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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 659 · 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 46 grown-ups, 25 drink tea, 15 drink coffee and 8 drink both. How many drink at least one of the two?
  2. 2.In a group of 43 grown-ups, 20 drink tea, 30 drink coffee and 10 drink both. How many drink only tea?
  3. 3.In a group of 23 children, 15 sing Hindi songs, 10 sing English songs and 6 sing both. How many sing exactly one of the two?
  4. 4.In a group of 51 children, 27 like mangoes, 24 like bananas and 11 like both. How many like only bananas?
  5. 5.In a group of 38 children, 25 enjoy drawing, 20 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 40 children, 16 play chess, 25 play carrom and 12 play both. How many play at least one of the two?
  7. 7.In a group of 52 children, 22 play chess, 24 play carrom and 9 play both. How many play at least one of the two?
  8. 8.In a group of 32 children, 6 like mangoes, 20 like bananas and 3 like both. How many like only mangoes?
  9. 9.In a group of 50 children, 29 enjoy drawing, 17 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 31 children, 10 play chess, 10 play carrom and 3 play both. How many play only chess?
  11. 11.In a group of 22 children, 12 sing Hindi songs, 9 sing English songs and 2 sing both. How many sing at least one of the two?
  12. 12.In a group of 35 children, 9 sing Hindi songs, 21 sing English songs and 3 sing both. How many sing exactly one of the two?
  13. 13.In a group of 40 grown-ups, 11 drink tea, 19 drink coffee and 2 drink both. How many drink only tea?
  14. 14.In a group of 36 children, 13 play cricket, 22 play football and 8 play both. How many play only cricket?
  15. 15.In a group of 35 children, 16 play cricket, 26 play football and 9 play both. How many play exactly one of the two?
  16. 16.In a group of 39 grown-ups, 26 drink tea, 14 drink coffee and 11 drink both. How many drink neither of the two?
  17. 17.In a group of 20 children, 6 sing Hindi songs, 13 sing English songs and 3 sing both. How many sing at least one of the two?
  18. 18.In a group of 44 children, 19 play cricket, 18 play football and 3 play both. How many play neither of the two?
  19. 19.In a group of 30 children, 15 play cricket, 14 play football and 10 play both. How many play at least one of the two?
  20. 20.In a group of 64 children, 31 play chess, 30 play carrom and 12 play both. How many play at least one of the two?
  21. 21.In a group of 32 children, 15 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing only Hindi songs?
  22. 22.In a group of 32 children, 10 play chess, 16 play carrom and 3 play both. How many play at least one of the two?
  23. 23.In a group of 26 children, 16 play cricket, 6 play football and 2 play both. How many play at least one of the two?
  24. 24.In a group of 33 children, 18 like mangoes, 16 like bananas and 3 like both. How many like only bananas?
  25. 25.In a group of 47 grown-ups, 17 drink tea, 22 drink coffee and 5 drink both. How many drink neither of the two?
  26. 26.In a group of 49 children, 17 play cricket, 30 play football and 12 play both. How many play exactly one of the two?
  27. 27.In a group of 26 children, 14 play chess, 13 play carrom and 7 play both. How many play neither of the two?
  28. 28.In a group of 43 children, 14 play cricket, 21 play football and 5 play both. How many play neither of the two?
  29. 29.In a group of 39 children, 9 like mangoes, 23 like bananas and 3 like both. How many like exactly one of the two?
  30. 30.In a group of 28 children, 15 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  31. 31.In a group of 30 children, 23 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing at least one of the two?
  32. 32.In a group of 45 children, 23 play cricket, 24 play football and 10 play both. How many play only cricket?
  33. 33.In a group of 36 grown-ups, 13 drink tea, 14 drink coffee and 5 drink both. How many drink neither of the two?
  34. 34.In a group of 26 children, 15 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing only English songs?
  35. 35.In a group of 28 children, 18 enjoy drawing, 17 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  36. 36.In a group of 33 children, 19 play cricket, 17 play football and 8 play both. How many play exactly one of the two?
  37. 37.In a group of 25 children, 10 enjoy drawing, 19 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 33 children, 14 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 41 children, 13 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing only Hindi songs?
  40. 40.In a group of 51 children, 25 play cricket, 22 play football and 11 play both. How many play at least one of the two?

Answer key

  1. 32
  2. 10
  3. 13
  4. 13
  5. 11
  6. 29
  7. 37
  8. 3
  9. 8
  10. 7
  11. 19
  12. 24
  13. 9
  14. 5
  15. 24
  16. 10
  17. 16
  18. 10
  19. 19
  20. 49
  21. 11
  22. 23
  23. 20
  24. 13
  25. 13
  26. 23
  27. 6
  28. 13
  29. 26
  30. 21
  31. 28
  32. 13
  33. 14
  34. 7
  35. 9
  36. 20
  37. 4
  38. 9
  39. 9
  40. 36

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