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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 130 · 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 36 children, 19 sing Hindi songs, 18 sing English songs and 10 sing both. How many sing only English songs?
  2. 2.In a group of 43 children, 27 like mangoes, 20 like bananas and 10 like both. How many like neither of the two?
  3. 3.In a group of 29 children, 6 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  4. 4.In a group of 43 children, 25 play chess, 14 play carrom and 5 play both. How many play only chess?
  5. 5.In a group of 34 children, 22 like mangoes, 19 like bananas and 9 like both. How many like only mangoes?
  6. 6.In a group of 23 children, 14 enjoy drawing, 14 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  7. 7.In a group of 35 children, 27 enjoy drawing, 16 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  8. 8.In a group of 15 children, 6 play chess, 9 play carrom and 3 play both. How many play neither of the two?
  9. 9.In a group of 41 children, 29 play cricket, 17 play football and 11 play both. How many play only football?
  10. 10.In a group of 37 children, 21 sing Hindi songs, 24 sing English songs and 9 sing both. How many sing only Hindi songs?
  11. 11.In a group of 38 grown-ups, 12 drink tea, 20 drink coffee and 9 drink both. How many drink only tea?
  12. 12.In a group of 22 grown-ups, 5 drink tea, 15 drink coffee and 2 drink both. How many drink only coffee?
  13. 13.In a group of 44 children, 12 sing Hindi songs, 27 sing English songs and 9 sing both. How many sing only Hindi songs?
  14. 14.In a group of 31 children, 23 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  15. 15.In a group of 41 grown-ups, 15 drink tea, 19 drink coffee and 3 drink both. How many drink exactly one of the two?
  16. 16.In a group of 36 children, 19 sing Hindi songs, 27 sing English songs and 11 sing both. How many sing only English songs?
  17. 17.In a group of 22 grown-ups, 15 drink tea, 13 drink coffee and 8 drink both. How many drink only tea?
  18. 18.In a group of 43 children, 26 enjoy drawing, 20 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  19. 19.In a group of 29 children, 18 play cricket, 11 play football and 8 play both. How many play neither of the two?
  20. 20.In a group of 32 children, 9 play chess, 17 play carrom and 6 play both. How many play neither of the two?
  21. 21.In a group of 24 children, 13 play cricket, 7 play football and 3 play both. How many play only football?
  22. 22.In a group of 44 children, 23 sing Hindi songs, 28 sing English songs and 10 sing both. How many sing exactly one of the two?
  23. 23.In a group of 30 children, 16 enjoy drawing, 17 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  24. 24.In a group of 47 children, 17 play chess, 20 play carrom and 3 play both. How many play neither of the two?
  25. 25.In a group of 46 children, 14 like mangoes, 26 like bananas and 9 like both. How many like exactly one of the two?
  26. 26.In a group of 28 children, 13 play cricket, 7 play football and 4 play both. How many play exactly one of the two?
  27. 27.In a group of 23 children, 11 play chess, 16 play carrom and 6 play both. How many play only chess?
  28. 28.In a group of 48 children, 19 play chess, 21 play carrom and 4 play both. How many play neither of the two?
  29. 29.In a group of 45 children, 23 sing Hindi songs, 17 sing English songs and 6 sing both. How many sing at least one of the two?
  30. 30.In a group of 26 children, 12 like mangoes, 16 like bananas and 6 like both. How many like only mangoes?
  31. 31.In a group of 52 children, 23 play cricket, 24 play football and 7 play both. How many play exactly one of the two?
  32. 32.In a group of 43 children, 18 play cricket, 25 play football and 7 play both. How many play only football?
  33. 33.In a group of 36 children, 20 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 19 children, 9 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  35. 35.In a group of 49 children, 28 play chess, 27 play carrom and 8 play both. How many play neither of the two?
  36. 36.In a group of 42 children, 17 sing Hindi songs, 22 sing English songs and 11 sing both. How many sing only English songs?
  37. 37.In a group of 33 grown-ups, 17 drink tea, 16 drink coffee and 5 drink both. How many drink exactly one of the two?
  38. 38.In a group of 33 children, 12 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 40 children, 18 play cricket, 24 play football and 11 play both. How many play neither of the two?
  40. 40.In a group of 60 grown-ups, 28 drink tea, 27 drink coffee and 8 drink both. How many drink neither of the two?

Answer key

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

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