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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 620 · 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 36 children, 22 play chess, 21 play carrom and 8 play both. How many play at least one of the two?
  2. 2.In a group of 41 grown-ups, 20 drink tea, 16 drink coffee and 4 drink both. How many drink neither of the two?
  3. 3.In a group of 45 children, 19 like mangoes, 24 like bananas and 12 like both. How many like at least one of the two?
  4. 4.In a group of 24 children, 10 enjoy drawing, 17 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 44 children, 23 play cricket, 19 play football and 5 play both. How many play at least one of the two?
  6. 6.In a group of 31 grown-ups, 18 drink tea, 6 drink coffee and 2 drink both. How many drink exactly one of the two?
  7. 7.In a group of 26 children, 16 enjoy drawing, 13 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  8. 8.In a group of 38 grown-ups, 29 drink tea, 17 drink coffee and 11 drink both. How many drink only tea?
  9. 9.In a group of 33 children, 21 play chess, 19 play carrom and 8 play both. How many play only carrom?
  10. 10.In a group of 33 children, 21 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing neither of the two?
  11. 11.In a group of 46 grown-ups, 26 drink tea, 26 drink coffee and 11 drink both. How many drink only tea?
  12. 12.In a group of 43 grown-ups, 16 drink tea, 28 drink coffee and 11 drink both. How many drink at least one of the two?
  13. 13.In a group of 50 children, 21 like mangoes, 28 like bananas and 10 like both. How many like only mangoes?
  14. 14.In a group of 34 children, 25 play cricket, 19 play football and 11 play both. How many play exactly one of the two?
  15. 15.In a group of 37 children, 19 play chess, 10 play carrom and 2 play both. How many play only carrom?
  16. 16.In a group of 30 children, 5 play cricket, 21 play football and 2 play both. How many play only football?
  17. 17.In a group of 47 children, 24 enjoy drawing, 27 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 38 children, 30 play chess, 16 play carrom and 10 play both. How many play neither of the two?
  19. 19.In a group of 33 grown-ups, 25 drink tea, 16 drink coffee and 10 drink both. How many drink only tea?
  20. 20.In a group of 30 children, 21 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 37 children, 8 like mangoes, 22 like bananas and 5 like both. How many like only bananas?
  22. 22.In a group of 27 grown-ups, 18 drink tea, 16 drink coffee and 11 drink both. How many drink exactly one of the two?
  23. 23.In a group of 32 children, 15 like mangoes, 27 like bananas and 11 like both. How many like only bananas?
  24. 24.In a group of 34 children, 16 enjoy drawing, 17 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 25 children, 20 play chess, 13 play carrom and 9 play both. How many play exactly one of the two?
  26. 26.In a group of 43 children, 29 play chess, 20 play carrom and 11 play both. How many play exactly one of the two?
  27. 27.In a group of 41 children, 20 like mangoes, 26 like bananas and 10 like both. How many like only bananas?
  28. 28.In a group of 46 grown-ups, 18 drink tea, 24 drink coffee and 8 drink both. How many drink only tea?
  29. 29.In a group of 38 children, 18 play chess, 27 play carrom and 11 play both. How many play at least one of the two?
  30. 30.In a group of 37 children, 23 play cricket, 10 play football and 6 play both. How many play exactly one of the two?
  31. 31.In a group of 33 grown-ups, 12 drink tea, 21 drink coffee and 6 drink both. How many drink only tea?
  32. 32.In a group of 37 children, 18 sing Hindi songs, 14 sing English songs and 10 sing both. How many sing only English songs?
  33. 33.In a group of 35 children, 27 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 37 children, 13 play cricket, 19 play football and 10 play both. How many play neither of the two?
  35. 35.In a group of 33 children, 15 play chess, 10 play carrom and 6 play both. How many play only carrom?
  36. 36.In a group of 49 children, 16 play cricket, 28 play football and 10 play both. How many play exactly one of the two?
  37. 37.In a group of 40 children, 24 play cricket, 17 play football and 7 play both. How many play at least one of the two?
  38. 38.In a group of 26 children, 7 like mangoes, 18 like bananas and 2 like both. How many like only bananas?
  39. 39.In a group of 35 children, 15 play chess, 21 play carrom and 5 play both. How many play only carrom?
  40. 40.In a group of 36 children, 22 play cricket, 10 play football and 3 play both. How many play at least one of the two?

Answer key

  1. 35
  2. 9
  3. 31
  4. 6
  5. 37
  6. 20
  7. 21
  8. 18
  9. 11
  10. 4
  11. 15
  12. 33
  13. 11
  14. 22
  15. 8
  16. 19
  17. 44
  18. 2
  19. 15
  20. 10
  21. 17
  22. 12
  23. 16
  24. 12
  25. 15
  26. 27
  27. 16
  28. 10
  29. 34
  30. 21
  31. 6
  32. 4
  33. 3
  34. 15
  35. 4
  36. 24
  37. 34
  38. 16
  39. 16
  40. 29

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