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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 377 · 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, 24 play cricket, 13 play football and 10 play both. How many play only football?
  2. 2.In a group of 45 children, 18 play cricket, 24 play football and 4 play both. How many play neither of the two?
  3. 3.In a group of 41 children, 23 sing Hindi songs, 26 sing English songs and 10 sing both. How many sing exactly one of the two?
  4. 4.In a group of 50 children, 18 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing only Hindi songs?
  5. 5.In a group of 43 children, 19 play chess, 18 play carrom and 7 play both. How many play only carrom?
  6. 6.In a group of 36 children, 15 play chess, 18 play carrom and 5 play both. How many play exactly one of the two?
  7. 7.In a group of 33 children, 12 like mangoes, 18 like bananas and 9 like both. How many like exactly one of the two?
  8. 8.In a group of 32 children, 13 enjoy drawing, 15 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 49 children, 20 like mangoes, 26 like bananas and 9 like both. How many like only bananas?
  10. 10.In a group of 30 children, 13 play cricket, 11 play football and 2 play both. How many play neither of the two?
  11. 11.In a group of 48 children, 19 like mangoes, 19 like bananas and 5 like both. How many like only bananas?
  12. 12.In a group of 32 children, 10 sing Hindi songs, 21 sing English songs and 6 sing both. How many sing only Hindi songs?
  13. 13.In a group of 21 grown-ups, 12 drink tea, 12 drink coffee and 6 drink both. How many drink only coffee?
  14. 14.In a group of 32 children, 8 sing Hindi songs, 15 sing English songs and 3 sing both. How many sing only English songs?
  15. 15.In a group of 39 children, 15 play cricket, 28 play football and 11 play both. How many play at least one of the two?
  16. 16.In a group of 57 grown-ups, 23 drink tea, 28 drink coffee and 8 drink both. How many drink at least one of the two?
  17. 17.In a group of 42 children, 23 play chess, 20 play carrom and 4 play both. How many play neither of the two?
  18. 18.In a group of 31 children, 16 like mangoes, 15 like bananas and 9 like both. How many like neither of the two?
  19. 19.In a group of 41 grown-ups, 23 drink tea, 11 drink coffee and 3 drink both. How many drink only coffee?
  20. 20.In a group of 45 children, 18 play cricket, 17 play football and 5 play both. How many play at least one of the two?
  21. 21.In a group of 28 children, 8 sing Hindi songs, 20 sing English songs and 3 sing both. How many sing only English songs?
  22. 22.In a group of 28 children, 15 play chess, 7 play carrom and 4 play both. How many play only carrom?
  23. 23.In a group of 46 grown-ups, 15 drink tea, 27 drink coffee and 11 drink both. How many drink exactly one of the two?
  24. 24.In a group of 31 children, 19 play chess, 8 play carrom and 3 play both. How many play only chess?
  25. 25.In a group of 41 children, 23 play cricket, 13 play football and 4 play both. How many play only cricket?
  26. 26.In a group of 31 children, 11 play cricket, 11 play football and 3 play both. How many play exactly one of the two?
  27. 27.In a group of 28 children, 15 like mangoes, 8 like bananas and 3 like both. How many like at least one of the two?
  28. 28.In a group of 34 children, 16 play chess, 14 play carrom and 3 play both. How many play only carrom?
  29. 29.In a group of 40 children, 20 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  30. 30.In a group of 35 children, 14 sing Hindi songs, 30 sing English songs and 11 sing both. How many sing at least one of the two?
  31. 31.In a group of 27 children, 23 enjoy drawing, 12 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  32. 32.In a group of 41 grown-ups, 14 drink tea, 19 drink coffee and 6 drink both. How many drink at least one of the two?
  33. 33.In a group of 28 children, 22 play cricket, 8 play football and 5 play both. How many play only cricket?
  34. 34.In a group of 61 children, 27 play cricket, 32 play football and 12 play both. How many play exactly one of the two?
  35. 35.In a group of 42 children, 21 play cricket, 20 play football and 2 play both. How many play only cricket?
  36. 36.In a group of 40 children, 10 like mangoes, 21 like bananas and 4 like both. How many like only bananas?
  37. 37.In a group of 51 children, 26 play cricket, 20 play football and 10 play both. How many play only cricket?
  38. 38.In a group of 29 children, 13 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 37 children, 21 play cricket, 18 play football and 5 play both. How many play only football?
  40. 40.In a group of 38 children, 14 play cricket, 19 play football and 6 play both. How many play only football?

Answer key

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

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