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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 480 · 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, 22 play cricket, 15 play football and 5 play both. How many play neither of the two?
  2. 2.In a group of 22 children, 13 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  3. 3.In a group of 38 children, 15 play cricket, 19 play football and 10 play both. How many play only football?
  4. 4.In a group of 41 grown-ups, 18 drink tea, 26 drink coffee and 11 drink both. How many drink at least one of the two?
  5. 5.In a group of 44 grown-ups, 31 drink tea, 18 drink coffee and 12 drink both. How many drink exactly one of the two?
  6. 6.In a group of 40 children, 14 like mangoes, 21 like bananas and 2 like both. How many like neither of the two?
  7. 7.In a group of 36 children, 12 play cricket, 25 play football and 5 play both. How many play neither of the two?
  8. 8.In a group of 31 children, 10 enjoy drawing, 16 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  9. 9.In a group of 33 grown-ups, 18 drink tea, 14 drink coffee and 2 drink both. How many drink only tea?
  10. 10.In a group of 56 children, 24 sing Hindi songs, 24 sing English songs and 6 sing both. How many sing only English songs?
  11. 11.In a group of 22 children, 11 sing Hindi songs, 12 sing English songs and 2 sing both. How many sing at least one of the two?
  12. 12.In a group of 25 children, 11 sing Hindi songs, 17 sing English songs and 5 sing both. How many sing exactly one of the two?
  13. 13.In a group of 40 children, 12 play chess, 23 play carrom and 3 play both. How many play at least one of the two?
  14. 14.In a group of 18 children, 11 play cricket, 10 play football and 5 play both. How many play neither of the two?
  15. 15.In a group of 32 children, 17 sing Hindi songs, 20 sing English songs and 6 sing both. How many sing only English songs?
  16. 16.In a group of 25 grown-ups, 14 drink tea, 20 drink coffee and 10 drink both. How many drink neither of the two?
  17. 17.In a group of 46 children, 19 play cricket, 23 play football and 3 play both. How many play only cricket?
  18. 18.In a group of 50 children, 26 play cricket, 23 play football and 6 play both. How many play only football?
  19. 19.In a group of 14 children, 8 enjoy drawing, 7 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  20. 20.In a group of 43 children, 25 play cricket, 11 play football and 6 play both. How many play exactly one of the two?
  21. 21.In a group of 25 children, 18 enjoy drawing, 15 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  22. 22.In a group of 15 children, 7 play chess, 6 play carrom and 2 play both. How many play exactly one of the two?
  23. 23.In a group of 31 children, 15 play cricket, 15 play football and 4 play both. How many play only football?
  24. 24.In a group of 32 children, 9 sing Hindi songs, 21 sing English songs and 5 sing both. How many sing at least one of the two?
  25. 25.In a group of 28 children, 5 play cricket, 14 play football and 2 play both. How many play exactly one of the two?
  26. 26.In a group of 25 children, 9 play chess, 12 play carrom and 6 play both. How many play only chess?
  27. 27.In a group of 34 children, 21 sing Hindi songs, 5 sing English songs and 2 sing both. How many sing only English songs?
  28. 28.In a group of 18 children, 6 enjoy drawing, 13 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  29. 29.In a group of 43 children, 32 enjoy drawing, 15 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  30. 30.In a group of 44 children, 25 play cricket, 14 play football and 8 play both. How many play neither of the two?
  31. 31.In a group of 45 children, 13 like mangoes, 23 like bananas and 4 like both. How many like only mangoes?
  32. 32.In a group of 28 grown-ups, 11 drink tea, 12 drink coffee and 3 drink both. How many drink only coffee?
  33. 33.In a group of 42 children, 27 enjoy drawing, 13 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 58 children, 25 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  35. 35.In a group of 30 children, 20 play chess, 10 play carrom and 7 play both. How many play only chess?
  36. 36.In a group of 26 children, 19 play cricket, 13 play football and 7 play both. How many play only cricket?
  37. 37.In a group of 32 children, 21 play cricket, 13 play football and 7 play both. How many play neither of the two?
  38. 38.In a group of 32 children, 17 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  39. 39.In a group of 28 grown-ups, 13 drink tea, 14 drink coffee and 6 drink both. How many drink only coffee?
  40. 40.In a group of 28 children, 12 play cricket, 24 play football and 9 play both. How many play only cricket?

Answer key

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

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