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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 208 · 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, 15 play cricket, 32 play football and 12 play both. How many play only cricket?
  2. 2.In a group of 52 grown-ups, 18 drink tea, 32 drink coffee and 12 drink both. How many drink only coffee?
  3. 3.In a group of 36 children, 17 like mangoes, 12 like bananas and 4 like both. How many like only mangoes?
  4. 4.In a group of 44 children, 26 play cricket, 24 play football and 12 play both. How many play only football?
  5. 5.In a group of 34 children, 15 play chess, 11 play carrom and 5 play both. How many play only chess?
  6. 6.In a group of 41 grown-ups, 18 drink tea, 26 drink coffee and 8 drink both. How many drink at least one of the two?
  7. 7.In a group of 39 children, 16 enjoy drawing, 27 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 39 children, 14 play cricket, 17 play football and 6 play both. How many play exactly one of the two?
  9. 9.In a group of 48 children, 14 sing Hindi songs, 31 sing English songs and 11 sing both. How many sing at least one of the two?
  10. 10.In a group of 46 children, 21 play chess, 27 play carrom and 7 play both. How many play only carrom?
  11. 11.In a group of 30 children, 16 like mangoes, 12 like bananas and 2 like both. How many like neither of the two?
  12. 12.In a group of 37 children, 11 play chess, 16 play carrom and 4 play both. How many play exactly one of the two?
  13. 13.In a group of 54 children, 22 enjoy drawing, 23 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  14. 14.In a group of 29 children, 21 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing at least one of the two?
  15. 15.In a group of 20 children, 14 play chess, 12 play carrom and 9 play both. How many play neither of the two?
  16. 16.In a group of 45 children, 21 play chess, 21 play carrom and 4 play both. How many play exactly one of the two?
  17. 17.In a group of 48 children, 19 play cricket, 22 play football and 2 play both. How many play only cricket?
  18. 18.In a group of 37 children, 23 play chess, 9 play carrom and 6 play both. How many play at least one of the two?
  19. 19.In a group of 43 children, 25 sing Hindi songs, 27 sing English songs and 10 sing both. How many sing only English songs?
  20. 20.In a group of 38 children, 17 like mangoes, 22 like bananas and 12 like both. How many like neither of the two?
  21. 21.In a group of 23 children, 18 sing Hindi songs, 13 sing English songs and 10 sing both. How many sing exactly one of the two?
  22. 22.In a group of 48 children, 16 sing Hindi songs, 32 sing English songs and 12 sing both. How many sing only Hindi songs?
  23. 23.In a group of 41 children, 11 play chess, 22 play carrom and 4 play both. How many play only chess?
  24. 24.In a group of 34 children, 15 play cricket, 18 play football and 3 play both. How many play exactly one of the two?
  25. 25.In a group of 38 children, 20 enjoy drawing, 15 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  26. 26.In a group of 51 children, 27 play cricket, 18 play football and 8 play both. How many play exactly one of the two?
  27. 27.In a group of 19 children, 13 like mangoes, 15 like bananas and 10 like both. How many like neither of the two?
  28. 28.In a group of 27 children, 9 play cricket, 9 play football and 4 play both. How many play only football?
  29. 29.In a group of 42 children, 13 like mangoes, 22 like bananas and 7 like both. How many like neither of the two?
  30. 30.In a group of 49 children, 26 enjoy drawing, 20 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  31. 31.In a group of 26 children, 13 play chess, 17 play carrom and 5 play both. How many play only chess?
  32. 32.In a group of 32 children, 18 play chess, 19 play carrom and 12 play both. How many play only carrom?
  33. 33.In a group of 44 children, 23 sing Hindi songs, 18 sing English songs and 12 sing both. How many sing only English songs?
  34. 34.In a group of 53 children, 30 play cricket, 29 play football and 11 play both. How many play only football?
  35. 35.In a group of 37 children, 15 like mangoes, 26 like bananas and 9 like both. How many like only bananas?
  36. 36.In a group of 38 children, 10 sing Hindi songs, 27 sing English songs and 7 sing both. How many sing only English songs?
  37. 37.In a group of 33 children, 8 enjoy drawing, 16 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  38. 38.In a group of 36 children, 17 like mangoes, 12 like bananas and 2 like both. How many like only bananas?
  39. 39.In a group of 43 children, 22 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  40. 40.In a group of 45 grown-ups, 26 drink tea, 24 drink coffee and 11 drink both. How many drink only coffee?

Answer key

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

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