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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 192 · 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 45 children, 27 sing Hindi songs, 26 sing English songs and 9 sing both. How many sing only Hindi songs?
  2. 2.In a group of 26 children, 15 enjoy drawing, 13 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  3. 3.In a group of 39 children, 24 play chess, 25 play carrom and 11 play both. How many play only carrom?
  4. 4.In a group of 32 children, 8 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  5. 5.In a group of 33 children, 8 like mangoes, 25 like bananas and 5 like both. How many like only mangoes?
  6. 6.In a group of 40 children, 23 play cricket, 8 play football and 3 play both. How many play only football?
  7. 7.In a group of 40 grown-ups, 21 drink tea, 16 drink coffee and 8 drink both. How many drink exactly one of the two?
  8. 8.In a group of 39 children, 10 enjoy drawing, 26 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  9. 9.In a group of 17 children, 8 play chess, 10 play carrom and 2 play both. How many play at least one of the two?
  10. 10.In a group of 24 children, 5 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 41 children, 16 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  12. 12.In a group of 53 children, 23 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 51 grown-ups, 21 drink tea, 29 drink coffee and 12 drink both. How many drink at least one of the two?
  14. 14.In a group of 40 grown-ups, 17 drink tea, 21 drink coffee and 6 drink both. How many drink at least one of the two?
  15. 15.In a group of 37 children, 23 like mangoes, 15 like bananas and 8 like both. How many like at least one of the two?
  16. 16.In a group of 38 grown-ups, 15 drink tea, 26 drink coffee and 8 drink both. How many drink neither of the two?
  17. 17.In a group of 42 children, 24 like mangoes, 16 like bananas and 7 like both. How many like neither of the two?
  18. 18.In a group of 34 children, 22 sing Hindi songs, 17 sing English songs and 8 sing both. How many sing only English songs?
  19. 19.In a group of 36 grown-ups, 21 drink tea, 16 drink coffee and 8 drink both. How many drink at least one of the two?
  20. 20.In a group of 30 children, 17 like mangoes, 14 like bananas and 3 like both. How many like exactly one of the two?
  21. 21.In a group of 29 children, 10 play cricket, 7 play football and 2 play both. How many play only cricket?
  22. 22.In a group of 35 children, 21 sing Hindi songs, 20 sing English songs and 12 sing both. How many sing neither of the two?
  23. 23.In a group of 36 grown-ups, 18 drink tea, 19 drink coffee and 6 drink both. How many drink neither of the two?
  24. 24.In a group of 25 children, 13 like mangoes, 10 like bananas and 6 like both. How many like only bananas?
  25. 25.In a group of 24 children, 11 sing Hindi songs, 15 sing English songs and 3 sing both. How many sing at least one of the two?
  26. 26.In a group of 21 children, 10 play chess, 9 play carrom and 5 play both. How many play neither of the two?
  27. 27.In a group of 35 children, 21 play cricket, 14 play football and 7 play both. How many play neither of the two?
  28. 28.In a group of 38 children, 25 play cricket, 9 play football and 5 play both. How many play neither of the two?
  29. 29.In a group of 27 grown-ups, 9 drink tea, 19 drink coffee and 2 drink both. How many drink only coffee?
  30. 30.In a group of 29 children, 22 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing only English songs?
  31. 31.In a group of 36 children, 25 play chess, 18 play carrom and 8 play both. How many play exactly one of the two?
  32. 32.In a group of 35 children, 13 like mangoes, 17 like bananas and 5 like both. How many like neither of the two?
  33. 33.In a group of 37 children, 16 enjoy drawing, 13 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 21 children, 10 play cricket, 9 play football and 4 play both. How many play exactly one of the two?
  35. 35.In a group of 33 children, 19 play cricket, 20 play football and 11 play both. How many play at least one of the two?
  36. 36.In a group of 50 children, 19 play chess, 21 play carrom and 4 play both. How many play only chess?
  37. 37.In a group of 42 children, 15 play cricket, 26 play football and 9 play both. How many play only cricket?
  38. 38.In a group of 39 children, 15 enjoy drawing, 21 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  39. 39.In a group of 15 grown-ups, 9 drink tea, 7 drink coffee and 2 drink both. How many drink neither of the two?
  40. 40.In a group of 29 children, 6 play chess, 22 play carrom and 3 play both. How many play only carrom?

Answer key

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

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