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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 125 · 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 41 children, 23 play chess, 6 play carrom and 3 play both. How many play neither of the two?
  2. 2.In a group of 39 children, 18 play cricket, 17 play football and 8 play both. How many play exactly one of the two?
  3. 3.In a group of 37 children, 21 enjoy drawing, 14 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 36 grown-ups, 10 drink tea, 17 drink coffee and 4 drink both. How many drink at least one of the two?
  5. 5.In a group of 46 grown-ups, 25 drink tea, 13 drink coffee and 7 drink both. How many drink only coffee?
  6. 6.In a group of 51 children, 20 play chess, 27 play carrom and 7 play both. How many play only chess?
  7. 7.In a group of 50 children, 24 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  8. 8.In a group of 33 children, 20 play cricket, 15 play football and 9 play both. How many play only football?
  9. 9.In a group of 33 grown-ups, 15 drink tea, 19 drink coffee and 4 drink both. How many drink neither of the two?
  10. 10.In a group of 27 children, 8 sing Hindi songs, 18 sing English songs and 2 sing both. How many sing exactly one of the two?
  11. 11.In a group of 37 children, 16 like mangoes, 25 like bananas and 9 like both. How many like exactly one of the two?
  12. 12.In a group of 33 children, 11 play chess, 17 play carrom and 8 play both. How many play neither of the two?
  13. 13.In a group of 37 children, 21 enjoy drawing, 17 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 46 children, 16 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  15. 15.In a group of 51 children, 26 sing Hindi songs, 19 sing English songs and 9 sing both. How many sing only Hindi songs?
  16. 16.In a group of 48 children, 22 play cricket, 22 play football and 5 play both. How many play at least one of the two?
  17. 17.In a group of 42 children, 18 enjoy drawing, 18 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  18. 18.In a group of 30 children, 23 play cricket, 9 play football and 4 play both. How many play exactly one of the two?
  19. 19.In a group of 23 children, 11 like mangoes, 14 like bananas and 7 like both. How many like only mangoes?
  20. 20.In a group of 31 children, 23 play chess, 9 play carrom and 6 play both. How many play neither of the two?
  21. 21.In a group of 41 children, 16 like mangoes, 21 like bananas and 4 like both. How many like neither of the two?
  22. 22.In a group of 41 children, 22 play chess, 28 play carrom and 11 play both. How many play only chess?
  23. 23.In a group of 35 children, 26 play cricket, 15 play football and 7 play both. How many play only cricket?
  24. 24.In a group of 37 children, 20 like mangoes, 22 like bananas and 7 like both. How many like exactly one of the two?
  25. 25.In a group of 51 children, 25 enjoy drawing, 25 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 18 children, 8 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  27. 27.In a group of 30 children, 8 like mangoes, 22 like bananas and 4 like both. How many like exactly one of the two?
  28. 28.In a group of 23 grown-ups, 16 drink tea, 15 drink coffee and 10 drink both. How many drink only tea?
  29. 29.In a group of 40 children, 16 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  30. 30.In a group of 35 children, 12 play cricket, 24 play football and 4 play both. How many play neither of the two?
  31. 31.In a group of 48 children, 23 like mangoes, 27 like bananas and 12 like both. How many like only mangoes?
  32. 32.In a group of 38 children, 13 play chess, 22 play carrom and 9 play both. How many play only chess?
  33. 33.In a group of 48 children, 26 play chess, 21 play carrom and 7 play both. How many play only carrom?
  34. 34.In a group of 34 children, 26 sing Hindi songs, 16 sing English songs and 9 sing both. How many sing neither of the two?
  35. 35.In a group of 34 children, 20 play chess, 19 play carrom and 11 play both. How many play exactly one of the two?
  36. 36.In a group of 43 children, 24 enjoy drawing, 21 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  37. 37.In a group of 45 grown-ups, 25 drink tea, 21 drink coffee and 5 drink both. How many drink exactly one of the two?
  38. 38.In a group of 39 children, 23 play chess, 11 play carrom and 6 play both. How many play exactly one of the two?
  39. 39.In a group of 23 children, 18 like mangoes, 8 like bananas and 5 like both. How many like only mangoes?
  40. 40.In a group of 31 children, 9 play cricket, 13 play football and 2 play both. How many play only football?

Answer key

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

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