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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 603 · 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 grown-ups, 19 drink tea, 9 drink coffee and 2 drink both. How many drink only coffee?
  2. 2.In a group of 37 children, 10 play cricket, 21 play football and 2 play both. How many play neither of the two?
  3. 3.In a group of 45 children, 15 play chess, 22 play carrom and 5 play both. How many play only chess?
  4. 4.In a group of 28 children, 24 play cricket, 11 play football and 8 play both. How many play only cricket?
  5. 5.In a group of 31 children, 16 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 42 children, 23 like mangoes, 15 like bananas and 4 like both. How many like only bananas?
  7. 7.In a group of 56 children, 25 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing at least one of the two?
  8. 8.In a group of 45 children, 21 play cricket, 13 play football and 2 play both. How many play exactly one of the two?
  9. 9.In a group of 30 children, 19 enjoy drawing, 11 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  10. 10.In a group of 16 children, 8 play chess, 8 play carrom and 5 play both. How many play at least one of the two?
  11. 11.In a group of 26 children, 16 play cricket, 9 play football and 2 play both. How many play only football?
  12. 12.In a group of 33 children, 13 enjoy drawing, 19 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  13. 13.In a group of 29 children, 21 play cricket, 12 play football and 9 play both. How many play exactly one of the two?
  14. 14.In a group of 36 children, 14 sing Hindi songs, 23 sing English songs and 5 sing both. How many sing only Hindi songs?
  15. 15.In a group of 35 children, 16 sing Hindi songs, 16 sing English songs and 11 sing both. How many sing only Hindi songs?
  16. 16.In a group of 46 children, 20 play chess, 20 play carrom and 3 play both. How many play only chess?
  17. 17.In a group of 36 children, 12 like mangoes, 18 like bananas and 4 like both. How many like only bananas?
  18. 18.In a group of 59 children, 30 play cricket, 31 play football and 12 play both. How many play only cricket?
  19. 19.In a group of 52 grown-ups, 30 drink tea, 21 drink coffee and 10 drink both. How many drink neither of the two?
  20. 20.In a group of 35 children, 10 play chess, 22 play carrom and 7 play both. How many play neither of the two?
  21. 21.In a group of 40 children, 27 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  22. 22.In a group of 34 children, 20 sing Hindi songs, 17 sing English songs and 7 sing both. How many sing at least one of the two?
  23. 23.In a group of 57 children, 31 enjoy drawing, 24 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  24. 24.In a group of 29 children, 22 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  25. 25.In a group of 42 children, 22 sing Hindi songs, 11 sing English songs and 5 sing both. How many sing at least one of the two?
  26. 26.In a group of 36 children, 19 enjoy drawing, 7 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  27. 27.In a group of 35 children, 16 like mangoes, 24 like bananas and 10 like both. How many like only mangoes?
  28. 28.In a group of 40 children, 10 enjoy drawing, 22 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 34 children, 9 play chess, 16 play carrom and 6 play both. How many play only chess?
  30. 30.In a group of 32 grown-ups, 18 drink tea, 16 drink coffee and 5 drink both. How many drink exactly one of the two?
  31. 31.In a group of 54 grown-ups, 31 drink tea, 26 drink coffee and 11 drink both. How many drink only tea?
  32. 32.In a group of 41 children, 20 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  33. 33.In a group of 48 children, 19 play cricket, 21 play football and 5 play both. How many play only football?
  34. 34.In a group of 60 children, 30 like mangoes, 29 like bananas and 12 like both. How many like at least one of the two?
  35. 35.In a group of 33 children, 14 enjoy drawing, 20 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 28 children, 11 play cricket, 20 play football and 4 play both. How many play exactly one of the two?
  37. 37.In a group of 35 children, 22 play cricket, 21 play football and 12 play both. How many play exactly one of the two?
  38. 38.In a group of 40 children, 21 like mangoes, 18 like bananas and 7 like both. How many like only mangoes?
  39. 39.In a group of 19 children, 11 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing only Hindi songs?
  40. 40.In a group of 34 grown-ups, 9 drink tea, 24 drink coffee and 5 drink both. How many drink neither of the two?

Answer key

  1. 7
  2. 8
  3. 10
  4. 16
  5. 11
  6. 11
  7. 43
  8. 30
  9. 14
  10. 11
  11. 7
  12. 6
  13. 15
  14. 9
  15. 5
  16. 17
  17. 14
  18. 18
  19. 11
  20. 10
  21. 22
  22. 30
  23. 13
  24. 19
  25. 28
  26. 22
  27. 6
  28. 25
  29. 3
  30. 24
  31. 20
  32. 10
  33. 16
  34. 47
  35. 23
  36. 23
  37. 19
  38. 14
  39. 7
  40. 6

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