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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 689 · 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 27 grown-ups, 16 drink tea, 17 drink coffee and 8 drink both. How many drink only coffee?
  2. 2.In a group of 33 children, 13 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing only Hindi songs?
  3. 3.In a group of 31 children, 10 enjoy drawing, 24 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 27 children, 8 like mangoes, 14 like bananas and 2 like both. How many like at least one of the two?
  5. 5.In a group of 45 children, 22 enjoy drawing, 27 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  6. 6.In a group of 37 children, 24 sing Hindi songs, 20 sing English songs and 11 sing both. How many sing at least one of the two?
  7. 7.In a group of 50 children, 21 like mangoes, 17 like bananas and 2 like both. How many like only mangoes?
  8. 8.In a group of 35 children, 16 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing only Hindi songs?
  9. 9.In a group of 45 children, 24 play cricket, 24 play football and 9 play both. How many play only cricket?
  10. 10.In a group of 26 children, 17 play cricket, 18 play football and 12 play both. How many play only football?
  11. 11.In a group of 46 children, 21 sing Hindi songs, 26 sing English songs and 7 sing both. How many sing only English songs?
  12. 12.In a group of 53 children, 25 enjoy drawing, 25 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 33 children, 21 play cricket, 22 play football and 12 play both. How many play only football?
  14. 14.In a group of 35 children, 28 play chess, 13 play carrom and 9 play both. How many play at least one of the two?
  15. 15.In a group of 40 children, 27 play chess, 21 play carrom and 12 play both. How many play at least one of the two?
  16. 16.In a group of 27 children, 17 play cricket, 9 play football and 4 play both. How many play at least one of the two?
  17. 17.In a group of 29 children, 14 like mangoes, 15 like bananas and 9 like both. How many like only bananas?
  18. 18.In a group of 36 grown-ups, 32 drink tea, 15 drink coffee and 12 drink both. How many drink at least one of the two?
  19. 19.In a group of 37 children, 20 enjoy drawing, 23 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 44 children, 24 like mangoes, 25 like bananas and 7 like both. How many like exactly one of the two?
  21. 21.In a group of 31 children, 13 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  22. 22.In a group of 25 children, 11 play chess, 7 play carrom and 4 play both. How many play neither of the two?
  23. 23.In a group of 34 children, 20 like mangoes, 23 like bananas and 12 like both. How many like exactly one of the two?
  24. 24.In a group of 40 children, 16 like mangoes, 21 like bananas and 4 like both. How many like neither of the two?
  25. 25.In a group of 47 children, 21 play cricket, 32 play football and 12 play both. How many play at least one of the two?
  26. 26.In a group of 34 grown-ups, 20 drink tea, 16 drink coffee and 12 drink both. How many drink exactly one of the two?
  27. 27.In a group of 27 grown-ups, 9 drink tea, 10 drink coffee and 3 drink both. How many drink exactly one of the two?
  28. 28.In a group of 23 children, 10 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing at least one of the two?
  29. 29.In a group of 50 grown-ups, 28 drink tea, 30 drink coffee and 11 drink both. How many drink neither of the two?
  30. 30.In a group of 45 children, 23 play chess, 22 play carrom and 5 play both. How many play neither of the two?
  31. 31.In a group of 29 children, 8 play chess, 8 play carrom and 2 play both. How many play at least one of the two?
  32. 32.In a group of 42 children, 18 play cricket, 31 play football and 11 play both. How many play neither of the two?
  33. 33.In a group of 40 children, 16 play cricket, 17 play football and 6 play both. How many play only cricket?
  34. 34.In a group of 24 children, 11 play chess, 13 play carrom and 4 play both. How many play only chess?
  35. 35.In a group of 49 grown-ups, 25 drink tea, 24 drink coffee and 6 drink both. How many drink at least one of the two?
  36. 36.In a group of 35 children, 17 sing Hindi songs, 13 sing English songs and 10 sing both. How many sing at least one of the two?
  37. 37.In a group of 55 children, 30 play cricket, 32 play football and 12 play both. How many play neither of the two?
  38. 38.In a group of 31 grown-ups, 13 drink tea, 19 drink coffee and 5 drink both. How many drink exactly one of the two?
  39. 39.In a group of 45 children, 22 like mangoes, 27 like bananas and 12 like both. How many like only mangoes?
  40. 40.In a group of 22 children, 16 play cricket, 13 play football and 10 play both. How many play at least one of the two?

Answer key

  1. 9
  2. 7
  3. 5
  4. 20
  5. 10
  6. 33
  7. 19
  8. 5
  9. 15
  10. 6
  11. 19
  12. 19
  13. 10
  14. 32
  15. 36
  16. 22
  17. 6
  18. 35
  19. 11
  20. 35
  21. 6
  22. 11
  23. 19
  24. 7
  25. 41
  26. 12
  27. 13
  28. 16
  29. 3
  30. 5
  31. 14
  32. 4
  33. 10
  34. 7
  35. 43
  36. 20
  37. 5
  38. 22
  39. 10
  40. 19

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