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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 151 · 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 25 children, 7 like mangoes, 13 like bananas and 3 like both. How many like at least one of the two?
  2. 2.In a group of 37 children, 21 play cricket, 15 play football and 8 play both. How many play at least one of the two?
  3. 3.In a group of 27 children, 14 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 42 children, 21 sing Hindi songs, 24 sing English songs and 6 sing both. How many sing only English songs?
  5. 5.In a group of 34 grown-ups, 14 drink tea, 25 drink coffee and 7 drink both. How many drink neither of the two?
  6. 6.In a group of 35 children, 15 play cricket, 31 play football and 12 play both. How many play exactly one of the two?
  7. 7.In a group of 46 children, 23 play chess, 30 play carrom and 11 play both. How many play neither of the two?
  8. 8.In a group of 37 children, 22 enjoy drawing, 7 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 32 children, 7 play chess, 15 play carrom and 3 play both. How many play neither of the two?
  10. 10.In a group of 41 grown-ups, 15 drink tea, 22 drink coffee and 3 drink both. How many drink only coffee?
  11. 11.In a group of 25 children, 16 play chess, 8 play carrom and 3 play both. How many play exactly one of the two?
  12. 12.In a group of 34 children, 14 enjoy drawing, 20 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  13. 13.In a group of 40 children, 16 play cricket, 16 play football and 4 play both. How many play only football?
  14. 14.In a group of 30 children, 10 enjoy drawing, 18 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 20 children, 13 play cricket, 10 play football and 6 play both. How many play neither of the two?
  16. 16.In a group of 46 grown-ups, 24 drink tea, 24 drink coffee and 5 drink both. How many drink exactly one of the two?
  17. 17.In a group of 29 children, 20 sing Hindi songs, 9 sing English songs and 5 sing both. How many sing at least one of the two?
  18. 18.In a group of 32 children, 11 enjoy drawing, 13 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  19. 19.In a group of 27 children, 12 play cricket, 18 play football and 8 play both. How many play at least one of the two?
  20. 20.In a group of 28 children, 14 play cricket, 5 play football and 2 play both. How many play only cricket?
  21. 21.In a group of 33 grown-ups, 12 drink tea, 22 drink coffee and 9 drink both. How many drink only coffee?
  22. 22.In a group of 29 children, 24 play chess, 15 play carrom and 12 play both. How many play neither of the two?
  23. 23.In a group of 28 children, 16 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing at least one of the two?
  24. 24.In a group of 47 children, 27 sing Hindi songs, 18 sing English songs and 7 sing both. How many sing at least one of the two?
  25. 25.In a group of 27 children, 16 sing Hindi songs, 9 sing English songs and 6 sing both. How many sing only English songs?
  26. 26.In a group of 24 grown-ups, 9 drink tea, 15 drink coffee and 2 drink both. How many drink only coffee?
  27. 27.In a group of 39 children, 11 enjoy drawing, 20 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  28. 28.In a group of 26 grown-ups, 15 drink tea, 16 drink coffee and 7 drink both. How many drink exactly one of the two?
  29. 29.In a group of 41 grown-ups, 22 drink tea, 21 drink coffee and 4 drink both. How many drink only tea?
  30. 30.In a group of 33 grown-ups, 14 drink tea, 20 drink coffee and 7 drink both. How many drink only coffee?
  31. 31.In a group of 37 grown-ups, 21 drink tea, 10 drink coffee and 3 drink both. How many drink only tea?
  32. 32.In a group of 33 children, 13 play cricket, 24 play football and 5 play both. How many play neither of the two?
  33. 33.In a group of 19 children, 14 play cricket, 9 play football and 5 play both. How many play only cricket?
  34. 34.In a group of 39 children, 23 play chess, 27 play carrom and 12 play both. How many play only chess?
  35. 35.In a group of 34 children, 20 play cricket, 16 play football and 3 play both. How many play only football?
  36. 36.In a group of 37 grown-ups, 14 drink tea, 23 drink coffee and 11 drink both. How many drink at least one of the two?
  37. 37.In a group of 22 grown-ups, 13 drink tea, 15 drink coffee and 10 drink both. How many drink exactly one of the two?
  38. 38.In a group of 28 children, 19 enjoy drawing, 14 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 22 grown-ups, 15 drink tea, 17 drink coffee and 12 drink both. How many drink only tea?
  40. 40.In a group of 35 children, 15 play cricket, 11 play football and 4 play both. How many play neither of the two?

Answer key

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

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