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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 383 · 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 47 children, 25 play cricket, 20 play football and 9 play both. How many play exactly one of the two?
  2. 2.In a group of 51 children, 25 enjoy drawing, 28 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  3. 3.In a group of 51 children, 21 play chess, 25 play carrom and 9 play both. How many play neither of the two?
  4. 4.In a group of 33 children, 8 play cricket, 22 play football and 4 play both. How many play only cricket?
  5. 5.In a group of 37 grown-ups, 22 drink tea, 13 drink coffee and 5 drink both. How many drink only coffee?
  6. 6.In a group of 62 children, 29 play chess, 27 play carrom and 9 play both. How many play only carrom?
  7. 7.In a group of 53 children, 23 sing Hindi songs, 26 sing English songs and 9 sing both. How many sing at least one of the two?
  8. 8.In a group of 31 children, 14 like mangoes, 9 like bananas and 2 like both. How many like at least one of the two?
  9. 9.In a group of 34 grown-ups, 18 drink tea, 12 drink coffee and 7 drink both. How many drink at least one of the two?
  10. 10.In a group of 43 children, 23 play cricket, 19 play football and 5 play both. How many play only football?
  11. 11.In a group of 37 children, 16 play cricket, 16 play football and 10 play both. How many play only cricket?
  12. 12.In a group of 46 children, 18 like mangoes, 31 like bananas and 11 like both. How many like at least one of the two?
  13. 13.In a group of 44 children, 21 play chess, 27 play carrom and 7 play both. How many play only chess?
  14. 14.In a group of 29 children, 19 enjoy drawing, 14 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  15. 15.In a group of 41 children, 18 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  16. 16.In a group of 38 children, 24 play cricket, 15 play football and 10 play both. How many play neither of the two?
  17. 17.In a group of 45 grown-ups, 18 drink tea, 27 drink coffee and 12 drink both. How many drink exactly one of the two?
  18. 18.In a group of 38 children, 20 play chess, 19 play carrom and 12 play both. How many play only chess?
  19. 19.In a group of 62 children, 31 play chess, 27 play carrom and 11 play both. How many play only carrom?
  20. 20.In a group of 29 grown-ups, 6 drink tea, 19 drink coffee and 3 drink both. How many drink only coffee?
  21. 21.In a group of 42 children, 23 play cricket, 23 play football and 6 play both. How many play only cricket?
  22. 22.In a group of 48 children, 20 play chess, 16 play carrom and 2 play both. How many play neither of the two?
  23. 23.In a group of 19 children, 10 play chess, 12 play carrom and 4 play both. How many play only chess?
  24. 24.In a group of 51 children, 18 enjoy drawing, 23 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  25. 25.In a group of 33 children, 22 like mangoes, 14 like bananas and 6 like both. How many like only bananas?
  26. 26.In a group of 42 children, 22 play cricket, 10 play football and 5 play both. How many play at least one of the two?
  27. 27.In a group of 32 children, 8 play chess, 24 play carrom and 5 play both. How many play only carrom?
  28. 28.In a group of 14 children, 5 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 51 children, 19 play chess, 21 play carrom and 3 play both. How many play only chess?
  30. 30.In a group of 34 children, 17 sing Hindi songs, 10 sing English songs and 6 sing both. How many sing exactly one of the two?
  31. 31.In a group of 31 children, 7 enjoy drawing, 23 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  32. 32.In a group of 50 children, 19 play cricket, 30 play football and 12 play both. How many play exactly one of the two?
  33. 33.In a group of 29 children, 19 play cricket, 19 play football and 11 play both. How many play only football?
  34. 34.In a group of 28 grown-ups, 10 drink tea, 14 drink coffee and 2 drink both. How many drink neither of the two?
  35. 35.In a group of 37 grown-ups, 19 drink tea, 20 drink coffee and 11 drink both. How many drink only tea?
  36. 36.In a group of 39 children, 17 like mangoes, 14 like bananas and 5 like both. How many like at least one of the two?
  37. 37.In a group of 52 children, 25 play cricket, 18 play football and 5 play both. How many play at least one of the two?
  38. 38.In a group of 19 children, 7 like mangoes, 10 like bananas and 4 like both. How many like exactly one of the two?
  39. 39.In a group of 48 grown-ups, 19 drink tea, 17 drink coffee and 3 drink both. How many drink exactly one of the two?
  40. 40.In a group of 43 children, 25 like mangoes, 18 like bananas and 5 like both. How many like only bananas?

Answer key

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

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