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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 253 · 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 35 children, 9 enjoy drawing, 25 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  2. 2.In a group of 45 children, 25 play chess, 21 play carrom and 7 play both. How many play neither of the two?
  3. 3.In a group of 31 children, 22 play chess, 12 play carrom and 8 play both. How many play only carrom?
  4. 4.In a group of 17 children, 12 enjoy drawing, 11 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 48 children, 29 play chess, 21 play carrom and 12 play both. How many play at least one of the two?
  6. 6.In a group of 45 children, 16 play cricket, 27 play football and 11 play both. How many play only cricket?
  7. 7.In a group of 33 grown-ups, 16 drink tea, 6 drink coffee and 2 drink both. How many drink only tea?
  8. 8.In a group of 34 children, 17 enjoy drawing, 24 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  9. 9.In a group of 25 children, 9 like mangoes, 13 like bananas and 2 like both. How many like only mangoes?
  10. 10.In a group of 34 children, 23 sing Hindi songs, 13 sing English songs and 8 sing both. How many sing only English songs?
  11. 11.In a group of 30 children, 19 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing only Hindi songs?
  12. 12.In a group of 38 children, 27 play cricket, 17 play football and 9 play both. How many play only football?
  13. 13.In a group of 31 children, 21 play cricket, 14 play football and 10 play both. How many play exactly one of the two?
  14. 14.In a group of 32 children, 14 play chess, 8 play carrom and 3 play both. How many play neither of the two?
  15. 15.In a group of 41 children, 20 like mangoes, 16 like bananas and 6 like both. How many like neither of the two?
  16. 16.In a group of 44 children, 25 sing Hindi songs, 17 sing English songs and 12 sing both. How many sing exactly one of the two?
  17. 17.In a group of 24 children, 17 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 27 grown-ups, 18 drink tea, 15 drink coffee and 10 drink both. How many drink exactly one of the two?
  19. 19.In a group of 46 children, 28 play cricket, 24 play football and 10 play both. How many play only cricket?
  20. 20.In a group of 33 children, 14 sing Hindi songs, 18 sing English songs and 3 sing both. How many sing neither of the two?
  21. 21.In a group of 36 children, 30 play chess, 15 play carrom and 10 play both. How many play neither of the two?
  22. 22.In a group of 17 children, 12 play chess, 13 play carrom and 9 play both. How many play exactly one of the two?
  23. 23.In a group of 28 children, 21 enjoy drawing, 10 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  24. 24.In a group of 30 grown-ups, 10 drink tea, 19 drink coffee and 2 drink both. How many drink neither of the two?
  25. 25.In a group of 40 children, 30 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  26. 26.In a group of 40 children, 17 enjoy drawing, 22 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 33 grown-ups, 16 drink tea, 18 drink coffee and 5 drink both. How many drink only tea?
  28. 28.In a group of 40 children, 17 sing Hindi songs, 13 sing English songs and 3 sing both. How many sing only Hindi songs?
  29. 29.In a group of 38 children, 7 play chess, 21 play carrom and 4 play both. How many play exactly one of the two?
  30. 30.In a group of 35 children, 19 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing neither of the two?
  31. 31.In a group of 30 children, 17 play cricket, 19 play football and 7 play both. How many play exactly one of the two?
  32. 32.In a group of 45 children, 29 play cricket, 18 play football and 12 play both. How many play neither of the two?
  33. 33.In a group of 33 grown-ups, 24 drink tea, 12 drink coffee and 9 drink both. How many drink only tea?
  34. 34.In a group of 43 children, 28 like mangoes, 26 like bananas and 12 like both. How many like exactly one of the two?
  35. 35.In a group of 44 children, 11 play cricket, 22 play football and 4 play both. How many play at least one of the two?
  36. 36.In a group of 33 children, 18 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  37. 37.In a group of 39 children, 11 enjoy drawing, 21 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  38. 38.In a group of 28 grown-ups, 7 drink tea, 24 drink coffee and 4 drink both. How many drink at least one of the two?
  39. 39.In a group of 36 children, 13 enjoy drawing, 14 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  40. 40.In a group of 50 children, 21 sing Hindi songs, 29 sing English songs and 10 sing both. How many sing at least one of the two?

Answer key

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

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