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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 163 · 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 43 children, 20 play chess, 30 play carrom and 10 play both. How many play at least one of the two?
  2. 2.In a group of 33 grown-ups, 19 drink tea, 23 drink coffee and 10 drink both. How many drink only coffee?
  3. 3.In a group of 37 children, 18 like mangoes, 23 like bananas and 6 like both. How many like only bananas?
  4. 4.In a group of 28 children, 13 play chess, 13 play carrom and 3 play both. How many play only chess?
  5. 5.In a group of 46 children, 20 like mangoes, 18 like bananas and 7 like both. How many like exactly one of the two?
  6. 6.In a group of 47 children, 28 play cricket, 29 play football and 11 play both. How many play neither of the two?
  7. 7.In a group of 26 children, 17 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  8. 8.In a group of 35 grown-ups, 20 drink tea, 11 drink coffee and 4 drink both. How many drink neither of the two?
  9. 9.In a group of 33 grown-ups, 15 drink tea, 21 drink coffee and 4 drink both. How many drink only coffee?
  10. 10.In a group of 42 children, 24 like mangoes, 15 like bananas and 7 like both. How many like at least one of the two?
  11. 11.In a group of 46 children, 27 play cricket, 14 play football and 8 play both. How many play neither of the two?
  12. 12.In a group of 50 children, 23 like mangoes, 20 like bananas and 3 like both. How many like exactly one of the two?
  13. 13.In a group of 50 children, 25 play cricket, 24 play football and 7 play both. How many play at least one of the two?
  14. 14.In a group of 30 children, 16 sing Hindi songs, 16 sing English songs and 11 sing both. How many sing neither of the two?
  15. 15.In a group of 38 children, 18 sing Hindi songs, 29 sing English songs and 11 sing both. How many sing at least one of the two?
  16. 16.In a group of 38 children, 21 play cricket, 12 play football and 3 play both. How many play exactly one of the two?
  17. 17.In a group of 49 children, 23 play chess, 27 play carrom and 12 play both. How many play at least one of the two?
  18. 18.In a group of 33 children, 17 play cricket, 7 play football and 2 play both. How many play exactly one of the two?
  19. 19.In a group of 40 children, 18 play cricket, 31 play football and 11 play both. How many play neither of the two?
  20. 20.In a group of 40 children, 15 like mangoes, 18 like bananas and 4 like both. How many like only mangoes?
  21. 21.In a group of 27 children, 12 like mangoes, 19 like bananas and 5 like both. How many like only bananas?
  22. 22.In a group of 53 children, 28 sing Hindi songs, 32 sing English songs and 12 sing both. How many sing only Hindi songs?
  23. 23.In a group of 40 children, 24 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing exactly one of the two?
  24. 24.In a group of 37 children, 9 like mangoes, 24 like bananas and 4 like both. How many like neither of the two?
  25. 25.In a group of 30 children, 17 like mangoes, 15 like bananas and 10 like both. How many like exactly one of the two?
  26. 26.In a group of 46 children, 27 enjoy drawing, 27 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 23 grown-ups, 18 drink tea, 15 drink coffee and 12 drink both. How many drink only tea?
  28. 28.In a group of 45 children, 19 sing Hindi songs, 26 sing English songs and 10 sing both. How many sing only English songs?
  29. 29.In a group of 53 children, 25 enjoy drawing, 25 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  30. 30.In a group of 45 children, 29 play chess, 17 play carrom and 12 play both. How many play only chess?
  31. 31.In a group of 17 children, 8 sing Hindi songs, 8 sing English songs and 2 sing both. How many sing at least one of the two?
  32. 32.In a group of 24 children, 12 like mangoes, 11 like bananas and 6 like both. How many like only mangoes?
  33. 33.In a group of 34 children, 16 play chess, 23 play carrom and 12 play both. How many play neither of the two?
  34. 34.In a group of 51 children, 24 sing Hindi songs, 19 sing English songs and 5 sing both. How many sing exactly one of the two?
  35. 35.In a group of 41 children, 12 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 46 children, 14 sing Hindi songs, 23 sing English songs and 6 sing both. How many sing at least one of the two?
  37. 37.In a group of 25 grown-ups, 13 drink tea, 10 drink coffee and 6 drink both. How many drink only tea?
  38. 38.In a group of 27 children, 14 sing Hindi songs, 20 sing English songs and 10 sing both. How many sing only Hindi songs?
  39. 39.In a group of 44 children, 16 sing Hindi songs, 27 sing English songs and 8 sing both. How many sing neither of the two?
  40. 40.In a group of 43 grown-ups, 21 drink tea, 18 drink coffee and 9 drink both. How many drink only coffee?

Answer key

  1. 40
  2. 13
  3. 17
  4. 10
  5. 24
  6. 1
  7. 22
  8. 8
  9. 17
  10. 32
  11. 13
  12. 37
  13. 42
  14. 9
  15. 36
  16. 27
  17. 38
  18. 20
  19. 2
  20. 11
  21. 14
  22. 16
  23. 26
  24. 8
  25. 12
  26. 16
  27. 6
  28. 16
  29. 40
  30. 17
  31. 14
  32. 6
  33. 7
  34. 33
  35. 8
  36. 31
  37. 7
  38. 4
  39. 9
  40. 9

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