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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 394 · 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 24 children, 15 enjoy drawing, 11 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  2. 2.In a group of 43 children, 21 enjoy drawing, 22 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  3. 3.In a group of 49 children, 32 play cricket, 22 play football and 12 play both. How many play exactly one of the two?
  4. 4.In a group of 46 children, 20 play chess, 14 play carrom and 2 play both. How many play only carrom?
  5. 5.In a group of 34 children, 18 enjoy drawing, 17 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  6. 6.In a group of 37 children, 21 play cricket, 18 play football and 10 play both. How many play exactly one of the two?
  7. 7.In a group of 41 children, 15 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  8. 8.In a group of 23 children, 6 enjoy drawing, 9 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 44 children, 20 play cricket, 23 play football and 3 play both. How many play only cricket?
  10. 10.In a group of 34 grown-ups, 13 drink tea, 9 drink coffee and 2 drink both. How many drink at least one of the two?
  11. 11.In a group of 32 children, 17 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  12. 12.In a group of 35 children, 11 play chess, 19 play carrom and 4 play both. How many play only carrom?
  13. 13.In a group of 41 children, 22 play chess, 24 play carrom and 9 play both. How many play only carrom?
  14. 14.In a group of 32 grown-ups, 15 drink tea, 25 drink coffee and 10 drink both. How many drink exactly one of the two?
  15. 15.In a group of 39 children, 23 like mangoes, 15 like bananas and 4 like both. How many like only bananas?
  16. 16.In a group of 20 children, 11 play cricket, 7 play football and 4 play both. How many play only cricket?
  17. 17.In a group of 40 grown-ups, 20 drink tea, 19 drink coffee and 8 drink both. How many drink only tea?
  18. 18.In a group of 40 children, 21 enjoy drawing, 7 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  19. 19.In a group of 36 children, 22 play chess, 15 play carrom and 12 play both. How many play neither of the two?
  20. 20.In a group of 33 children, 6 enjoy drawing, 18 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  21. 21.In a group of 35 children, 17 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  22. 22.In a group of 37 children, 14 play cricket, 22 play football and 5 play both. How many play only cricket?
  23. 23.In a group of 44 children, 20 enjoy drawing, 22 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  24. 24.In a group of 26 children, 10 sing Hindi songs, 16 sing English songs and 4 sing both. How many sing only English songs?
  25. 25.In a group of 40 children, 18 play chess, 9 play carrom and 2 play both. How many play neither of the two?
  26. 26.In a group of 28 children, 10 play cricket, 7 play football and 3 play both. How many play only cricket?
  27. 27.In a group of 47 children, 20 sing Hindi songs, 27 sing English songs and 9 sing both. How many sing neither of the two?
  28. 28.In a group of 31 children, 10 play chess, 21 play carrom and 2 play both. How many play at least one of the two?
  29. 29.In a group of 26 children, 17 sing Hindi songs, 16 sing English songs and 10 sing both. How many sing only Hindi songs?
  30. 30.In a group of 30 children, 17 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  31. 31.In a group of 53 children, 18 play cricket, 25 play football and 5 play both. How many play only cricket?
  32. 32.In a group of 32 children, 11 play chess, 27 play carrom and 8 play both. How many play at least one of the two?
  33. 33.In a group of 29 children, 19 like mangoes, 13 like bananas and 6 like both. How many like at least one of the two?
  34. 34.In a group of 29 children, 16 sing Hindi songs, 23 sing English songs and 12 sing both. How many sing only Hindi songs?
  35. 35.In a group of 42 children, 27 play cricket, 21 play football and 9 play both. How many play at least one of the two?
  36. 36.In a group of 18 children, 6 like mangoes, 9 like bananas and 2 like both. How many like only mangoes?
  37. 37.In a group of 23 children, 5 sing Hindi songs, 6 sing English songs and 2 sing both. How many sing neither of the two?
  38. 38.In a group of 41 grown-ups, 27 drink tea, 14 drink coffee and 11 drink both. How many drink neither of the two?
  39. 39.In a group of 48 children, 29 play cricket, 17 play football and 9 play both. How many play only cricket?
  40. 40.In a group of 29 children, 10 like mangoes, 13 like bananas and 5 like both. How many like only mangoes?

Answer key

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

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