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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 506 · 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 49 grown-ups, 25 drink tea, 16 drink coffee and 6 drink both. How many drink only tea?
  2. 2.In a group of 39 children, 17 play cricket, 18 play football and 2 play both. How many play only cricket?
  3. 3.In a group of 39 children, 29 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing only English songs?
  4. 4.In a group of 31 children, 8 sing Hindi songs, 19 sing English songs and 5 sing both. How many sing only English songs?
  5. 5.In a group of 37 children, 13 enjoy drawing, 25 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  6. 6.In a group of 42 children, 23 enjoy drawing, 15 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  7. 7.In a group of 30 children, 20 enjoy drawing, 14 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  8. 8.In a group of 27 children, 13 like mangoes, 10 like bananas and 6 like both. How many like at least one of the two?
  9. 9.In a group of 52 children, 20 like mangoes, 25 like bananas and 6 like both. How many like at least one of the two?
  10. 10.In a group of 41 children, 22 play cricket, 14 play football and 3 play both. How many play neither of the two?
  11. 11.In a group of 43 children, 20 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing exactly one of the two?
  12. 12.In a group of 30 children, 11 sing Hindi songs, 7 sing English songs and 2 sing both. How many sing neither of the two?
  13. 13.In a group of 34 children, 18 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  14. 14.In a group of 32 children, 22 play chess, 18 play carrom and 11 play both. How many play neither of the two?
  15. 15.In a group of 18 children, 7 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing exactly one of the two?
  16. 16.In a group of 39 children, 18 play chess, 18 play carrom and 2 play both. How many play neither of the two?
  17. 17.In a group of 35 children, 9 like mangoes, 21 like bananas and 3 like both. How many like only bananas?
  18. 18.In a group of 42 children, 28 enjoy drawing, 12 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  19. 19.In a group of 36 children, 13 sing Hindi songs, 18 sing English songs and 3 sing both. How many sing at least one of the two?
  20. 20.In a group of 30 children, 17 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  21. 21.In a group of 29 grown-ups, 12 drink tea, 18 drink coffee and 3 drink both. How many drink only tea?
  22. 22.In a group of 42 children, 26 play chess, 16 play carrom and 9 play both. How many play only carrom?
  23. 23.In a group of 26 children, 14 play chess, 12 play carrom and 4 play both. How many play only carrom?
  24. 24.In a group of 33 children, 13 play chess, 10 play carrom and 3 play both. How many play at least one of the two?
  25. 25.In a group of 40 children, 13 enjoy drawing, 26 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  26. 26.In a group of 36 grown-ups, 19 drink tea, 16 drink coffee and 11 drink both. How many drink neither of the two?
  27. 27.In a group of 33 children, 21 like mangoes, 8 like bananas and 2 like both. How many like at least one of the two?
  28. 28.In a group of 34 children, 26 play cricket, 17 play football and 11 play both. How many play at least one of the two?
  29. 29.In a group of 31 children, 19 like mangoes, 9 like bananas and 2 like both. How many like only mangoes?
  30. 30.In a group of 29 children, 20 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing only Hindi songs?
  31. 31.In a group of 43 children, 16 like mangoes, 19 like bananas and 4 like both. How many like exactly one of the two?
  32. 32.In a group of 50 children, 21 play cricket, 20 play football and 3 play both. How many play at least one of the two?
  33. 33.In a group of 31 children, 20 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 43 children, 16 sing Hindi songs, 23 sing English songs and 11 sing both. How many sing only Hindi songs?
  35. 35.In a group of 46 children, 29 play chess, 23 play carrom and 12 play both. How many play only carrom?
  36. 36.In a group of 60 children, 29 play cricket, 31 play football and 11 play both. How many play exactly one of the two?
  37. 37.In a group of 47 children, 20 enjoy drawing, 26 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  38. 38.In a group of 20 children, 7 sing Hindi songs, 6 sing English songs and 3 sing both. How many sing neither of the two?
  39. 39.In a group of 23 children, 16 like mangoes, 9 like bananas and 6 like both. How many like neither of the two?
  40. 40.In a group of 47 children, 15 play chess, 30 play carrom and 11 play both. How many play only carrom?

Answer key

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

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