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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 101 · 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 34 children, 22 like mangoes, 11 like bananas and 8 like both. How many like only bananas?
  2. 2.In a group of 43 children, 21 play cricket, 27 play football and 9 play both. How many play exactly one of the two?
  3. 3.In a group of 43 children, 14 sing Hindi songs, 24 sing English songs and 8 sing both. How many sing at least one of the two?
  4. 4.In a group of 39 children, 12 sing Hindi songs, 25 sing English songs and 9 sing both. How many sing neither of the two?
  5. 5.In a group of 48 children, 21 like mangoes, 20 like bananas and 2 like both. How many like only bananas?
  6. 6.In a group of 41 children, 8 play cricket, 23 play football and 4 play both. How many play at least one of the two?
  7. 7.In a group of 27 children, 7 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing neither of the two?
  8. 8.In a group of 50 children, 29 play chess, 29 play carrom and 12 play both. How many play exactly one of the two?
  9. 9.In a group of 44 children, 27 like mangoes, 21 like bananas and 9 like both. How many like only mangoes?
  10. 10.In a group of 26 grown-ups, 12 drink tea, 9 drink coffee and 3 drink both. How many drink exactly one of the two?
  11. 11.In a group of 31 children, 17 enjoy drawing, 12 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  12. 12.In a group of 55 grown-ups, 27 drink tea, 26 drink coffee and 10 drink both. How many drink exactly one of the two?
  13. 13.In a group of 42 children, 19 play cricket, 27 play football and 10 play both. How many play only cricket?
  14. 14.In a group of 21 children, 14 like mangoes, 15 like bananas and 9 like both. How many like at least one of the two?
  15. 15.In a group of 32 children, 25 enjoy drawing, 12 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  16. 16.In a group of 40 grown-ups, 15 drink tea, 20 drink coffee and 6 drink both. How many drink at least one of the two?
  17. 17.In a group of 38 grown-ups, 14 drink tea, 19 drink coffee and 9 drink both. How many drink at least one of the two?
  18. 18.In a group of 16 children, 11 like mangoes, 8 like bananas and 5 like both. How many like only bananas?
  19. 19.In a group of 28 children, 9 enjoy drawing, 21 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 40 children, 14 play cricket, 22 play football and 8 play both. How many play neither of the two?
  21. 21.In a group of 22 children, 17 play cricket, 12 play football and 8 play both. How many play at least one of the two?
  22. 22.In a group of 32 children, 17 sing Hindi songs, 25 sing English songs and 11 sing both. How many sing only English songs?
  23. 23.In a group of 37 children, 20 sing Hindi songs, 8 sing English songs and 2 sing both. How many sing at least one of the two?
  24. 24.In a group of 27 children, 11 play chess, 17 play carrom and 5 play both. How many play exactly one of the two?
  25. 25.In a group of 35 children, 21 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  26. 26.In a group of 37 children, 21 sing Hindi songs, 12 sing English songs and 5 sing both. How many sing neither of the two?
  27. 27.In a group of 42 children, 20 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  28. 28.In a group of 19 grown-ups, 5 drink tea, 6 drink coffee and 2 drink both. How many drink only tea?
  29. 29.In a group of 37 children, 17 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing only English songs?
  30. 30.In a group of 35 grown-ups, 17 drink tea, 23 drink coffee and 9 drink both. How many drink neither of the two?
  31. 31.In a group of 40 children, 19 enjoy drawing, 15 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  32. 32.In a group of 36 children, 27 enjoy drawing, 15 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 32 children, 17 play cricket, 18 play football and 7 play both. How many play only cricket?
  34. 34.In a group of 57 children, 26 play chess, 28 play carrom and 9 play both. How many play neither of the two?
  35. 35.In a group of 56 children, 25 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 48 children, 25 play chess, 26 play carrom and 8 play both. How many play only chess?
  37. 37.In a group of 26 children, 20 play cricket, 11 play football and 7 play both. How many play only cricket?
  38. 38.In a group of 45 children, 22 sing Hindi songs, 16 sing English songs and 3 sing both. How many sing neither of the two?
  39. 39.In a group of 15 children, 6 play cricket, 9 play football and 2 play both. How many play neither of the two?
  40. 40.In a group of 28 children, 17 sing Hindi songs, 17 sing English songs and 11 sing both. How many sing at least one of the two?

Answer key

  1. 3
  2. 30
  3. 30
  4. 11
  5. 18
  6. 27
  7. 12
  8. 34
  9. 18
  10. 15
  11. 8
  12. 33
  13. 9
  14. 20
  15. 19
  16. 29
  17. 24
  18. 3
  19. 5
  20. 12
  21. 21
  22. 14
  23. 26
  24. 18
  25. 9
  26. 9
  27. 10
  28. 3
  29. 5
  30. 4
  31. 17
  32. 35
  33. 10
  34. 12
  35. 44
  36. 17
  37. 13
  38. 10
  39. 2
  40. 23

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