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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 472 · 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 47 children, 15 sing Hindi songs, 26 sing English songs and 6 sing both. How many sing exactly one of the two?
  2. 2.In a group of 53 children, 28 sing Hindi songs, 26 sing English songs and 10 sing both. How many sing only English songs?
  3. 3.In a group of 41 children, 10 enjoy drawing, 23 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 37 children, 13 like mangoes, 14 like bananas and 3 like both. How many like only mangoes?
  5. 5.In a group of 13 children, 7 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing only Hindi songs?
  6. 6.In a group of 48 children, 28 enjoy drawing, 24 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  7. 7.In a group of 24 children, 11 play chess, 15 play carrom and 4 play both. How many play at least one of the two?
  8. 8.In a group of 26 grown-ups, 14 drink tea, 12 drink coffee and 9 drink both. How many drink only tea?
  9. 9.In a group of 22 children, 16 play cricket, 11 play football and 6 play both. How many play at least one of the two?
  10. 10.In a group of 20 children, 12 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing only Hindi songs?
  11. 11.In a group of 39 children, 17 play cricket, 27 play football and 8 play both. How many play only cricket?
  12. 12.In a group of 44 children, 17 play cricket, 21 play football and 2 play both. How many play at least one of the two?
  13. 13.In a group of 48 children, 29 enjoy drawing, 26 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  14. 14.In a group of 41 children, 12 play cricket, 21 play football and 7 play both. How many play neither of the two?
  15. 15.In a group of 36 children, 17 play chess, 7 play carrom and 2 play both. How many play only chess?
  16. 16.In a group of 39 children, 23 like mangoes, 8 like bananas and 5 like both. How many like neither of the two?
  17. 17.In a group of 19 children, 10 sing Hindi songs, 10 sing English songs and 5 sing both. How many sing only Hindi songs?
  18. 18.In a group of 31 children, 12 play cricket, 13 play football and 8 play both. How many play exactly one of the two?
  19. 19.In a group of 32 children, 16 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  20. 20.In a group of 49 children, 26 enjoy drawing, 30 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  21. 21.In a group of 33 children, 15 play cricket, 23 play football and 9 play both. How many play only football?
  22. 22.In a group of 46 grown-ups, 24 drink tea, 17 drink coffee and 10 drink both. How many drink neither of the two?
  23. 23.In a group of 24 children, 7 play chess, 7 play carrom and 3 play both. How many play exactly one of the two?
  24. 24.In a group of 28 children, 20 play chess, 18 play carrom and 11 play both. How many play exactly one of the two?
  25. 25.In a group of 32 grown-ups, 8 drink tea, 18 drink coffee and 5 drink both. How many drink only tea?
  26. 26.In a group of 34 children, 15 play cricket, 26 play football and 11 play both. How many play only football?
  27. 27.In a group of 46 children, 15 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  28. 28.In a group of 47 children, 17 play chess, 19 play carrom and 3 play both. How many play neither of the two?
  29. 29.In a group of 41 children, 16 sing Hindi songs, 19 sing English songs and 9 sing both. How many sing exactly one of the two?
  30. 30.In a group of 39 grown-ups, 11 drink tea, 17 drink coffee and 3 drink both. How many drink exactly one of the two?
  31. 31.In a group of 37 children, 26 sing Hindi songs, 15 sing English songs and 8 sing both. How many sing neither of the two?
  32. 32.In a group of 37 grown-ups, 11 drink tea, 23 drink coffee and 4 drink both. How many drink exactly one of the two?
  33. 33.In a group of 50 children, 20 enjoy drawing, 25 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 23 children, 7 sing Hindi songs, 7 sing English songs and 2 sing both. How many sing at least one of the two?
  35. 35.In a group of 39 children, 16 play chess, 14 play carrom and 4 play both. How many play exactly one of the two?
  36. 36.In a group of 28 grown-ups, 19 drink tea, 6 drink coffee and 2 drink both. How many drink only tea?
  37. 37.In a group of 40 children, 21 play cricket, 15 play football and 6 play both. How many play only cricket?
  38. 38.In a group of 43 children, 28 play chess, 18 play carrom and 12 play both. How many play only chess?
  39. 39.In a group of 36 children, 17 play cricket, 23 play football and 6 play both. How many play only football?
  40. 40.In a group of 22 children, 9 enjoy drawing, 11 enjoy dancing and 5 enjoy both. How many enjoy only dancing?

Answer key

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

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