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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 546 · 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 32 grown-ups, 12 drink tea, 25 drink coffee and 9 drink both. How many drink only coffee?
  2. 2.In a group of 29 children, 15 like mangoes, 12 like bananas and 5 like both. How many like only mangoes?
  3. 3.In a group of 21 children, 12 enjoy drawing, 16 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 34 children, 20 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing neither of the two?
  5. 5.In a group of 40 children, 22 play cricket, 9 play football and 6 play both. How many play only cricket?
  6. 6.In a group of 36 children, 15 like mangoes, 25 like bananas and 5 like both. How many like neither of the two?
  7. 7.In a group of 29 children, 14 play chess, 11 play carrom and 4 play both. How many play only chess?
  8. 8.In a group of 40 children, 20 like mangoes, 25 like bananas and 12 like both. How many like exactly one of the two?
  9. 9.In a group of 36 children, 25 like mangoes, 15 like bananas and 7 like both. How many like only bananas?
  10. 10.In a group of 44 grown-ups, 16 drink tea, 23 drink coffee and 4 drink both. How many drink at least one of the two?
  11. 11.In a group of 26 children, 13 play cricket, 17 play football and 6 play both. How many play only football?
  12. 12.In a group of 30 children, 14 sing Hindi songs, 21 sing English songs and 8 sing both. How many sing only Hindi songs?
  13. 13.In a group of 32 grown-ups, 17 drink tea, 7 drink coffee and 3 drink both. How many drink only tea?
  14. 14.In a group of 42 children, 30 play cricket, 17 play football and 10 play both. How many play only cricket?
  15. 15.In a group of 32 children, 6 play cricket, 15 play football and 2 play both. How many play neither of the two?
  16. 16.In a group of 47 children, 28 play chess, 18 play carrom and 9 play both. How many play only carrom?
  17. 17.In a group of 43 children, 18 play chess, 27 play carrom and 7 play both. How many play only carrom?
  18. 18.In a group of 42 grown-ups, 20 drink tea, 24 drink coffee and 12 drink both. How many drink at least one of the two?
  19. 19.In a group of 22 children, 8 play chess, 7 play carrom and 4 play both. How many play exactly one of the two?
  20. 20.In a group of 30 children, 12 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing at least one of the two?
  21. 21.In a group of 34 grown-ups, 20 drink tea, 13 drink coffee and 9 drink both. How many drink neither of the two?
  22. 22.In a group of 42 children, 14 enjoy drawing, 21 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  23. 23.In a group of 31 children, 11 like mangoes, 19 like bananas and 7 like both. How many like only mangoes?
  24. 24.In a group of 33 children, 28 play chess, 13 play carrom and 10 play both. How many play only chess?
  25. 25.In a group of 28 children, 7 play cricket, 19 play football and 4 play both. How many play exactly one of the two?
  26. 26.In a group of 35 children, 21 sing Hindi songs, 18 sing English songs and 12 sing both. How many sing only Hindi songs?
  27. 27.In a group of 27 children, 23 play cricket, 10 play football and 7 play both. How many play only football?
  28. 28.In a group of 47 children, 24 play chess, 25 play carrom and 8 play both. How many play only carrom?
  29. 29.In a group of 39 children, 10 enjoy drawing, 22 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  30. 30.In a group of 54 children, 28 play chess, 24 play carrom and 11 play both. How many play only chess?
  31. 31.In a group of 28 children, 12 enjoy drawing, 17 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 30 children, 8 play cricket, 13 play football and 4 play both. How many play only football?
  33. 33.In a group of 31 children, 16 sing Hindi songs, 13 sing English songs and 3 sing both. How many sing only English songs?
  34. 34.In a group of 45 children, 18 play chess, 23 play carrom and 9 play both. How many play only chess?
  35. 35.In a group of 35 children, 16 play chess, 21 play carrom and 11 play both. How many play only chess?
  36. 36.In a group of 38 children, 19 play chess, 24 play carrom and 12 play both. How many play exactly one of the two?
  37. 37.In a group of 46 grown-ups, 25 drink tea, 13 drink coffee and 7 drink both. How many drink only coffee?
  38. 38.In a group of 35 grown-ups, 19 drink tea, 17 drink coffee and 12 drink both. How many drink neither of the two?
  39. 39.In a group of 41 children, 16 play chess, 18 play carrom and 2 play both. How many play only carrom?
  40. 40.In a group of 34 children, 8 like mangoes, 16 like bananas and 4 like both. How many like exactly one of the two?

Answer key

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

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