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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 271 · 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 44 children, 27 sing Hindi songs, 19 sing English songs and 10 sing both. How many sing only Hindi songs?
  2. 2.In a group of 33 children, 9 like mangoes, 26 like bananas and 6 like both. How many like only mangoes?
  3. 3.In a group of 27 grown-ups, 15 drink tea, 11 drink coffee and 4 drink both. How many drink exactly one of the two?
  4. 4.In a group of 39 children, 20 enjoy drawing, 22 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 28 grown-ups, 11 drink tea, 18 drink coffee and 3 drink both. How many drink neither of the two?
  6. 6.In a group of 51 children, 21 play cricket, 25 play football and 6 play both. How many play only cricket?
  7. 7.In a group of 37 children, 5 sing Hindi songs, 20 sing English songs and 2 sing both. How many sing only Hindi songs?
  8. 8.In a group of 43 children, 24 play chess, 9 play carrom and 4 play both. How many play neither of the two?
  9. 9.In a group of 41 children, 20 enjoy drawing, 20 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 41 children, 25 play cricket, 19 play football and 10 play both. How many play only football?
  11. 11.In a group of 32 children, 18 enjoy drawing, 15 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  12. 12.In a group of 23 children, 14 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 21 children, 7 play cricket, 16 play football and 3 play both. How many play neither of the two?
  14. 14.In a group of 24 grown-ups, 16 drink tea, 17 drink coffee and 12 drink both. How many drink only tea?
  15. 15.In a group of 33 children, 20 sing Hindi songs, 12 sing English songs and 5 sing both. How many sing neither of the two?
  16. 16.In a group of 49 children, 23 sing Hindi songs, 22 sing English songs and 3 sing both. How many sing only Hindi songs?
  17. 17.In a group of 40 children, 14 play chess, 17 play carrom and 4 play both. How many play at least one of the two?
  18. 18.In a group of 52 grown-ups, 30 drink tea, 24 drink coffee and 12 drink both. How many drink only tea?
  19. 19.In a group of 35 children, 17 like mangoes, 23 like bananas and 9 like both. How many like only bananas?
  20. 20.In a group of 34 children, 19 play cricket, 20 play football and 8 play both. How many play exactly one of the two?
  21. 21.In a group of 33 children, 16 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing neither of the two?
  22. 22.In a group of 33 children, 19 like mangoes, 14 like bananas and 2 like both. How many like exactly one of the two?
  23. 23.In a group of 38 children, 15 sing Hindi songs, 30 sing English songs and 10 sing both. How many sing neither of the two?
  24. 24.In a group of 53 children, 31 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 33 children, 16 sing Hindi songs, 25 sing English songs and 10 sing both. How many sing only Hindi songs?
  26. 26.In a group of 44 children, 19 play cricket, 15 play football and 4 play both. How many play neither of the two?
  27. 27.In a group of 24 children, 5 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing neither of the two?
  28. 28.In a group of 15 children, 8 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  29. 29.In a group of 46 children, 19 play cricket, 30 play football and 12 play both. How many play neither of the two?
  30. 30.In a group of 35 children, 13 sing Hindi songs, 26 sing English songs and 7 sing both. How many sing only Hindi songs?
  31. 31.In a group of 28 grown-ups, 8 drink tea, 11 drink coffee and 4 drink both. How many drink only coffee?
  32. 32.In a group of 49 children, 22 enjoy drawing, 26 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  33. 33.In a group of 47 children, 26 play cricket, 18 play football and 12 play both. How many play only cricket?
  34. 34.In a group of 37 children, 19 like mangoes, 26 like bananas and 9 like both. How many like only bananas?
  35. 35.In a group of 20 children, 11 enjoy drawing, 7 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  36. 36.In a group of 40 grown-ups, 14 drink tea, 15 drink coffee and 3 drink both. How many drink at least one of the two?
  37. 37.In a group of 31 grown-ups, 15 drink tea, 16 drink coffee and 4 drink both. How many drink at least one of the two?
  38. 38.In a group of 43 children, 16 play chess, 27 play carrom and 12 play both. How many play exactly one of the two?
  39. 39.In a group of 28 children, 12 sing Hindi songs, 15 sing English songs and 3 sing both. How many sing only English songs?
  40. 40.In a group of 38 grown-ups, 5 drink tea, 20 drink coffee and 2 drink both. How many drink only tea?

Answer key

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

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