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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 371 · 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 40 children, 15 play cricket, 21 play football and 10 play both. How many play only cricket?
  2. 2.In a group of 30 children, 15 like mangoes, 6 like bananas and 2 like both. How many like only mangoes?
  3. 3.In a group of 36 children, 22 like mangoes, 17 like bananas and 11 like both. How many like neither of the two?
  4. 4.In a group of 33 children, 25 play chess, 13 play carrom and 10 play both. How many play only chess?
  5. 5.In a group of 42 children, 22 play cricket, 19 play football and 8 play both. How many play only football?
  6. 6.In a group of 40 children, 22 like mangoes, 17 like bananas and 2 like both. How many like only bananas?
  7. 7.In a group of 42 children, 15 sing Hindi songs, 24 sing English songs and 11 sing both. How many sing only Hindi songs?
  8. 8.In a group of 45 grown-ups, 17 drink tea, 23 drink coffee and 7 drink both. How many drink only tea?
  9. 9.In a group of 50 children, 24 play cricket, 20 play football and 8 play both. How many play neither of the two?
  10. 10.In a group of 31 children, 8 enjoy drawing, 24 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 30 children, 18 play chess, 22 play carrom and 12 play both. How many play exactly one of the two?
  12. 12.In a group of 45 children, 18 enjoy drawing, 20 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  13. 13.In a group of 25 children, 15 like mangoes, 20 like bananas and 12 like both. How many like exactly one of the two?
  14. 14.In a group of 15 children, 7 like mangoes, 6 like bananas and 3 like both. How many like only bananas?
  15. 15.In a group of 43 children, 24 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing at least one of the two?
  16. 16.In a group of 44 children, 27 like mangoes, 15 like bananas and 11 like both. How many like at least one of the two?
  17. 17.In a group of 44 children, 27 play cricket, 12 play football and 7 play both. How many play neither of the two?
  18. 18.In a group of 49 children, 22 sing Hindi songs, 17 sing English songs and 5 sing both. How many sing exactly one of the two?
  19. 19.In a group of 26 grown-ups, 10 drink tea, 18 drink coffee and 7 drink both. How many drink exactly one of the two?
  20. 20.In a group of 30 children, 20 play chess, 20 play carrom and 11 play both. How many play exactly one of the two?
  21. 21.In a group of 54 children, 28 play cricket, 22 play football and 9 play both. How many play only cricket?
  22. 22.In a group of 23 grown-ups, 8 drink tea, 6 drink coffee and 2 drink both. How many drink exactly one of the two?
  23. 23.In a group of 37 children, 19 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing at least one of the two?
  24. 24.In a group of 39 children, 22 like mangoes, 18 like bananas and 3 like both. How many like only bananas?
  25. 25.In a group of 48 children, 25 play cricket, 30 play football and 10 play both. How many play only football?
  26. 26.In a group of 28 children, 18 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing at least one of the two?
  27. 27.In a group of 35 children, 14 play chess, 21 play carrom and 11 play both. How many play only carrom?
  28. 28.In a group of 41 children, 18 play cricket, 21 play football and 10 play both. How many play only football?
  29. 29.In a group of 30 children, 10 like mangoes, 25 like bananas and 7 like both. How many like only mangoes?
  30. 30.In a group of 34 children, 15 enjoy drawing, 26 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  31. 31.In a group of 42 grown-ups, 24 drink tea, 23 drink coffee and 6 drink both. How many drink exactly one of the two?
  32. 32.In a group of 36 children, 15 play cricket, 22 play football and 11 play both. How many play only cricket?
  33. 33.In a group of 35 children, 22 play chess, 17 play carrom and 5 play both. How many play only chess?
  34. 34.In a group of 40 children, 23 play cricket, 12 play football and 4 play both. How many play at least one of the two?
  35. 35.In a group of 25 children, 16 sing Hindi songs, 17 sing English songs and 10 sing both. How many sing neither of the two?
  36. 36.In a group of 30 children, 6 play cricket, 16 play football and 2 play both. How many play exactly one of the two?
  37. 37.In a group of 35 children, 26 play cricket, 16 play football and 10 play both. How many play only cricket?
  38. 38.In a group of 38 grown-ups, 22 drink tea, 7 drink coffee and 4 drink both. How many drink only coffee?
  39. 39.In a group of 50 children, 29 play chess, 25 play carrom and 9 play both. How many play exactly one of the two?
  40. 40.In a group of 34 grown-ups, 22 drink tea, 18 drink coffee and 10 drink both. How many drink only tea?

Answer key

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

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