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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 463 · 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 25 children, 14 like mangoes, 14 like bananas and 4 like both. How many like only mangoes?
  2. 2.In a group of 26 children, 13 play cricket, 12 play football and 8 play both. How many play exactly one of the two?
  3. 3.In a group of 34 children, 21 like mangoes, 10 like bananas and 7 like both. How many like only bananas?
  4. 4.In a group of 31 children, 20 play cricket, 12 play football and 9 play both. How many play neither of the two?
  5. 5.In a group of 33 children, 24 enjoy drawing, 11 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  6. 6.In a group of 41 children, 17 play chess, 15 play carrom and 2 play both. How many play neither of the two?
  7. 7.In a group of 30 children, 19 play chess, 13 play carrom and 10 play both. How many play exactly one of the two?
  8. 8.In a group of 41 children, 16 like mangoes, 13 like bananas and 2 like both. How many like at least one of the two?
  9. 9.In a group of 28 children, 20 like mangoes, 10 like bananas and 7 like both. How many like only mangoes?
  10. 10.In a group of 39 grown-ups, 19 drink tea, 24 drink coffee and 8 drink both. How many drink neither of the two?
  11. 11.In a group of 29 children, 15 play cricket, 10 play football and 6 play both. How many play exactly one of the two?
  12. 12.In a group of 46 children, 20 like mangoes, 24 like bananas and 4 like both. How many like at least one of the two?
  13. 13.In a group of 28 children, 10 enjoy drawing, 11 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  14. 14.In a group of 40 children, 12 play cricket, 27 play football and 9 play both. How many play exactly one of the two?
  15. 15.In a group of 53 grown-ups, 25 drink tea, 23 drink coffee and 7 drink both. How many drink at least one of the two?
  16. 16.In a group of 37 children, 19 like mangoes, 19 like bananas and 9 like both. How many like at least one of the two?
  17. 17.In a group of 44 children, 15 play chess, 19 play carrom and 4 play both. How many play exactly one of the two?
  18. 18.In a group of 42 children, 15 like mangoes, 29 like bananas and 10 like both. How many like only bananas?
  19. 19.In a group of 42 children, 30 play cricket, 17 play football and 12 play both. How many play exactly one of the two?
  20. 20.In a group of 35 children, 14 sing Hindi songs, 18 sing English songs and 8 sing both. How many sing at least one of the two?
  21. 21.In a group of 42 children, 14 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing only Hindi songs?
  22. 22.In a group of 23 children, 9 sing Hindi songs, 8 sing English songs and 2 sing both. How many sing at least one of the two?
  23. 23.In a group of 47 grown-ups, 26 drink tea, 30 drink coffee and 11 drink both. How many drink only coffee?
  24. 24.In a group of 21 grown-ups, 9 drink tea, 11 drink coffee and 3 drink both. How many drink only tea?
  25. 25.In a group of 41 children, 23 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  26. 26.In a group of 29 children, 14 sing Hindi songs, 15 sing English songs and 5 sing both. How many sing at least one of the two?
  27. 27.In a group of 26 children, 8 play chess, 18 play carrom and 2 play both. How many play neither of the two?
  28. 28.In a group of 38 children, 21 like mangoes, 24 like bananas and 9 like both. How many like only mangoes?
  29. 29.In a group of 42 children, 20 play cricket, 23 play football and 3 play both. How many play at least one of the two?
  30. 30.In a group of 51 grown-ups, 26 drink tea, 23 drink coffee and 7 drink both. How many drink only coffee?
  31. 31.In a group of 34 children, 13 enjoy drawing, 22 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  32. 32.In a group of 31 children, 24 enjoy drawing, 9 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 38 children, 19 sing Hindi songs, 20 sing English songs and 3 sing both. How many sing only Hindi songs?
  34. 34.In a group of 35 children, 14 like mangoes, 22 like bananas and 3 like both. How many like only mangoes?
  35. 35.In a group of 40 grown-ups, 8 drink tea, 22 drink coffee and 5 drink both. How many drink only coffee?
  36. 36.In a group of 36 children, 17 play chess, 20 play carrom and 12 play both. How many play neither of the two?
  37. 37.In a group of 38 children, 16 enjoy drawing, 26 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  38. 38.In a group of 37 children, 24 enjoy drawing, 15 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 22 children, 16 play chess, 5 play carrom and 2 play both. How many play only chess?
  40. 40.In a group of 30 children, 7 play cricket, 22 play football and 4 play both. How many play at least one of the two?

Answer key

  1. 10
  2. 9
  3. 3
  4. 8
  5. 20
  6. 11
  7. 12
  8. 27
  9. 13
  10. 4
  11. 13
  12. 40
  13. 5
  14. 21
  15. 41
  16. 29
  17. 26
  18. 19
  19. 23
  20. 24
  21. 7
  22. 15
  23. 19
  24. 6
  25. 34
  26. 24
  27. 2
  28. 12
  29. 40
  30. 16
  31. 30
  32. 28
  33. 16
  34. 11
  35. 17
  36. 11
  37. 6
  38. 13
  39. 14
  40. 25

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