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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 501 · 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 42 children, 23 sing Hindi songs, 21 sing English songs and 3 sing both. How many sing only English songs?
  2. 2.In a group of 37 children, 20 play chess, 18 play carrom and 11 play both. How many play only chess?
  3. 3.In a group of 29 grown-ups, 14 drink tea, 17 drink coffee and 7 drink both. How many drink neither of the two?
  4. 4.In a group of 38 children, 20 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 60 children, 28 play cricket, 32 play football and 12 play both. How many play exactly one of the two?
  6. 6.In a group of 39 grown-ups, 10 drink tea, 22 drink coffee and 3 drink both. How many drink at least one of the two?
  7. 7.In a group of 15 children, 10 play chess, 6 play carrom and 2 play both. How many play only chess?
  8. 8.In a group of 35 children, 25 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing only English songs?
  9. 9.In a group of 34 children, 17 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing only Hindi songs?
  10. 10.In a group of 43 children, 22 play cricket, 26 play football and 11 play both. How many play exactly one of the two?
  11. 11.In a group of 43 children, 13 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing neither of the two?
  12. 12.In a group of 33 grown-ups, 15 drink tea, 9 drink coffee and 5 drink both. How many drink neither of the two?
  13. 13.In a group of 36 children, 26 play cricket, 19 play football and 10 play both. How many play at least one of the two?
  14. 14.In a group of 32 children, 21 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 29 children, 15 play chess, 12 play carrom and 7 play both. How many play neither of the two?
  16. 16.In a group of 36 children, 23 like mangoes, 18 like bananas and 6 like both. How many like exactly one of the two?
  17. 17.In a group of 47 children, 22 enjoy drawing, 22 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 44 children, 27 play chess, 22 play carrom and 9 play both. How many play exactly one of the two?
  19. 19.In a group of 41 children, 24 play chess, 25 play carrom and 10 play both. How many play exactly one of the two?
  20. 20.In a group of 42 children, 30 play chess, 20 play carrom and 11 play both. How many play only chess?
  21. 21.In a group of 31 children, 18 like mangoes, 15 like bananas and 10 like both. How many like neither of the two?
  22. 22.In a group of 26 children, 15 sing Hindi songs, 17 sing English songs and 11 sing both. How many sing at least one of the two?
  23. 23.In a group of 26 children, 12 play cricket, 17 play football and 7 play both. How many play only cricket?
  24. 24.In a group of 29 children, 11 play cricket, 19 play football and 6 play both. How many play exactly one of the two?
  25. 25.In a group of 47 children, 22 like mangoes, 26 like bananas and 10 like both. How many like only mangoes?
  26. 26.In a group of 25 children, 14 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  27. 27.In a group of 38 children, 22 play cricket, 13 play football and 3 play both. How many play neither of the two?
  28. 28.In a group of 43 children, 22 like mangoes, 23 like bananas and 5 like both. How many like only mangoes?
  29. 29.In a group of 51 children, 19 enjoy drawing, 23 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  30. 30.In a group of 36 grown-ups, 21 drink tea, 7 drink coffee and 4 drink both. How many drink only tea?
  31. 31.In a group of 53 children, 27 enjoy drawing, 27 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 29 grown-ups, 16 drink tea, 12 drink coffee and 7 drink both. How many drink only coffee?
  33. 33.In a group of 49 children, 16 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing neither of the two?
  34. 34.In a group of 22 children, 9 play cricket, 9 play football and 5 play both. How many play neither of the two?
  35. 35.In a group of 41 children, 23 enjoy drawing, 23 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 38 children, 15 enjoy drawing, 23 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 46 children, 31 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 23 children, 12 like mangoes, 12 like bananas and 8 like both. How many like only mangoes?
  39. 39.In a group of 56 grown-ups, 22 drink tea, 24 drink coffee and 4 drink both. How many drink neither of the two?
  40. 40.In a group of 50 children, 20 play cricket, 26 play football and 10 play both. How many play neither of the two?

Answer key

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

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