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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 133 · 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 children, 11 play chess, 25 play carrom and 7 play both. How many play neither of the two?
  2. 2.In a group of 33 children, 20 play cricket, 13 play football and 4 play both. How many play only football?
  3. 3.In a group of 38 children, 14 enjoy drawing, 23 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 36 children, 23 like mangoes, 8 like bananas and 4 like both. How many like exactly one of the two?
  5. 5.In a group of 29 children, 24 play chess, 11 play carrom and 8 play both. How many play only chess?
  6. 6.In a group of 39 children, 30 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing exactly one of the two?
  7. 7.In a group of 45 children, 18 enjoy drawing, 23 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 58 grown-ups, 27 drink tea, 27 drink coffee and 10 drink both. How many drink neither of the two?
  9. 9.In a group of 30 children, 14 play cricket, 16 play football and 5 play both. How many play exactly one of the two?
  10. 10.In a group of 41 children, 21 like mangoes, 28 like bananas and 12 like both. How many like only bananas?
  11. 11.In a group of 30 children, 11 enjoy drawing, 21 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  12. 12.In a group of 38 children, 22 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  13. 13.In a group of 38 children, 20 like mangoes, 16 like bananas and 3 like both. How many like only mangoes?
  14. 14.In a group of 45 grown-ups, 23 drink tea, 23 drink coffee and 7 drink both. How many drink neither of the two?
  15. 15.In a group of 25 children, 8 like mangoes, 9 like bananas and 2 like both. How many like only mangoes?
  16. 16.In a group of 45 children, 15 like mangoes, 25 like bananas and 9 like both. How many like exactly one of the two?
  17. 17.In a group of 45 children, 29 play cricket, 15 play football and 12 play both. How many play at least one of the two?
  18. 18.In a group of 18 children, 7 play chess, 9 play carrom and 4 play both. How many play only chess?
  19. 19.In a group of 25 children, 8 enjoy drawing, 13 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 28 children, 17 play cricket, 11 play football and 5 play both. How many play only football?
  21. 21.In a group of 42 children, 21 play chess, 19 play carrom and 4 play both. How many play neither of the two?
  22. 22.In a group of 34 children, 10 play cricket, 18 play football and 4 play both. How many play only cricket?
  23. 23.In a group of 18 grown-ups, 13 drink tea, 10 drink coffee and 6 drink both. How many drink exactly one of the two?
  24. 24.In a group of 50 children, 28 play cricket, 21 play football and 8 play both. How many play only cricket?
  25. 25.In a group of 41 children, 25 like mangoes, 24 like bananas and 9 like both. How many like neither of the two?
  26. 26.In a group of 47 grown-ups, 22 drink tea, 23 drink coffee and 5 drink both. How many drink only coffee?
  27. 27.In a group of 51 children, 29 like mangoes, 26 like bananas and 9 like both. How many like only bananas?
  28. 28.In a group of 36 children, 20 sing Hindi songs, 13 sing English songs and 5 sing both. How many sing only Hindi songs?
  29. 29.In a group of 37 grown-ups, 26 drink tea, 16 drink coffee and 7 drink both. How many drink neither of the two?
  30. 30.In a group of 55 children, 28 play chess, 23 play carrom and 9 play both. How many play only chess?
  31. 31.In a group of 58 children, 29 play cricket, 26 play football and 10 play both. How many play at least one of the two?
  32. 32.In a group of 17 children, 13 sing Hindi songs, 12 sing English songs and 9 sing both. How many sing neither of the two?
  33. 33.In a group of 19 children, 6 play chess, 6 play carrom and 2 play both. How many play only carrom?
  34. 34.In a group of 46 children, 12 play cricket, 24 play football and 5 play both. How many play only cricket?
  35. 35.In a group of 25 children, 8 play cricket, 17 play football and 3 play both. How many play only cricket?
  36. 36.In a group of 33 children, 23 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 25 children, 11 play cricket, 15 play football and 5 play both. How many play exactly one of the two?
  38. 38.In a group of 42 children, 27 play cricket, 16 play football and 11 play both. How many play exactly one of the two?
  39. 39.In a group of 41 children, 21 play cricket, 19 play football and 7 play both. How many play only cricket?
  40. 40.In a group of 32 children, 10 sing Hindi songs, 12 sing English songs and 4 sing both. How many sing only English songs?

Answer key

  1. 3
  2. 9
  3. 17
  4. 23
  5. 16
  6. 25
  7. 19
  8. 14
  9. 20
  10. 16
  11. 15
  12. 12
  13. 17
  14. 6
  15. 6
  16. 22
  17. 32
  18. 3
  19. 3
  20. 6
  21. 6
  22. 6
  23. 11
  24. 20
  25. 1
  26. 18
  27. 17
  28. 15
  29. 2
  30. 19
  31. 45
  32. 1
  33. 4
  34. 7
  35. 5
  36. 16
  37. 16
  38. 21
  39. 14
  40. 8

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