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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 469 · 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 44 children, 21 play chess, 14 play carrom and 2 play both. How many play exactly one of the two?
  2. 2.In a group of 42 children, 18 play chess, 22 play carrom and 4 play both. How many play only carrom?
  3. 3.In a group of 40 children, 14 like mangoes, 22 like bananas and 8 like both. How many like only bananas?
  4. 4.In a group of 38 children, 25 play cricket, 17 play football and 9 play both. How many play neither of the two?
  5. 5.In a group of 45 children, 18 play chess, 20 play carrom and 4 play both. How many play at least one of the two?
  6. 6.In a group of 29 children, 12 like mangoes, 19 like bananas and 7 like both. How many like only bananas?
  7. 7.In a group of 17 children, 9 enjoy drawing, 11 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  8. 8.In a group of 38 children, 18 sing Hindi songs, 20 sing English songs and 4 sing both. How many sing exactly one of the two?
  9. 9.In a group of 50 children, 31 like mangoes, 18 like bananas and 11 like both. How many like only mangoes?
  10. 10.In a group of 56 children, 21 sing Hindi songs, 23 sing English songs and 3 sing both. How many sing only Hindi songs?
  11. 11.In a group of 39 children, 18 play cricket, 11 play football and 3 play both. How many play only cricket?
  12. 12.In a group of 48 children, 18 play chess, 23 play carrom and 7 play both. How many play at least one of the two?
  13. 13.In a group of 48 children, 25 play cricket, 24 play football and 11 play both. How many play only football?
  14. 14.In a group of 26 children, 16 sing Hindi songs, 14 sing English songs and 6 sing both. How many sing only Hindi songs?
  15. 15.In a group of 49 grown-ups, 17 drink tea, 21 drink coffee and 4 drink both. How many drink neither of the two?
  16. 16.In a group of 53 children, 23 play chess, 24 play carrom and 6 play both. How many play exactly one of the two?
  17. 17.In a group of 40 children, 31 play chess, 14 play carrom and 11 play both. How many play at least one of the two?
  18. 18.In a group of 27 grown-ups, 18 drink tea, 14 drink coffee and 7 drink both. How many drink at least one of the two?
  19. 19.In a group of 44 children, 14 sing Hindi songs, 20 sing English songs and 4 sing both. How many sing only Hindi songs?
  20. 20.In a group of 27 children, 15 like mangoes, 20 like bananas and 9 like both. How many like only mangoes?
  21. 21.In a group of 32 children, 23 play chess, 7 play carrom and 4 play both. How many play exactly one of the two?
  22. 22.In a group of 34 children, 22 play chess, 15 play carrom and 5 play both. How many play only carrom?
  23. 23.In a group of 34 children, 27 sing Hindi songs, 16 sing English songs and 11 sing both. How many sing only English songs?
  24. 24.In a group of 55 grown-ups, 22 drink tea, 22 drink coffee and 4 drink both. How many drink only tea?
  25. 25.In a group of 40 grown-ups, 26 drink tea, 20 drink coffee and 10 drink both. How many drink exactly one of the two?
  26. 26.In a group of 28 children, 19 play cricket, 11 play football and 4 play both. How many play at least one of the two?
  27. 27.In a group of 51 children, 18 like mangoes, 23 like bananas and 3 like both. How many like neither of the two?
  28. 28.In a group of 52 children, 27 play cricket, 28 play football and 9 play both. How many play exactly one of the two?
  29. 29.In a group of 36 children, 20 play chess, 12 play carrom and 9 play both. How many play only chess?
  30. 30.In a group of 33 children, 12 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing only Hindi songs?
  31. 31.In a group of 49 children, 26 play cricket, 19 play football and 11 play both. How many play only football?
  32. 32.In a group of 38 children, 14 enjoy drawing, 26 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  33. 33.In a group of 38 children, 10 like mangoes, 18 like bananas and 3 like both. How many like only mangoes?
  34. 34.In a group of 39 grown-ups, 19 drink tea, 9 drink coffee and 2 drink both. How many drink only coffee?
  35. 35.In a group of 42 children, 30 play cricket, 15 play football and 11 play both. How many play neither of the two?
  36. 36.In a group of 35 children, 20 sing Hindi songs, 19 sing English songs and 8 sing both. How many sing only Hindi songs?
  37. 37.In a group of 25 children, 13 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  38. 38.In a group of 24 children, 13 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  39. 39.In a group of 45 children, 27 play cricket, 16 play football and 11 play both. How many play only cricket?
  40. 40.In a group of 17 grown-ups, 10 drink tea, 6 drink coffee and 3 drink both. How many drink exactly one of the two?

Answer key

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

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