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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 215 · 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 38 children, 11 sing Hindi songs, 18 sing English songs and 5 sing both. How many sing only Hindi songs?
  2. 2.In a group of 35 children, 13 play chess, 21 play carrom and 8 play both. How many play only carrom?
  3. 3.In a group of 48 grown-ups, 21 drink tea, 27 drink coffee and 9 drink both. How many drink neither of the two?
  4. 4.In a group of 29 children, 17 play cricket, 7 play football and 3 play both. How many play only football?
  5. 5.In a group of 35 children, 23 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 39 children, 24 sing Hindi songs, 25 sing English songs and 11 sing both. How many sing exactly one of the two?
  7. 7.In a group of 37 children, 22 play cricket, 9 play football and 4 play both. How many play only cricket?
  8. 8.In a group of 47 children, 14 sing Hindi songs, 26 sing English songs and 7 sing both. How many sing at least one of the two?
  9. 9.In a group of 50 children, 31 sing Hindi songs, 20 sing English songs and 11 sing both. How many sing neither of the two?
  10. 10.In a group of 41 grown-ups, 26 drink tea, 26 drink coffee and 12 drink both. How many drink exactly one of the two?
  11. 11.In a group of 39 children, 23 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  12. 12.In a group of 37 children, 25 like mangoes, 14 like bananas and 5 like both. How many like only mangoes?
  13. 13.In a group of 23 children, 16 play cricket, 15 play football and 9 play both. How many play only cricket?
  14. 14.In a group of 32 children, 18 sing Hindi songs, 24 sing English songs and 12 sing both. How many sing exactly one of the two?
  15. 15.In a group of 50 children, 27 sing Hindi songs, 28 sing English songs and 8 sing both. How many sing only Hindi songs?
  16. 16.In a group of 25 children, 15 play cricket, 12 play football and 5 play both. How many play exactly one of the two?
  17. 17.In a group of 49 children, 24 play cricket, 21 play football and 6 play both. How many play neither of the two?
  18. 18.In a group of 35 children, 22 play cricket, 12 play football and 5 play both. How many play at least one of the two?
  19. 19.In a group of 46 children, 20 play cricket, 28 play football and 11 play both. How many play neither of the two?
  20. 20.In a group of 35 children, 18 play cricket, 18 play football and 5 play both. How many play only football?
  21. 21.In a group of 36 children, 22 play cricket, 15 play football and 9 play both. How many play neither of the two?
  22. 22.In a group of 41 children, 24 sing Hindi songs, 12 sing English songs and 5 sing both. How many sing only English songs?
  23. 23.In a group of 28 children, 22 enjoy drawing, 16 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  24. 24.In a group of 38 grown-ups, 23 drink tea, 14 drink coffee and 3 drink both. How many drink only tea?
  25. 25.In a group of 39 children, 21 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 40 children, 19 sing Hindi songs, 11 sing English songs and 5 sing both. How many sing only English songs?
  27. 27.In a group of 54 children, 25 play chess, 28 play carrom and 10 play both. How many play at least one of the two?
  28. 28.In a group of 31 children, 16 play chess, 24 play carrom and 10 play both. How many play neither of the two?
  29. 29.In a group of 48 children, 20 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 34 children, 11 play cricket, 13 play football and 4 play both. How many play at least one of the two?
  31. 31.In a group of 24 children, 12 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  32. 32.In a group of 43 children, 27 sing Hindi songs, 25 sing English songs and 11 sing both. How many sing neither of the two?
  33. 33.In a group of 37 grown-ups, 14 drink tea, 25 drink coffee and 11 drink both. How many drink only coffee?
  34. 34.In a group of 31 children, 17 play cricket, 19 play football and 12 play both. How many play exactly one of the two?
  35. 35.In a group of 33 children, 25 enjoy drawing, 12 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  36. 36.In a group of 42 children, 12 like mangoes, 24 like bananas and 4 like both. How many like exactly one of the two?
  37. 37.In a group of 41 children, 21 play cricket, 18 play football and 3 play both. How many play only football?
  38. 38.In a group of 44 children, 25 play cricket, 19 play football and 7 play both. How many play exactly one of the two?
  39. 39.In a group of 33 children, 17 like mangoes, 16 like bananas and 2 like both. How many like only mangoes?
  40. 40.In a group of 34 children, 21 play cricket, 15 play football and 9 play both. How many play at least one of the two?

Answer key

  1. 6
  2. 13
  3. 9
  4. 4
  5. 6
  6. 27
  7. 18
  8. 33
  9. 10
  10. 28
  11. 13
  12. 20
  13. 7
  14. 18
  15. 19
  16. 17
  17. 10
  18. 29
  19. 9
  20. 13
  21. 8
  22. 7
  23. 16
  24. 20
  25. 27
  26. 6
  27. 43
  28. 1
  29. 17
  30. 20
  31. 16
  32. 2
  33. 14
  34. 12
  35. 21
  36. 28
  37. 15
  38. 30
  39. 15
  40. 27

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