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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 359 · 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 48 children, 18 play chess, 21 play carrom and 5 play both. How many play only chess?
  2. 2.In a group of 35 grown-ups, 18 drink tea, 10 drink coffee and 2 drink both. How many drink only coffee?
  3. 3.In a group of 49 children, 26 play chess, 23 play carrom and 8 play both. How many play only chess?
  4. 4.In a group of 33 grown-ups, 8 drink tea, 15 drink coffee and 5 drink both. How many drink neither of the two?
  5. 5.In a group of 34 children, 13 play chess, 21 play carrom and 4 play both. How many play at least one of the two?
  6. 6.In a group of 34 children, 14 play chess, 18 play carrom and 2 play both. How many play at least one of the two?
  7. 7.In a group of 49 children, 21 play cricket, 21 play football and 2 play both. How many play at least one of the two?
  8. 8.In a group of 25 children, 7 play cricket, 15 play football and 2 play both. How many play at least one of the two?
  9. 9.In a group of 32 children, 16 play chess, 14 play carrom and 8 play both. How many play only chess?
  10. 10.In a group of 39 children, 29 play cricket, 19 play football and 12 play both. How many play only football?
  11. 11.In a group of 14 children, 10 play cricket, 5 play football and 2 play both. How many play exactly one of the two?
  12. 12.In a group of 31 children, 14 play cricket, 7 play football and 2 play both. How many play at least one of the two?
  13. 13.In a group of 51 children, 23 play chess, 25 play carrom and 7 play both. How many play only carrom?
  14. 14.In a group of 58 children, 24 play chess, 30 play carrom and 11 play both. How many play at least one of the two?
  15. 15.In a group of 52 children, 20 enjoy drawing, 29 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  16. 16.In a group of 20 children, 6 like mangoes, 7 like bananas and 3 like both. How many like at least one of the two?
  17. 17.In a group of 21 children, 10 enjoy drawing, 11 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 36 children, 16 sing Hindi songs, 18 sing English songs and 12 sing both. How many sing at least one of the two?
  19. 19.In a group of 38 children, 21 like mangoes, 11 like bananas and 8 like both. How many like neither of the two?
  20. 20.In a group of 34 children, 13 like mangoes, 26 like bananas and 8 like both. How many like exactly one of the two?
  21. 21.In a group of 46 children, 26 enjoy drawing, 19 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  22. 22.In a group of 41 children, 25 play cricket, 26 play football and 12 play both. How many play at least one of the two?
  23. 23.In a group of 34 grown-ups, 20 drink tea, 13 drink coffee and 9 drink both. How many drink only tea?
  24. 24.In a group of 37 grown-ups, 24 drink tea, 16 drink coffee and 8 drink both. How many drink only coffee?
  25. 25.In a group of 49 children, 17 play cricket, 24 play football and 6 play both. How many play at least one of the two?
  26. 26.In a group of 42 children, 27 sing Hindi songs, 15 sing English songs and 7 sing both. How many sing only Hindi songs?
  27. 27.In a group of 52 children, 21 like mangoes, 26 like bananas and 7 like both. How many like neither of the two?
  28. 28.In a group of 37 children, 13 enjoy drawing, 22 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 45 children, 23 sing Hindi songs, 13 sing English songs and 6 sing both. How many sing neither of the two?
  30. 30.In a group of 25 children, 13 sing Hindi songs, 14 sing English songs and 8 sing both. How many sing exactly one of the two?
  31. 31.In a group of 37 children, 16 play cricket, 24 play football and 8 play both. How many play only football?
  32. 32.In a group of 24 children, 5 play cricket, 8 play football and 2 play both. How many play exactly one of the two?
  33. 33.In a group of 28 children, 8 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing at least one of the two?
  34. 34.In a group of 35 children, 19 like mangoes, 18 like bananas and 8 like both. How many like neither of the two?
  35. 35.In a group of 45 children, 17 sing Hindi songs, 22 sing English songs and 6 sing both. How many sing neither of the two?
  36. 36.In a group of 37 children, 30 play cricket, 16 play football and 11 play both. How many play only football?
  37. 37.In a group of 52 grown-ups, 30 drink tea, 29 drink coffee and 10 drink both. How many drink exactly one of the two?
  38. 38.In a group of 41 children, 23 like mangoes, 17 like bananas and 4 like both. How many like only mangoes?
  39. 39.In a group of 44 children, 19 play cricket, 15 play football and 2 play both. How many play exactly one of the two?
  40. 40.In a group of 48 grown-ups, 25 drink tea, 26 drink coffee and 6 drink both. How many drink neither of the two?

Answer key

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

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