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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 28 · 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 43 children, 19 play chess, 30 play carrom and 11 play both. How many play only chess?
  2. 2.In a group of 38 children, 15 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  3. 3.In a group of 30 children, 15 play chess, 24 play carrom and 10 play both. How many play only chess?
  4. 4.In a group of 39 children, 23 like mangoes, 11 like bananas and 6 like both. How many like only mangoes?
  5. 5.In a group of 33 children, 21 like mangoes, 10 like bananas and 6 like both. How many like exactly one of the two?
  6. 6.In a group of 40 children, 10 play cricket, 22 play football and 6 play both. How many play neither of the two?
  7. 7.In a group of 33 children, 22 like mangoes, 17 like bananas and 11 like both. How many like exactly one of the two?
  8. 8.In a group of 49 children, 26 like mangoes, 23 like bananas and 10 like both. How many like neither of the two?
  9. 9.In a group of 47 children, 28 play chess, 15 play carrom and 10 play both. How many play only chess?
  10. 10.In a group of 29 children, 11 play chess, 19 play carrom and 3 play both. How many play only chess?
  11. 11.In a group of 33 children, 14 like mangoes, 16 like bananas and 4 like both. How many like only bananas?
  12. 12.In a group of 45 children, 26 play cricket, 17 play football and 12 play both. How many play only cricket?
  13. 13.In a group of 39 children, 17 enjoy drawing, 17 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  14. 14.In a group of 45 children, 23 play cricket, 27 play football and 12 play both. How many play exactly one of the two?
  15. 15.In a group of 25 children, 10 sing Hindi songs, 10 sing English songs and 5 sing both. How many sing only English songs?
  16. 16.In a group of 35 grown-ups, 19 drink tea, 20 drink coffee and 10 drink both. How many drink neither of the two?
  17. 17.In a group of 36 children, 16 play chess, 16 play carrom and 5 play both. How many play neither of the two?
  18. 18.In a group of 45 children, 18 like mangoes, 23 like bananas and 4 like both. How many like only mangoes?
  19. 19.In a group of 32 children, 21 like mangoes, 20 like bananas and 10 like both. How many like at least one of the two?
  20. 20.In a group of 38 children, 21 sing Hindi songs, 14 sing English songs and 6 sing both. How many sing only Hindi songs?
  21. 21.In a group of 34 children, 18 play chess, 17 play carrom and 9 play both. How many play at least one of the two?
  22. 22.In a group of 34 grown-ups, 25 drink tea, 13 drink coffee and 6 drink both. How many drink exactly one of the two?
  23. 23.In a group of 22 grown-ups, 10 drink tea, 13 drink coffee and 6 drink both. How many drink only tea?
  24. 24.In a group of 39 children, 17 enjoy drawing, 26 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 41 grown-ups, 25 drink tea, 16 drink coffee and 7 drink both. How many drink neither of the two?
  26. 26.In a group of 31 children, 20 sing Hindi songs, 15 sing English songs and 11 sing both. How many sing at least one of the two?
  27. 27.In a group of 48 grown-ups, 26 drink tea, 30 drink coffee and 11 drink both. How many drink at least one of the two?
  28. 28.In a group of 33 children, 22 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing neither of the two?
  29. 29.In a group of 43 children, 20 play cricket, 21 play football and 7 play both. How many play neither of the two?
  30. 30.In a group of 32 children, 15 enjoy drawing, 16 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 46 children, 17 play cricket, 23 play football and 5 play both. How many play only cricket?
  32. 32.In a group of 35 children, 16 play cricket, 12 play football and 8 play both. How many play at least one of the two?
  33. 33.In a group of 49 grown-ups, 26 drink tea, 22 drink coffee and 6 drink both. How many drink only tea?
  34. 34.In a group of 52 children, 29 play cricket, 24 play football and 12 play both. How many play only football?
  35. 35.In a group of 47 children, 21 like mangoes, 25 like bananas and 6 like both. How many like only bananas?
  36. 36.In a group of 45 children, 29 play chess, 26 play carrom and 11 play both. How many play only chess?
  37. 37.In a group of 36 children, 17 enjoy drawing, 20 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  38. 38.In a group of 37 children, 12 like mangoes, 25 like bananas and 5 like both. How many like only mangoes?
  39. 39.In a group of 23 grown-ups, 15 drink tea, 9 drink coffee and 4 drink both. How many drink only tea?
  40. 40.In a group of 41 children, 25 play cricket, 25 play football and 11 play both. How many play at least one of the two?

Answer key

  1. 8
  2. 18
  3. 5
  4. 17
  5. 19
  6. 14
  7. 17
  8. 10
  9. 18
  10. 8
  11. 12
  12. 14
  13. 14
  14. 26
  15. 5
  16. 6
  17. 9
  18. 14
  19. 31
  20. 15
  21. 26
  22. 26
  23. 4
  24. 17
  25. 7
  26. 24
  27. 45
  28. 6
  29. 9
  30. 7
  31. 12
  32. 20
  33. 20
  34. 12
  35. 19
  36. 18
  37. 18
  38. 7
  39. 11
  40. 39

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