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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 476 · 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 53 children, 20 play chess, 28 play carrom and 9 play both. How many play only chess?
  2. 2.In a group of 42 children, 19 sing Hindi songs, 15 sing English songs and 2 sing both. How many sing exactly one of the two?
  3. 3.In a group of 28 children, 18 play cricket, 9 play football and 4 play both. How many play neither of the two?
  4. 4.In a group of 42 children, 19 play chess, 19 play carrom and 3 play both. How many play neither of the two?
  5. 5.In a group of 27 grown-ups, 17 drink tea, 14 drink coffee and 9 drink both. How many drink exactly one of the two?
  6. 6.In a group of 38 children, 26 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  7. 7.In a group of 41 children, 28 like mangoes, 18 like bananas and 12 like both. How many like exactly one of the two?
  8. 8.In a group of 39 children, 28 play chess, 16 play carrom and 11 play both. How many play only chess?
  9. 9.In a group of 16 children, 8 like mangoes, 6 like bananas and 3 like both. How many like only bananas?
  10. 10.In a group of 30 children, 20 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  11. 11.In a group of 41 children, 13 play chess, 24 play carrom and 7 play both. How many play only chess?
  12. 12.In a group of 26 children, 19 sing Hindi songs, 17 sing English songs and 11 sing both. How many sing only Hindi songs?
  13. 13.In a group of 43 children, 17 sing Hindi songs, 23 sing English songs and 4 sing both. How many sing at least one of the two?
  14. 14.In a group of 47 children, 17 like mangoes, 29 like bananas and 10 like both. How many like only bananas?
  15. 15.In a group of 23 children, 8 play cricket, 17 play football and 4 play both. How many play neither of the two?
  16. 16.In a group of 32 children, 19 play cricket, 19 play football and 7 play both. How many play at least one of the two?
  17. 17.In a group of 53 children, 29 like mangoes, 30 like bananas and 10 like both. How many like neither of the two?
  18. 18.In a group of 36 children, 13 play chess, 14 play carrom and 6 play both. How many play only carrom?
  19. 19.In a group of 27 children, 16 play chess, 6 play carrom and 2 play both. How many play only carrom?
  20. 20.In a group of 34 children, 10 play cricket, 27 play football and 7 play both. How many play only football?
  21. 21.In a group of 29 grown-ups, 10 drink tea, 9 drink coffee and 4 drink both. How many drink only coffee?
  22. 22.In a group of 31 children, 11 like mangoes, 16 like bananas and 3 like both. How many like only bananas?
  23. 23.In a group of 29 children, 15 like mangoes, 19 like bananas and 10 like both. How many like only mangoes?
  24. 24.In a group of 26 children, 5 sing Hindi songs, 12 sing English songs and 2 sing both. How many sing only Hindi songs?
  25. 25.In a group of 41 children, 12 like mangoes, 23 like bananas and 6 like both. How many like only mangoes?
  26. 26.In a group of 45 children, 24 play cricket, 16 play football and 9 play both. How many play neither of the two?
  27. 27.In a group of 44 children, 21 play cricket, 18 play football and 6 play both. How many play exactly one of the two?
  28. 28.In a group of 13 children, 9 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing only Hindi songs?
  29. 29.In a group of 27 children, 10 sing Hindi songs, 17 sing English songs and 7 sing both. How many sing only Hindi songs?
  30. 30.In a group of 40 children, 13 enjoy drawing, 22 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 45 grown-ups, 25 drink tea, 11 drink coffee and 5 drink both. How many drink only coffee?
  32. 32.In a group of 52 children, 24 play cricket, 29 play football and 12 play both. How many play at least one of the two?
  33. 33.In a group of 44 children, 29 sing Hindi songs, 13 sing English songs and 9 sing both. How many sing only Hindi songs?
  34. 34.In a group of 33 children, 6 play chess, 21 play carrom and 2 play both. How many play only chess?
  35. 35.In a group of 36 children, 16 like mangoes, 16 like bananas and 5 like both. How many like exactly one of the two?
  36. 36.In a group of 22 grown-ups, 10 drink tea, 7 drink coffee and 3 drink both. How many drink exactly one of the two?
  37. 37.In a group of 44 grown-ups, 27 drink tea, 13 drink coffee and 9 drink both. How many drink only coffee?
  38. 38.In a group of 37 children, 10 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  39. 39.In a group of 42 grown-ups, 17 drink tea, 24 drink coffee and 6 drink both. How many drink at least one of the two?
  40. 40.In a group of 27 children, 9 enjoy drawing, 9 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?

Answer key

  1. 11
  2. 30
  3. 5
  4. 7
  5. 13
  6. 19
  7. 22
  8. 17
  9. 3
  10. 16
  11. 6
  12. 8
  13. 36
  14. 19
  15. 2
  16. 31
  17. 4
  18. 8
  19. 4
  20. 20
  21. 5
  22. 13
  23. 5
  24. 3
  25. 6
  26. 14
  27. 27
  28. 4
  29. 3
  30. 11
  31. 6
  32. 41
  33. 20
  34. 4
  35. 22
  36. 11
  37. 4
  38. 27
  39. 35
  40. 14

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