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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 318 · 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 32 children, 18 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing exactly one of the two?
  2. 2.In a group of 25 children, 8 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  3. 3.In a group of 38 children, 20 like mangoes, 14 like bananas and 5 like both. How many like neither of the two?
  4. 4.In a group of 34 children, 14 enjoy drawing, 20 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 24 children, 17 play chess, 9 play carrom and 5 play both. How many play only carrom?
  6. 6.In a group of 38 children, 14 play chess, 24 play carrom and 10 play both. How many play only chess?
  7. 7.In a group of 34 grown-ups, 14 drink tea, 17 drink coffee and 3 drink both. How many drink only tea?
  8. 8.In a group of 29 children, 20 play cricket, 7 play football and 2 play both. How many play only cricket?
  9. 9.In a group of 31 children, 13 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  10. 10.In a group of 35 children, 24 like mangoes, 14 like bananas and 10 like both. How many like only mangoes?
  11. 11.In a group of 32 children, 9 play chess, 18 play carrom and 2 play both. How many play only carrom?
  12. 12.In a group of 38 children, 23 like mangoes, 16 like bananas and 10 like both. How many like at least one of the two?
  13. 13.In a group of 32 grown-ups, 15 drink tea, 11 drink coffee and 4 drink both. How many drink only coffee?
  14. 14.In a group of 43 children, 21 play chess, 14 play carrom and 2 play both. How many play only carrom?
  15. 15.In a group of 42 children, 28 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  16. 16.In a group of 36 grown-ups, 21 drink tea, 10 drink coffee and 3 drink both. How many drink neither of the two?
  17. 17.In a group of 31 children, 24 enjoy drawing, 7 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 28 children, 10 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing at least one of the two?
  19. 19.In a group of 38 children, 17 play cricket, 30 play football and 12 play both. How many play neither of the two?
  20. 20.In a group of 37 grown-ups, 20 drink tea, 25 drink coffee and 12 drink both. How many drink neither of the two?
  21. 21.In a group of 40 children, 24 play cricket, 15 play football and 10 play both. How many play neither of the two?
  22. 22.In a group of 33 children, 25 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  23. 23.In a group of 54 children, 23 like mangoes, 21 like bananas and 4 like both. How many like at least one of the two?
  24. 24.In a group of 41 children, 17 like mangoes, 24 like bananas and 11 like both. How many like only bananas?
  25. 25.In a group of 21 children, 8 play chess, 13 play carrom and 5 play both. How many play only chess?
  26. 26.In a group of 26 children, 16 like mangoes, 11 like bananas and 6 like both. How many like only mangoes?
  27. 27.In a group of 53 children, 24 enjoy drawing, 21 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  28. 28.In a group of 49 grown-ups, 18 drink tea, 28 drink coffee and 10 drink both. How many drink only tea?
  29. 29.In a group of 25 grown-ups, 11 drink tea, 12 drink coffee and 3 drink both. How many drink at least one of the two?
  30. 30.In a group of 32 children, 11 enjoy drawing, 14 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  31. 31.In a group of 48 children, 22 like mangoes, 28 like bananas and 8 like both. How many like neither of the two?
  32. 32.In a group of 24 children, 8 like mangoes, 9 like bananas and 4 like both. How many like exactly one of the two?
  33. 33.In a group of 49 children, 26 like mangoes, 27 like bananas and 9 like both. How many like neither of the two?
  34. 34.In a group of 41 children, 21 play cricket, 25 play football and 10 play both. How many play at least one of the two?
  35. 35.In a group of 33 children, 19 play cricket, 24 play football and 12 play both. How many play only football?
  36. 36.In a group of 53 children, 28 play chess, 26 play carrom and 11 play both. How many play only carrom?
  37. 37.In a group of 47 children, 23 play cricket, 15 play football and 4 play both. How many play only cricket?
  38. 38.In a group of 30 children, 14 play chess, 26 play carrom and 11 play both. How many play neither of the two?
  39. 39.In a group of 40 children, 18 play cricket, 18 play football and 9 play both. How many play neither of the two?
  40. 40.In a group of 34 children, 8 play chess, 18 play carrom and 3 play both. How many play exactly one of the two?

Answer key

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

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