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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 224 · 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, 32 play cricket, 17 play football and 12 play both. How many play exactly one of the two?
  2. 2.In a group of 45 grown-ups, 24 drink tea, 30 drink coffee and 10 drink both. How many drink neither of the two?
  3. 3.In a group of 34 children, 14 play cricket, 27 play football and 11 play both. How many play exactly one of the two?
  4. 4.In a group of 37 children, 24 play cricket, 17 play football and 6 play both. How many play only football?
  5. 5.In a group of 25 children, 10 play cricket, 21 play football and 7 play both. How many play only cricket?
  6. 6.In a group of 44 children, 24 play chess, 18 play carrom and 12 play both. How many play exactly one of the two?
  7. 7.In a group of 45 children, 20 play chess, 18 play carrom and 7 play both. How many play only chess?
  8. 8.In a group of 35 children, 14 play cricket, 18 play football and 7 play both. How many play exactly one of the two?
  9. 9.In a group of 37 children, 21 play cricket, 17 play football and 6 play both. How many play neither of the two?
  10. 10.In a group of 30 children, 12 enjoy drawing, 18 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 47 children, 14 enjoy drawing, 24 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  12. 12.In a group of 31 grown-ups, 12 drink tea, 22 drink coffee and 7 drink both. How many drink only tea?
  13. 13.In a group of 44 children, 21 play cricket, 19 play football and 4 play both. How many play only cricket?
  14. 14.In a group of 24 children, 16 enjoy drawing, 16 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 28 children, 11 play cricket, 7 play football and 2 play both. How many play at least one of the two?
  16. 16.In a group of 29 children, 21 play cricket, 14 play football and 8 play both. How many play exactly one of the two?
  17. 17.In a group of 42 children, 19 enjoy drawing, 19 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 42 children, 20 play cricket, 15 play football and 3 play both. How many play only football?
  19. 19.In a group of 36 children, 24 play cricket, 14 play football and 6 play both. How many play exactly one of the two?
  20. 20.In a group of 26 children, 19 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing only Hindi songs?
  21. 21.In a group of 28 grown-ups, 14 drink tea, 12 drink coffee and 9 drink both. How many drink only coffee?
  22. 22.In a group of 34 children, 15 sing Hindi songs, 19 sing English songs and 10 sing both. How many sing exactly one of the two?
  23. 23.In a group of 34 children, 15 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  24. 24.In a group of 34 children, 19 enjoy drawing, 22 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 35 children, 14 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 44 children, 21 like mangoes, 23 like bananas and 12 like both. How many like neither of the two?
  27. 27.In a group of 41 children, 12 sing Hindi songs, 21 sing English songs and 3 sing both. How many sing exactly one of the two?
  28. 28.In a group of 21 grown-ups, 9 drink tea, 10 drink coffee and 4 drink both. How many drink only tea?
  29. 29.In a group of 21 children, 7 like mangoes, 14 like bananas and 2 like both. How many like only mangoes?
  30. 30.In a group of 43 children, 22 sing Hindi songs, 24 sing English songs and 10 sing both. How many sing only English songs?
  31. 31.In a group of 32 children, 16 enjoy drawing, 23 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  32. 32.In a group of 52 children, 28 play cricket, 25 play football and 9 play both. How many play only football?
  33. 33.In a group of 21 children, 5 like mangoes, 16 like bananas and 2 like both. How many like exactly one of the two?
  34. 34.In a group of 46 children, 27 play chess, 16 play carrom and 8 play both. How many play only chess?
  35. 35.In a group of 52 children, 29 play cricket, 20 play football and 11 play both. How many play only cricket?
  36. 36.In a group of 22 grown-ups, 17 drink tea, 8 drink coffee and 5 drink both. How many drink exactly one of the two?
  37. 37.In a group of 35 children, 17 play cricket, 19 play football and 3 play both. How many play only football?
  38. 38.In a group of 44 children, 28 enjoy drawing, 26 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 36 grown-ups, 18 drink tea, 26 drink coffee and 12 drink both. How many drink only tea?
  40. 40.In a group of 54 children, 24 play chess, 24 play carrom and 4 play both. How many play neither of the two?

Answer key

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

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