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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 369 · 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 47 grown-ups, 16 drink tea, 24 drink coffee and 6 drink both. How many drink only tea?
  2. 2.In a group of 37 grown-ups, 14 drink tea, 19 drink coffee and 6 drink both. How many drink exactly one of the two?
  3. 3.In a group of 30 children, 15 enjoy drawing, 10 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 45 children, 24 like mangoes, 15 like bananas and 6 like both. How many like exactly one of the two?
  5. 5.In a group of 36 children, 20 enjoy drawing, 10 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  6. 6.In a group of 42 children, 29 like mangoes, 12 like bananas and 9 like both. How many like only mangoes?
  7. 7.In a group of 32 children, 22 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  8. 8.In a group of 37 children, 22 play cricket, 15 play football and 3 play both. How many play only football?
  9. 9.In a group of 35 children, 13 play chess, 15 play carrom and 6 play both. How many play at least one of the two?
  10. 10.In a group of 28 children, 11 play chess, 7 play carrom and 4 play both. How many play exactly one of the two?
  11. 11.In a group of 52 children, 28 play chess, 20 play carrom and 10 play both. How many play only chess?
  12. 12.In a group of 36 children, 24 play chess, 16 play carrom and 12 play both. How many play exactly one of the two?
  13. 13.In a group of 40 grown-ups, 21 drink tea, 18 drink coffee and 3 drink both. How many drink at least one of the two?
  14. 14.In a group of 38 children, 27 sing Hindi songs, 20 sing English songs and 10 sing both. How many sing neither of the two?
  15. 15.In a group of 24 children, 14 play chess, 15 play carrom and 7 play both. How many play only carrom?
  16. 16.In a group of 32 children, 19 play cricket, 15 play football and 3 play both. How many play only football?
  17. 17.In a group of 42 children, 23 enjoy drawing, 24 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 48 children, 24 play cricket, 22 play football and 5 play both. How many play neither of the two?
  19. 19.In a group of 53 children, 20 play cricket, 22 play football and 2 play both. How many play neither of the two?
  20. 20.In a group of 27 children, 11 play cricket, 10 play football and 2 play both. How many play only football?
  21. 21.In a group of 36 grown-ups, 13 drink tea, 23 drink coffee and 3 drink both. How many drink neither of the two?
  22. 22.In a group of 40 children, 23 enjoy drawing, 19 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  23. 23.In a group of 28 children, 11 play cricket, 16 play football and 2 play both. How many play neither of the two?
  24. 24.In a group of 29 children, 7 play chess, 12 play carrom and 2 play both. How many play only carrom?
  25. 25.In a group of 26 children, 16 like mangoes, 14 like bananas and 6 like both. How many like only mangoes?
  26. 26.In a group of 47 children, 21 enjoy drawing, 13 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  27. 27.In a group of 33 children, 15 like mangoes, 18 like bananas and 10 like both. How many like neither of the two?
  28. 28.In a group of 36 children, 24 enjoy drawing, 16 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  29. 29.In a group of 30 children, 21 play cricket, 16 play football and 8 play both. How many play at least one of the two?
  30. 30.In a group of 36 children, 21 sing Hindi songs, 14 sing English songs and 4 sing both. How many sing only Hindi songs?
  31. 31.In a group of 37 children, 14 enjoy drawing, 22 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  32. 32.In a group of 21 children, 14 like mangoes, 12 like bananas and 8 like both. How many like exactly one of the two?
  33. 33.In a group of 33 children, 26 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  34. 34.In a group of 20 children, 14 enjoy drawing, 14 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  35. 35.In a group of 26 children, 15 enjoy drawing, 20 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  36. 36.In a group of 55 children, 20 play cricket, 26 play football and 6 play both. How many play exactly one of the two?
  37. 37.In a group of 48 children, 23 enjoy drawing, 21 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  38. 38.In a group of 23 children, 5 play chess, 18 play carrom and 2 play both. How many play only carrom?
  39. 39.In a group of 26 children, 12 enjoy drawing, 13 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 45 children, 22 play cricket, 20 play football and 10 play both. How many play neither of the two?

Answer key

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

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