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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 170 · 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 28 children, 12 play chess, 22 play carrom and 9 play both. How many play only carrom?
  2. 2.In a group of 44 children, 19 enjoy drawing, 18 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  3. 3.In a group of 28 grown-ups, 5 drink tea, 20 drink coffee and 2 drink both. How many drink only coffee?
  4. 4.In a group of 28 children, 7 play cricket, 10 play football and 4 play both. How many play exactly one of the two?
  5. 5.In a group of 24 children, 14 play chess, 18 play carrom and 11 play both. How many play exactly one of the two?
  6. 6.In a group of 36 children, 13 like mangoes, 27 like bananas and 8 like both. How many like only bananas?
  7. 7.In a group of 38 children, 30 play chess, 15 play carrom and 11 play both. How many play neither of the two?
  8. 8.In a group of 49 grown-ups, 27 drink tea, 18 drink coffee and 9 drink both. How many drink only coffee?
  9. 9.In a group of 45 grown-ups, 15 drink tea, 20 drink coffee and 2 drink both. How many drink only coffee?
  10. 10.In a group of 45 grown-ups, 24 drink tea, 12 drink coffee and 4 drink both. How many drink only tea?
  11. 11.In a group of 30 children, 13 enjoy drawing, 22 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  12. 12.In a group of 43 children, 26 like mangoes, 18 like bananas and 6 like both. How many like at least one of the two?
  13. 13.In a group of 37 children, 20 play cricket, 15 play football and 6 play both. How many play neither of the two?
  14. 14.In a group of 39 children, 17 enjoy drawing, 32 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  15. 15.In a group of 29 grown-ups, 15 drink tea, 8 drink coffee and 2 drink both. How many drink neither of the two?
  16. 16.In a group of 34 grown-ups, 24 drink tea, 7 drink coffee and 4 drink both. How many drink exactly one of the two?
  17. 17.In a group of 35 grown-ups, 16 drink tea, 20 drink coffee and 11 drink both. How many drink only coffee?
  18. 18.In a group of 40 children, 8 play cricket, 21 play football and 4 play both. How many play only cricket?
  19. 19.In a group of 21 children, 11 sing Hindi songs, 15 sing English songs and 8 sing both. How many sing at least one of the two?
  20. 20.In a group of 50 grown-ups, 15 drink tea, 32 drink coffee and 12 drink both. How many drink neither of the two?
  21. 21.In a group of 34 children, 12 sing Hindi songs, 13 sing English songs and 2 sing both. How many sing only Hindi songs?
  22. 22.In a group of 45 children, 15 sing Hindi songs, 23 sing English songs and 8 sing both. How many sing exactly one of the two?
  23. 23.In a group of 37 children, 20 play chess, 9 play carrom and 2 play both. How many play at least one of the two?
  24. 24.In a group of 45 children, 26 play chess, 17 play carrom and 6 play both. How many play neither of the two?
  25. 25.In a group of 35 children, 21 enjoy drawing, 22 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 35 children, 16 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  27. 27.In a group of 36 children, 22 play cricket, 16 play football and 4 play both. How many play only football?
  28. 28.In a group of 26 children, 16 play chess, 11 play carrom and 4 play both. How many play only carrom?
  29. 29.In a group of 28 children, 21 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 36 children, 19 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 50 grown-ups, 27 drink tea, 22 drink coffee and 8 drink both. How many drink only coffee?
  32. 32.In a group of 36 children, 12 sing Hindi songs, 18 sing English songs and 2 sing both. How many sing exactly one of the two?
  33. 33.In a group of 39 children, 19 play cricket, 27 play football and 11 play both. How many play exactly one of the two?
  34. 34.In a group of 26 children, 10 enjoy drawing, 10 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  35. 35.In a group of 42 children, 19 enjoy drawing, 17 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 28 children, 15 like mangoes, 23 like bananas and 12 like both. How many like only mangoes?
  37. 37.In a group of 51 grown-ups, 21 drink tea, 32 drink coffee and 12 drink both. How many drink only tea?
  38. 38.In a group of 33 children, 12 like mangoes, 28 like bananas and 8 like both. How many like only mangoes?
  39. 39.In a group of 38 children, 13 play chess, 16 play carrom and 5 play both. How many play neither of the two?
  40. 40.In a group of 42 children, 15 enjoy drawing, 24 enjoy dancing and 6 enjoy both. How many enjoy only drawing?

Answer key

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

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