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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 397 · 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, 20 play cricket, 23 play football and 11 play both. How many play only cricket?
  2. 2.In a group of 41 children, 23 play chess, 10 play carrom and 6 play both. How many play exactly one of the two?
  3. 3.In a group of 32 children, 14 play chess, 11 play carrom and 8 play both. How many play at least one of the two?
  4. 4.In a group of 38 children, 29 like mangoes, 16 like bananas and 9 like both. How many like exactly one of the two?
  5. 5.In a group of 36 children, 10 play chess, 20 play carrom and 2 play both. How many play neither of the two?
  6. 6.In a group of 48 children, 22 sing Hindi songs, 26 sing English songs and 12 sing both. How many sing only English songs?
  7. 7.In a group of 35 children, 8 like mangoes, 19 like bananas and 3 like both. How many like at least one of the two?
  8. 8.In a group of 33 children, 21 sing Hindi songs, 14 sing English songs and 4 sing both. How many sing only Hindi songs?
  9. 9.In a group of 36 grown-ups, 22 drink tea, 9 drink coffee and 6 drink both. How many drink only tea?
  10. 10.In a group of 32 children, 9 play chess, 23 play carrom and 3 play both. How many play only carrom?
  11. 11.In a group of 21 children, 13 play chess, 10 play carrom and 7 play both. How many play only chess?
  12. 12.In a group of 24 grown-ups, 16 drink tea, 14 drink coffee and 8 drink both. How many drink only tea?
  13. 13.In a group of 23 children, 16 enjoy drawing, 7 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  14. 14.In a group of 31 children, 20 play chess, 15 play carrom and 6 play both. How many play only carrom?
  15. 15.In a group of 44 children, 13 sing Hindi songs, 29 sing English songs and 10 sing both. How many sing only Hindi songs?
  16. 16.In a group of 49 children, 21 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing only Hindi songs?
  17. 17.In a group of 50 children, 27 play chess, 19 play carrom and 11 play both. How many play at least one of the two?
  18. 18.In a group of 24 children, 16 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing at least one of the two?
  19. 19.In a group of 44 children, 18 like mangoes, 24 like bananas and 5 like both. How many like exactly one of the two?
  20. 20.In a group of 41 children, 15 play cricket, 17 play football and 3 play both. How many play at least one of the two?
  21. 21.In a group of 50 children, 28 play cricket, 25 play football and 9 play both. How many play neither of the two?
  22. 22.In a group of 33 grown-ups, 14 drink tea, 10 drink coffee and 4 drink both. How many drink at least one of the two?
  23. 23.In a group of 38 children, 13 play chess, 18 play carrom and 6 play both. How many play only chess?
  24. 24.In a group of 25 children, 10 sing Hindi songs, 12 sing English songs and 5 sing both. How many sing exactly one of the two?
  25. 25.In a group of 40 children, 25 sing Hindi songs, 20 sing English songs and 6 sing both. How many sing exactly one of the two?
  26. 26.In a group of 40 children, 18 sing Hindi songs, 25 sing English songs and 8 sing both. How many sing only Hindi songs?
  27. 27.In a group of 37 children, 13 enjoy drawing, 21 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  28. 28.In a group of 49 children, 19 play cricket, 22 play football and 2 play both. How many play neither of the two?
  29. 29.In a group of 30 children, 11 play cricket, 17 play football and 6 play both. How many play exactly one of the two?
  30. 30.In a group of 41 grown-ups, 19 drink tea, 19 drink coffee and 8 drink both. How many drink only coffee?
  31. 31.In a group of 44 grown-ups, 20 drink tea, 24 drink coffee and 12 drink both. How many drink only coffee?
  32. 32.In a group of 32 children, 16 like mangoes, 17 like bananas and 4 like both. How many like only bananas?
  33. 33.In a group of 40 children, 14 like mangoes, 20 like bananas and 4 like both. How many like at least one of the two?
  34. 34.In a group of 41 children, 26 play chess, 16 play carrom and 8 play both. How many play only chess?
  35. 35.In a group of 26 children, 9 play cricket, 6 play football and 3 play both. How many play exactly one of the two?
  36. 36.In a group of 31 children, 20 play cricket, 7 play football and 4 play both. How many play only football?
  37. 37.In a group of 25 children, 14 play chess, 13 play carrom and 5 play both. How many play exactly one of the two?
  38. 38.In a group of 30 children, 11 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 35 grown-ups, 15 drink tea, 12 drink coffee and 3 drink both. How many drink only coffee?
  40. 40.In a group of 46 children, 22 play cricket, 21 play football and 11 play both. How many play neither of the two?

Answer key

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

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