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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 601 · 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 43 children, 23 sing Hindi songs, 18 sing English songs and 12 sing both. How many sing only Hindi songs?
  2. 2.In a group of 33 children, 17 play chess, 19 play carrom and 10 play both. How many play at least one of the two?
  3. 3.In a group of 19 children, 14 enjoy drawing, 13 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 41 children, 16 play chess, 25 play carrom and 8 play both. How many play neither of the two?
  5. 5.In a group of 32 children, 16 sing Hindi songs, 14 sing English songs and 7 sing both. How many sing at least one of the two?
  6. 6.In a group of 42 children, 21 play cricket, 29 play football and 12 play both. How many play at least one of the two?
  7. 7.In a group of 47 children, 17 like mangoes, 22 like bananas and 4 like both. How many like neither of the two?
  8. 8.In a group of 34 grown-ups, 6 drink tea, 18 drink coffee and 2 drink both. How many drink only coffee?
  9. 9.In a group of 53 children, 27 play chess, 32 play carrom and 12 play both. How many play only chess?
  10. 10.In a group of 26 children, 6 play cricket, 8 play football and 3 play both. How many play at least one of the two?
  11. 11.In a group of 43 children, 26 play chess, 13 play carrom and 6 play both. How many play exactly one of the two?
  12. 12.In a group of 48 children, 24 like mangoes, 21 like bananas and 12 like both. How many like only bananas?
  13. 13.In a group of 38 grown-ups, 20 drink tea, 9 drink coffee and 6 drink both. How many drink only coffee?
  14. 14.In a group of 33 children, 19 sing Hindi songs, 18 sing English songs and 5 sing both. How many sing at least one of the two?
  15. 15.In a group of 52 children, 28 sing Hindi songs, 22 sing English songs and 10 sing both. How many sing only Hindi songs?
  16. 16.In a group of 26 children, 16 enjoy drawing, 13 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  17. 17.In a group of 34 children, 14 play chess, 10 play carrom and 2 play both. How many play only chess?
  18. 18.In a group of 41 children, 13 play chess, 24 play carrom and 5 play both. How many play exactly one of the two?
  19. 19.In a group of 32 children, 11 sing Hindi songs, 15 sing English songs and 4 sing both. How many sing neither of the two?
  20. 20.In a group of 52 children, 26 enjoy drawing, 25 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  21. 21.In a group of 50 children, 23 sing Hindi songs, 24 sing English songs and 5 sing both. How many sing at least one of the two?
  22. 22.In a group of 57 grown-ups, 26 drink tea, 26 drink coffee and 8 drink both. How many drink neither of the two?
  23. 23.In a group of 34 children, 28 play cricket, 11 play football and 8 play both. How many play only cricket?
  24. 24.In a group of 31 children, 15 play chess, 9 play carrom and 3 play both. How many play only chess?
  25. 25.In a group of 25 children, 9 play chess, 15 play carrom and 2 play both. How many play neither of the two?
  26. 26.In a group of 47 children, 20 play cricket, 23 play football and 3 play both. How many play only cricket?
  27. 27.In a group of 51 children, 30 play cricket, 26 play football and 11 play both. How many play at least one of the two?
  28. 28.In a group of 32 children, 15 enjoy drawing, 7 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  29. 29.In a group of 26 children, 21 play cricket, 12 play football and 8 play both. How many play exactly one of the two?
  30. 30.In a group of 30 children, 17 play cricket, 13 play football and 8 play both. How many play only cricket?
  31. 31.In a group of 31 children, 18 play chess, 7 play carrom and 4 play both. How many play exactly one of the two?
  32. 32.In a group of 25 children, 10 like mangoes, 16 like bananas and 5 like both. How many like at least one of the two?
  33. 33.In a group of 40 children, 16 play chess, 21 play carrom and 4 play both. How many play only carrom?
  34. 34.In a group of 31 children, 16 play cricket, 17 play football and 12 play both. How many play neither of the two?
  35. 35.In a group of 36 children, 9 like mangoes, 18 like bananas and 4 like both. How many like neither of the two?
  36. 36.In a group of 32 children, 17 play chess, 16 play carrom and 3 play both. How many play neither of the two?
  37. 37.In a group of 34 children, 25 like mangoes, 16 like bananas and 8 like both. How many like only bananas?
  38. 38.In a group of 37 children, 12 play cricket, 21 play football and 7 play both. How many play only football?
  39. 39.In a group of 17 children, 12 sing Hindi songs, 9 sing English songs and 5 sing both. How many sing only Hindi songs?
  40. 40.In a group of 39 children, 21 play cricket, 10 play football and 5 play both. How many play at least one of the two?

Answer key

  1. 11
  2. 26
  3. 4
  4. 8
  5. 23
  6. 38
  7. 12
  8. 16
  9. 15
  10. 11
  11. 27
  12. 9
  13. 3
  14. 32
  15. 18
  16. 19
  17. 12
  18. 27
  19. 10
  20. 39
  21. 42
  22. 13
  23. 20
  24. 12
  25. 3
  26. 17
  27. 45
  28. 16
  29. 17
  30. 9
  31. 17
  32. 21
  33. 17
  34. 10
  35. 13
  36. 2
  37. 8
  38. 14
  39. 7
  40. 26

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