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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 320 · 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 36 children, 18 like mangoes, 14 like bananas and 11 like both. How many like only bananas?
  2. 2.In a group of 35 children, 14 enjoy drawing, 29 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 48 children, 19 like mangoes, 22 like bananas and 5 like both. How many like only bananas?
  4. 4.In a group of 18 children, 9 like mangoes, 8 like bananas and 3 like both. How many like at least one of the two?
  5. 5.In a group of 30 children, 16 play cricket, 6 play football and 2 play both. How many play exactly one of the two?
  6. 6.In a group of 33 grown-ups, 22 drink tea, 7 drink coffee and 4 drink both. How many drink exactly one of the two?
  7. 7.In a group of 41 children, 25 play cricket, 21 play football and 9 play both. How many play only cricket?
  8. 8.In a group of 33 children, 24 enjoy drawing, 15 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  9. 9.In a group of 45 children, 16 play cricket, 19 play football and 4 play both. How many play only cricket?
  10. 10.In a group of 42 children, 24 play cricket, 11 play football and 7 play both. How many play only cricket?
  11. 11.In a group of 54 children, 22 like mangoes, 29 like bananas and 12 like both. How many like exactly one of the two?
  12. 12.In a group of 37 grown-ups, 22 drink tea, 14 drink coffee and 10 drink both. How many drink at least one of the two?
  13. 13.In a group of 37 children, 24 sing Hindi songs, 12 sing English songs and 4 sing both. How many sing exactly one of the two?
  14. 14.In a group of 41 children, 19 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  15. 15.In a group of 38 children, 14 play cricket, 18 play football and 3 play both. How many play at least one of the two?
  16. 16.In a group of 23 grown-ups, 12 drink tea, 12 drink coffee and 9 drink both. How many drink only coffee?
  17. 17.In a group of 24 children, 12 play cricket, 6 play football and 2 play both. How many play neither of the two?
  18. 18.In a group of 50 children, 22 like mangoes, 18 like bananas and 4 like both. How many like only bananas?
  19. 19.In a group of 31 children, 13 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  20. 20.In a group of 59 children, 29 play cricket, 26 play football and 11 play both. How many play only cricket?
  21. 21.In a group of 46 grown-ups, 24 drink tea, 17 drink coffee and 4 drink both. How many drink only tea?
  22. 22.In a group of 39 children, 29 sing Hindi songs, 16 sing English songs and 9 sing both. How many sing only English songs?
  23. 23.In a group of 57 children, 22 sing Hindi songs, 28 sing English songs and 8 sing both. How many sing only English songs?
  24. 24.In a group of 23 children, 8 like mangoes, 14 like bananas and 4 like both. How many like only mangoes?
  25. 25.In a group of 38 children, 22 enjoy drawing, 16 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 26 grown-ups, 10 drink tea, 13 drink coffee and 4 drink both. How many drink neither of the two?
  27. 27.In a group of 42 children, 15 play cricket, 19 play football and 4 play both. How many play only football?
  28. 28.In a group of 44 children, 19 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  29. 29.In a group of 16 children, 9 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing only English songs?
  30. 30.In a group of 37 children, 26 play chess, 16 play carrom and 7 play both. How many play only chess?
  31. 31.In a group of 60 children, 28 play cricket, 30 play football and 10 play both. How many play exactly one of the two?
  32. 32.In a group of 31 children, 14 enjoy drawing, 7 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  33. 33.In a group of 34 children, 16 like mangoes, 14 like bananas and 5 like both. How many like exactly one of the two?
  34. 34.In a group of 33 children, 24 play cricket, 10 play football and 4 play both. How many play at least one of the two?
  35. 35.In a group of 35 children, 14 play chess, 12 play carrom and 4 play both. How many play only carrom?
  36. 36.In a group of 41 children, 29 like mangoes, 18 like bananas and 9 like both. How many like only bananas?
  37. 37.In a group of 49 children, 28 play cricket, 26 play football and 12 play both. How many play neither of the two?
  38. 38.In a group of 40 children, 22 play cricket, 24 play football and 7 play both. How many play only football?
  39. 39.In a group of 49 children, 28 play cricket, 29 play football and 9 play both. How many play only football?
  40. 40.In a group of 40 children, 11 play chess, 21 play carrom and 3 play both. How many play only chess?

Answer key

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

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