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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 309 · 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 49 children, 22 like mangoes, 28 like bananas and 10 like both. How many like exactly one of the two?
  2. 2.In a group of 27 grown-ups, 16 drink tea, 13 drink coffee and 5 drink both. How many drink only tea?
  3. 3.In a group of 32 children, 13 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  4. 4.In a group of 43 children, 19 play cricket, 25 play football and 7 play both. How many play at least one of the two?
  5. 5.In a group of 38 children, 16 play chess, 27 play carrom and 12 play both. How many play only carrom?
  6. 6.In a group of 43 children, 15 enjoy drawing, 23 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  7. 7.In a group of 27 children, 14 sing Hindi songs, 16 sing English songs and 10 sing both. How many sing exactly one of the two?
  8. 8.In a group of 25 children, 16 play chess, 17 play carrom and 11 play both. How many play only carrom?
  9. 9.In a group of 43 children, 21 like mangoes, 15 like bananas and 6 like both. How many like at least one of the two?
  10. 10.In a group of 25 grown-ups, 17 drink tea, 15 drink coffee and 10 drink both. How many drink only tea?
  11. 11.In a group of 23 children, 7 play chess, 15 play carrom and 4 play both. How many play at least one of the two?
  12. 12.In a group of 32 children, 12 sing Hindi songs, 23 sing English songs and 7 sing both. How many sing neither of the two?
  13. 13.In a group of 39 children, 14 play cricket, 19 play football and 5 play both. How many play only football?
  14. 14.In a group of 40 children, 20 sing Hindi songs, 16 sing English songs and 6 sing both. How many sing only Hindi songs?
  15. 15.In a group of 48 children, 24 play chess, 24 play carrom and 9 play both. How many play neither of the two?
  16. 16.In a group of 36 children, 24 sing Hindi songs, 20 sing English songs and 12 sing both. How many sing at least one of the two?
  17. 17.In a group of 48 children, 27 enjoy drawing, 20 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 33 children, 23 enjoy drawing, 9 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  19. 19.In a group of 26 children, 18 play cricket, 10 play football and 4 play both. How many play at least one of the two?
  20. 20.In a group of 38 children, 18 enjoy drawing, 13 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 52 children, 25 play chess, 29 play carrom and 10 play both. How many play only chess?
  22. 22.In a group of 40 children, 19 play cricket, 20 play football and 5 play both. How many play exactly one of the two?
  23. 23.In a group of 19 children, 8 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 27 children, 18 enjoy drawing, 13 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  25. 25.In a group of 45 grown-ups, 15 drink tea, 31 drink coffee and 12 drink both. How many drink neither of the two?
  26. 26.In a group of 30 children, 13 play chess, 11 play carrom and 7 play both. How many play exactly one of the two?
  27. 27.In a group of 34 children, 15 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  28. 28.In a group of 22 children, 16 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 39 children, 7 enjoy drawing, 22 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  30. 30.In a group of 33 children, 15 enjoy drawing, 15 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  31. 31.In a group of 44 children, 22 play cricket, 17 play football and 6 play both. How many play neither of the two?
  32. 32.In a group of 22 children, 14 sing Hindi songs, 9 sing English songs and 5 sing both. How many sing only Hindi songs?
  33. 33.In a group of 27 children, 18 like mangoes, 17 like bananas and 10 like both. How many like at least one of the two?
  34. 34.In a group of 49 children, 24 sing Hindi songs, 24 sing English songs and 9 sing both. How many sing neither of the two?
  35. 35.In a group of 42 children, 15 play chess, 30 play carrom and 11 play both. How many play at least one of the two?
  36. 36.In a group of 26 children, 7 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing only English songs?
  37. 37.In a group of 33 children, 18 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  38. 38.In a group of 33 children, 20 sing Hindi songs, 17 sing English songs and 7 sing both. How many sing only English songs?
  39. 39.In a group of 40 children, 29 play cricket, 19 play football and 11 play both. How many play only football?
  40. 40.In a group of 37 children, 17 play cricket, 23 play football and 7 play both. How many play only cricket?

Answer key

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

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