?
  26. 26.In a group of 37 children, 24 play cricket, 19 play football and 8 play both. How many play at least one of the two?
  27. 27.In a group of 27 children, 14 enjoy drawing, 15 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  28. 28.In a group of 29 children, 11 play cricket, 5 play football and 2 play both. How many play at least one of the two?
  29. 29.In a group of 36 children, 17 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing only English songs?
  30. 30.In a group of 27 grown-ups, 7 drink tea, 16 drink coffee and 2 drink both. How many drink at least one of the two?
  31. 31.In a group of 16 children, 7 play cricket, 10 play football and 4 play both. How many play at least one of the two?
  32. 32.In a group of 29 children, 11 like mangoes, 16 like bananas and 6 like both. How many like exactly one of the two?
  33. 33.In a group of 49 children, 26 enjoy drawing, 19 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 43 children, 15 sing Hindi songs, 27 sing English songs and 10 sing both. How many sing only English songs?
  35. 35.In a group of 30 children, 12 like mangoes, 12 like bananas and 2 like both. How many like neither of the two?
  36. 36.In a group of 43 children, 14 play chess, 22 play carrom and 2 play both. How many play neither of the two?
  37. 37.In a group of 30 children, 10 sing Hindi songs, 12 sing English songs and 4 sing both. How many sing only Hindi songs?
  38. 38.In a group of 41 children, 26 sing Hindi songs, 20 sing English songs and 8 sing both. How many sing only Hindi songs?
  39. 39.In a group of 35 children, 20 sing Hindi songs, 22 sing English songs and 8 sing both. How many sing only English songs?
  40. 40.In a group of 39 children, 18 like mangoes, 13 like bananas and 2 like both. How many like exactly one of the two?

Answer key

  1. 19
  2. 11
  3. 42
  4. 25
  5. 17
  6. 9
  7. 4
  8. 18
  9. 13
  10. 12
  11. 3
  12. 44
  13. 11
  14. 26
  15. 9
  16. 11
  17. 17
  18. 21
  19. 29
  20. 21
  21. 5
  22. 4
  23. 6
  24. 14
  25. 3
  26. 35
  27. 24
  28. 14
  29. 18
  30. 21
  31. 13
  32. 15
  33. 19
  34. 17
  35. 8
  36. 9
  37. 6
  38. 18
  39. 14
  40. 27

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