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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 557 · 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, 17 play cricket, 18 play football and 3 play both. How many play at least one of the two?
  2. 2.In a group of 25 children, 15 play cricket, 17 play football and 11 play both. How many play at least one of the two?
  3. 3.In a group of 26 children, 9 play cricket, 22 play football and 6 play both. How many play only football?
  4. 4.In a group of 23 children, 17 play cricket, 7 play football and 3 play both. How many play only cricket?
  5. 5.In a group of 50 children, 28 like mangoes, 22 like bananas and 9 like both. How many like only bananas?
  6. 6.In a group of 23 children, 10 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing neither of the two?
  7. 7.In a group of 16 children, 6 like mangoes, 8 like bananas and 2 like both. How many like at least one of the two?
  8. 8.In a group of 31 children, 17 like mangoes, 16 like bananas and 12 like both. How many like at least one of the two?
  9. 9.In a group of 44 children, 23 sing Hindi songs, 20 sing English songs and 4 sing both. How many sing exactly one of the two?
  10. 10.In a group of 43 children, 24 sing Hindi songs, 19 sing English songs and 11 sing both. How many sing exactly one of the two?
  11. 11.In a group of 45 grown-ups, 19 drink tea, 16 drink coffee and 2 drink both. How many drink exactly one of the two?
  12. 12.In a group of 29 children, 22 play chess, 10 play carrom and 4 play both. How many play exactly one of the two?
  13. 13.In a group of 27 children, 23 play chess, 6 play carrom and 3 play both. How many play only carrom?
  14. 14.In a group of 33 children, 25 sing Hindi songs, 13 sing English songs and 10 sing both. How many sing neither of the two?
  15. 15.In a group of 45 children, 29 play chess, 27 play carrom and 12 play both. How many play only carrom?
  16. 16.In a group of 49 children, 24 sing Hindi songs, 17 sing English songs and 4 sing both. How many sing only Hindi songs?
  17. 17.In a group of 11 grown-ups, 5 drink tea, 7 drink coffee and 2 drink both. How many drink only tea?
  18. 18.In a group of 39 children, 16 play chess, 27 play carrom and 11 play both. How many play only chess?
  19. 19.In a group of 49 grown-ups, 21 drink tea, 27 drink coffee and 9 drink both. How many drink only tea?
  20. 20.In a group of 43 children, 16 play chess, 29 play carrom and 11 play both. How many play only carrom?
  21. 21.In a group of 41 children, 23 play cricket, 20 play football and 8 play both. How many play only football?
  22. 22.In a group of 26 children, 12 sing Hindi songs, 10 sing English songs and 6 sing both. How many sing exactly one of the two?
  23. 23.In a group of 38 children, 28 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  24. 24.In a group of 34 children, 14 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 46 children, 29 enjoy drawing, 22 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 30 grown-ups, 16 drink tea, 11 drink coffee and 5 drink both. How many drink only coffee?
  27. 27.In a group of 27 children, 8 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing only English songs?
  28. 28.In a group of 50 children, 26 like mangoes, 25 like bananas and 12 like both. How many like only mangoes?
  29. 29.In a group of 47 children, 21 like mangoes, 21 like bananas and 2 like both. How many like only mangoes?
  30. 30.In a group of 40 children, 22 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  31. 31.In a group of 39 grown-ups, 18 drink tea, 14 drink coffee and 7 drink both. How many drink neither of the two?
  32. 32.In a group of 40 children, 24 enjoy drawing, 15 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  33. 33.In a group of 46 children, 17 play cricket, 24 play football and 8 play both. How many play at least one of the two?
  34. 34.In a group of 45 children, 18 enjoy drawing, 17 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  35. 35.In a group of 37 children, 12 play chess, 21 play carrom and 8 play both. How many play only carrom?
  36. 36.In a group of 43 children, 22 play chess, 23 play carrom and 11 play both. How many play neither of the two?
  37. 37.In a group of 35 children, 17 play chess, 16 play carrom and 2 play both. How many play only chess?
  38. 38.In a group of 35 children, 17 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing neither of the two?
  39. 39.In a group of 24 children, 8 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  40. 40.In a group of 56 children, 23 sing Hindi songs, 26 sing English songs and 7 sing both. How many sing only English songs?

Answer key

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

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