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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 143 · 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 46 children, 22 play chess, 26 play carrom and 10 play both. How many play only chess?
  2. 2.In a group of 34 children, 22 play chess, 15 play carrom and 6 play both. How many play exactly one of the two?
  3. 3.In a group of 42 children, 18 enjoy drawing, 23 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 44 children, 23 sing Hindi songs, 21 sing English songs and 6 sing both. How many sing at least one of the two?
  5. 5.In a group of 26 grown-ups, 15 drink tea, 15 drink coffee and 11 drink both. How many drink neither of the two?
  6. 6.In a group of 32 children, 19 like mangoes, 17 like bananas and 5 like both. How many like only bananas?
  7. 7.In a group of 43 children, 19 enjoy drawing, 18 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 34 children, 13 play cricket, 30 play football and 10 play both. How many play neither of the two?
  9. 9.In a group of 34 children, 13 play chess, 29 play carrom and 10 play both. How many play only chess?
  10. 10.In a group of 42 children, 15 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 42 children, 14 play cricket, 16 play football and 2 play both. How many play only cricket?
  12. 12.In a group of 62 children, 28 enjoy drawing, 28 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  13. 13.In a group of 44 children, 24 like mangoes, 23 like bananas and 8 like both. How many like at least one of the two?
  14. 14.In a group of 41 grown-ups, 23 drink tea, 16 drink coffee and 12 drink both. How many drink neither of the two?
  15. 15.In a group of 38 children, 17 like mangoes, 22 like bananas and 2 like both. How many like neither of the two?
  16. 16.In a group of 32 grown-ups, 9 drink tea, 18 drink coffee and 5 drink both. How many drink neither of the two?
  17. 17.In a group of 39 children, 8 like mangoes, 24 like bananas and 4 like both. How many like neither of the two?
  18. 18.In a group of 33 grown-ups, 21 drink tea, 11 drink coffee and 6 drink both. How many drink exactly one of the two?
  19. 19.In a group of 41 children, 27 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  20. 20.In a group of 34 grown-ups, 18 drink tea, 12 drink coffee and 7 drink both. How many drink only tea?
  21. 21.In a group of 34 children, 21 play chess, 19 play carrom and 7 play both. How many play only chess?
  22. 22.In a group of 38 children, 21 enjoy drawing, 16 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 38 children, 19 play cricket, 26 play football and 8 play both. How many play only cricket?
  24. 24.In a group of 41 children, 27 like mangoes, 21 like bananas and 11 like both. How many like at least one of the two?
  25. 25.In a group of 29 children, 13 play cricket, 14 play football and 8 play both. How many play exactly one of the two?
  26. 26.In a group of 38 children, 24 play cricket, 13 play football and 7 play both. How many play only football?
  27. 27.In a group of 31 children, 14 sing Hindi songs, 16 sing English songs and 6 sing both. How many sing at least one of the two?
  28. 28.In a group of 44 children, 20 play cricket, 25 play football and 11 play both. How many play only football?
  29. 29.In a group of 26 children, 6 play chess, 17 play carrom and 3 play both. How many play exactly one of the two?
  30. 30.In a group of 39 grown-ups, 25 drink tea, 15 drink coffee and 5 drink both. How many drink only tea?
  31. 31.In a group of 48 children, 18 enjoy drawing, 21 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  32. 32.In a group of 37 children, 15 play cricket, 12 play football and 2 play both. How many play at least one of the two?
  33. 33.In a group of 21 children, 5 like mangoes, 10 like bananas and 2 like both. How many like neither of the two?
  34. 34.In a group of 27 children, 15 play cricket, 16 play football and 9 play both. How many play only football?
  35. 35.In a group of 19 children, 11 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  36. 36.In a group of 44 children, 20 play cricket, 21 play football and 7 play both. How many play neither of the two?
  37. 37.In a group of 60 children, 29 like mangoes, 27 like bananas and 9 like both. How many like only bananas?
  38. 38.In a group of 48 children, 20 play chess, 28 play carrom and 9 play both. How many play neither of the two?
  39. 39.In a group of 28 children, 20 play cricket, 8 play football and 5 play both. How many play only cricket?
  40. 40.In a group of 23 grown-ups, 8 drink tea, 12 drink coffee and 4 drink both. How many drink only tea?

Answer key

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

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