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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 249 · 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 41 children, 15 play chess, 16 play carrom and 3 play both. How many play only chess?
  2. 2.In a group of 36 children, 12 sing Hindi songs, 15 sing English songs and 5 sing both. How many sing at least one of the two?
  3. 3.In a group of 53 children, 24 play chess, 25 play carrom and 10 play both. How many play at least one of the two?
  4. 4.In a group of 48 children, 19 play cricket, 24 play football and 9 play both. How many play neither of the two?
  5. 5.In a group of 22 children, 14 sing Hindi songs, 10 sing English songs and 7 sing both. How many sing at least one of the two?
  6. 6.In a group of 35 children, 21 play chess, 8 play carrom and 5 play both. How many play only carrom?
  7. 7.In a group of 35 children, 9 play chess, 21 play carrom and 2 play both. How many play exactly one of the two?
  8. 8.In a group of 42 children, 25 like mangoes, 16 like bananas and 10 like both. How many like neither of the two?
  9. 9.In a group of 47 children, 17 play chess, 19 play carrom and 4 play both. How many play only chess?
  10. 10.In a group of 33 children, 21 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing only English songs?
  11. 11.In a group of 29 children, 10 enjoy drawing, 21 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  12. 12.In a group of 17 children, 10 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 29 children, 14 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  14. 14.In a group of 23 children, 15 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  15. 15.In a group of 39 children, 18 like mangoes, 23 like bananas and 11 like both. How many like exactly one of the two?
  16. 16.In a group of 40 grown-ups, 19 drink tea, 20 drink coffee and 5 drink both. How many drink only tea?
  17. 17.In a group of 23 children, 15 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing only English songs?
  18. 18.In a group of 22 grown-ups, 18 drink tea, 12 drink coffee and 9 drink both. How many drink only coffee?
  19. 19.In a group of 35 children, 14 play chess, 27 play carrom and 9 play both. How many play neither of the two?
  20. 20.In a group of 28 children, 10 play cricket, 22 play football and 7 play both. How many play at least one of the two?
  21. 21.In a group of 23 children, 12 play cricket, 15 play football and 9 play both. How many play only football?
  22. 22.In a group of 51 children, 29 like mangoes, 31 like bananas and 12 like both. How many like exactly one of the two?
  23. 23.In a group of 45 children, 17 play cricket, 30 play football and 11 play both. How many play only football?
  24. 24.In a group of 52 grown-ups, 24 drink tea, 31 drink coffee and 12 drink both. How many drink neither of the two?
  25. 25.In a group of 40 children, 12 play cricket, 27 play football and 8 play both. How many play exactly one of the two?
  26. 26.In a group of 39 children, 19 like mangoes, 21 like bananas and 6 like both. How many like only bananas?
  27. 27.In a group of 38 children, 20 play chess, 22 play carrom and 10 play both. How many play only carrom?
  28. 28.In a group of 29 children, 22 sing Hindi songs, 13 sing English songs and 10 sing both. How many sing neither of the two?
  29. 29.In a group of 23 children, 9 sing Hindi songs, 7 sing English songs and 3 sing both. How many sing neither of the two?
  30. 30.In a group of 44 children, 23 play cricket, 18 play football and 3 play both. How many play neither of the two?
  31. 31.In a group of 48 children, 24 play cricket, 21 play football and 6 play both. How many play at least one of the two?
  32. 32.In a group of 50 grown-ups, 25 drink tea, 27 drink coffee and 7 drink both. How many drink neither of the two?
  33. 33.In a group of 34 children, 14 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 31 children, 11 enjoy drawing, 13 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  35. 35.In a group of 43 children, 24 like mangoes, 10 like bananas and 4 like both. How many like neither of the two?
  36. 36.In a group of 38 children, 18 play cricket, 20 play football and 4 play both. How many play exactly one of the two?
  37. 37.In a group of 35 children, 26 play cricket, 14 play football and 6 play both. How many play neither of the two?
  38. 38.In a group of 34 children, 22 like mangoes, 10 like bananas and 5 like both. How many like only mangoes?
  39. 39.In a group of 34 children, 16 like mangoes, 8 like bananas and 5 like both. How many like neither of the two?
  40. 40.In a group of 22 grown-ups, 12 drink tea, 9 drink coffee and 2 drink both. How many drink at least one of the two?

Answer key

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

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