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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 154 · 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, 19 sing English songs and 3 sing both. How many sing at least one of the two?
  2. 2.In a group of 35 children, 24 sing Hindi songs, 17 sing English songs and 7 sing both. How many sing only Hindi songs?
  3. 3.In a group of 44 children, 26 play cricket, 17 play football and 7 play both. How many play neither of the two?
  4. 4.In a group of 46 children, 22 like mangoes, 32 like bananas and 12 like both. How many like only mangoes?
  5. 5.In a group of 35 children, 10 enjoy drawing, 23 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 39 children, 22 like mangoes, 9 like bananas and 4 like both. How many like only mangoes?
  7. 7.In a group of 41 children, 26 play cricket, 24 play football and 12 play both. How many play at least one of the two?
  8. 8.In a group of 38 children, 23 play cricket, 12 play football and 3 play both. How many play at least one of the two?
  9. 9.In a group of 30 children, 12 play chess, 13 play carrom and 6 play both. How many play exactly one of the two?
  10. 10.In a group of 52 children, 19 sing Hindi songs, 21 sing English songs and 3 sing both. How many sing only Hindi songs?
  11. 11.In a group of 26 children, 14 enjoy drawing, 14 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  12. 12.In a group of 32 grown-ups, 14 drink tea, 13 drink coffee and 4 drink both. How many drink only tea?
  13. 13.In a group of 43 children, 14 play cricket, 22 play football and 6 play both. How many play only cricket?
  14. 14.In a group of 35 grown-ups, 19 drink tea, 15 drink coffee and 3 drink both. How many drink exactly one of the two?
  15. 15.In a group of 36 children, 25 play chess, 15 play carrom and 9 play both. How many play at least one of the two?
  16. 16.In a group of 38 children, 16 like mangoes, 31 like bananas and 11 like both. How many like neither of the two?
  17. 17.In a group of 38 children, 13 play cricket, 24 play football and 7 play both. How many play only cricket?
  18. 18.In a group of 35 children, 15 play chess, 12 play carrom and 7 play both. How many play at least one of the two?
  19. 19.In a group of 36 children, 20 play cricket, 14 play football and 8 play both. How many play only cricket?
  20. 20.In a group of 35 children, 21 enjoy drawing, 13 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 26 grown-ups, 9 drink tea, 20 drink coffee and 6 drink both. How many drink only coffee?
  22. 22.In a group of 41 grown-ups, 13 drink tea, 20 drink coffee and 5 drink both. How many drink at least one of the two?
  23. 23.In a group of 42 grown-ups, 19 drink tea, 18 drink coffee and 5 drink both. How many drink only tea?
  24. 24.In a group of 38 children, 11 sing Hindi songs, 16 sing English songs and 4 sing both. How many sing only Hindi songs?
  25. 25.In a group of 30 children, 16 play chess, 14 play carrom and 9 play both. How many play at least one of the two?
  26. 26.In a group of 35 children, 10 sing Hindi songs, 16 sing English songs and 6 sing both. How many sing exactly one of the two?
  27. 27.In a group of 43 children, 17 like mangoes, 19 like bananas and 6 like both. How many like only bananas?
  28. 28.In a group of 37 children, 19 like mangoes, 7 like bananas and 4 like both. How many like only mangoes?
  29. 29.In a group of 33 children, 18 play chess, 11 play carrom and 7 play both. How many play at least one of the two?
  30. 30.In a group of 41 children, 23 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing neither of the two?
  31. 31.In a group of 53 children, 24 sing Hindi songs, 26 sing English songs and 9 sing both. How many sing at least one of the two?
  32. 32.In a group of 33 children, 23 enjoy drawing, 11 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  33. 33.In a group of 40 children, 28 play chess, 15 play carrom and 9 play both. How many play neither of the two?
  34. 34.In a group of 39 children, 18 play chess, 22 play carrom and 6 play both. How many play only carrom?
  35. 35.In a group of 50 children, 22 enjoy drawing, 21 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  36. 36.In a group of 51 children, 27 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  37. 37.In a group of 41 children, 19 play cricket, 15 play football and 8 play both. How many play only football?
  38. 38.In a group of 38 children, 15 play cricket, 19 play football and 5 play both. How many play only cricket?
  39. 39.In a group of 37 children, 25 play cricket, 19 play football and 12 play both. How many play only cricket?
  40. 40.In a group of 41 children, 23 play chess, 16 play carrom and 10 play both. How many play exactly one of the two?

Answer key

  1. 39
  2. 17
  3. 8
  4. 10
  5. 17
  6. 18
  7. 38
  8. 32
  9. 13
  10. 16
  11. 24
  12. 10
  13. 8
  14. 28
  15. 31
  16. 2
  17. 6
  18. 20
  19. 12
  20. 17
  21. 14
  22. 28
  23. 14
  24. 7
  25. 21
  26. 14
  27. 13
  28. 15
  29. 22
  30. 13
  31. 41
  32. 18
  33. 6
  34. 16
  35. 37
  36. 17
  37. 7
  38. 10
  39. 13
  40. 19

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