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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 596 · 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 40 children, 20 play chess, 18 play carrom and 10 play both. How many play exactly one of the two?
  2. 2.In a group of 22 children, 15 like mangoes, 9 like bananas and 3 like both. How many like exactly one of the two?
  3. 3.In a group of 40 children, 25 like mangoes, 20 like bananas and 12 like both. How many like only bananas?
  4. 4.In a group of 37 grown-ups, 17 drink tea, 20 drink coffee and 3 drink both. How many drink neither of the two?
  5. 5.In a group of 21 children, 14 like mangoes, 12 like bananas and 8 like both. How many like only bananas?
  6. 6.In a group of 34 children, 16 sing Hindi songs, 7 sing English songs and 2 sing both. How many sing exactly one of the two?
  7. 7.In a group of 46 children, 24 play cricket, 29 play football and 11 play both. How many play exactly one of the two?
  8. 8.In a group of 45 children, 21 play chess, 14 play carrom and 2 play both. How many play only chess?
  9. 9.In a group of 41 children, 18 play cricket, 20 play football and 9 play both. How many play only cricket?
  10. 10.In a group of 29 grown-ups, 8 drink tea, 17 drink coffee and 3 drink both. How many drink only coffee?
  11. 11.In a group of 32 children, 16 enjoy drawing, 19 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  12. 12.In a group of 32 children, 28 play chess, 11 play carrom and 8 play both. How many play only carrom?
  13. 13.In a group of 42 children, 21 play chess, 15 play carrom and 6 play both. How many play only carrom?
  14. 14.In a group of 47 children, 20 sing Hindi songs, 18 sing English songs and 4 sing both. How many sing only Hindi songs?
  15. 15.In a group of 36 children, 15 play chess, 29 play carrom and 10 play both. How many play neither of the two?
  16. 16.In a group of 41 children, 14 enjoy drawing, 16 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  17. 17.In a group of 43 children, 18 enjoy drawing, 23 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  18. 18.In a group of 24 children, 9 play cricket, 20 play football and 6 play both. How many play at least one of the two?
  19. 19.In a group of 33 grown-ups, 23 drink tea, 19 drink coffee and 11 drink both. How many drink only tea?
  20. 20.In a group of 35 children, 12 play cricket, 22 play football and 7 play both. How many play only cricket?
  21. 21.In a group of 39 grown-ups, 16 drink tea, 25 drink coffee and 11 drink both. How many drink exactly one of the two?
  22. 22.In a group of 40 children, 16 like mangoes, 27 like bananas and 12 like both. How many like only bananas?
  23. 23.In a group of 49 children, 27 play cricket, 28 play football and 11 play both. How many play exactly one of the two?
  24. 24.In a group of 51 children, 20 play cricket, 26 play football and 6 play both. How many play exactly one of the two?
  25. 25.In a group of 25 children, 17 sing Hindi songs, 16 sing English songs and 11 sing both. How many sing at least one of the two?
  26. 26.In a group of 34 children, 11 enjoy drawing, 27 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 45 children, 23 play chess, 30 play carrom and 10 play both. How many play only chess?
  28. 28.In a group of 28 children, 5 enjoy drawing, 20 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  29. 29.In a group of 36 children, 14 play cricket, 21 play football and 8 play both. How many play only cricket?
  30. 30.In a group of 34 children, 23 play cricket, 14 play football and 5 play both. How many play at least one of the two?
  31. 31.In a group of 22 children, 5 like mangoes, 13 like bananas and 2 like both. How many like exactly one of the two?
  32. 32.In a group of 40 children, 12 play chess, 17 play carrom and 3 play both. How many play only carrom?
  33. 33.In a group of 26 children, 13 like mangoes, 11 like bananas and 4 like both. How many like only mangoes?
  34. 34.In a group of 34 children, 18 sing Hindi songs, 24 sing English songs and 9 sing both. How many sing only English songs?
  35. 35.In a group of 42 grown-ups, 19 drink tea, 30 drink coffee and 12 drink both. How many drink only tea?
  36. 36.In a group of 42 children, 14 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 28 children, 13 play cricket, 8 play football and 5 play both. How many play only football?
  38. 38.In a group of 37 grown-ups, 22 drink tea, 12 drink coffee and 2 drink both. How many drink only coffee?
  39. 39.In a group of 49 children, 29 play cricket, 15 play football and 10 play both. How many play exactly one of the two?
  40. 40.In a group of 31 children, 12 sing Hindi songs, 22 sing English songs and 6 sing both. How many sing neither of the two?

Answer key

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

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