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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 390 · 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 39 grown-ups, 9 drink tea, 22 drink coffee and 5 drink both. How many drink only coffee?
  2. 2.In a group of 25 children, 13 play chess, 7 play carrom and 4 play both. How many play only chess?
  3. 3.In a group of 48 children, 28 like mangoes, 24 like bananas and 12 like both. How many like only mangoes?
  4. 4.In a group of 26 children, 21 like mangoes, 10 like bananas and 7 like both. How many like only bananas?
  5. 5.In a group of 40 children, 19 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  6. 6.In a group of 50 grown-ups, 25 drink tea, 23 drink coffee and 11 drink both. How many drink only tea?
  7. 7.In a group of 43 children, 26 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing neither of the two?
  8. 8.In a group of 43 children, 20 like mangoes, 22 like bananas and 4 like both. How many like only bananas?
  9. 9.In a group of 53 children, 31 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  10. 10.In a group of 39 children, 16 play cricket, 21 play football and 3 play both. How many play neither of the two?
  11. 11.In a group of 41 children, 23 play chess, 23 play carrom and 9 play both. How many play at least one of the two?
  12. 12.In a group of 27 children, 7 enjoy drawing, 13 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 42 children, 27 enjoy drawing, 20 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 28 grown-ups, 8 drink tea, 14 drink coffee and 5 drink both. How many drink only coffee?
  15. 15.In a group of 50 children, 23 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  16. 16.In a group of 26 children, 8 play cricket, 10 play football and 3 play both. How many play neither of the two?
  17. 17.In a group of 38 children, 26 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  18. 18.In a group of 45 children, 11 enjoy drawing, 26 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  19. 19.In a group of 38 children, 19 sing Hindi songs, 25 sing English songs and 8 sing both. How many sing exactly one of the two?
  20. 20.In a group of 25 children, 18 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing exactly one of the two?
  21. 21.In a group of 35 children, 16 like mangoes, 12 like bananas and 5 like both. How many like exactly one of the two?
  22. 22.In a group of 38 children, 15 play cricket, 19 play football and 2 play both. How many play at least one of the two?
  23. 23.In a group of 32 children, 14 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 26 children, 17 play cricket, 6 play football and 3 play both. How many play only cricket?
  25. 25.In a group of 31 children, 14 like mangoes, 11 like bananas and 6 like both. How many like only mangoes?
  26. 26.In a group of 45 children, 23 play cricket, 25 play football and 8 play both. How many play exactly one of the two?
  27. 27.In a group of 30 children, 21 like mangoes, 18 like bananas and 11 like both. How many like only bananas?
  28. 28.In a group of 25 children, 14 sing Hindi songs, 18 sing English songs and 8 sing both. How many sing neither of the two?
  29. 29.In a group of 41 children, 25 play cricket, 18 play football and 5 play both. How many play only football?
  30. 30.In a group of 15 children, 11 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing at least one of the two?
  31. 31.In a group of 40 children, 20 enjoy drawing, 13 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  32. 32.In a group of 45 children, 18 like mangoes, 19 like bananas and 2 like both. How many like only mangoes?
  33. 33.In a group of 33 children, 23 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  34. 34.In a group of 37 children, 10 sing Hindi songs, 25 sing English songs and 7 sing both. How many sing exactly one of the two?
  35. 35.In a group of 36 children, 24 like mangoes, 19 like bananas and 11 like both. How many like only mangoes?
  36. 36.In a group of 50 children, 21 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing exactly one of the two?
  37. 37.In a group of 32 children, 12 like mangoes, 23 like bananas and 6 like both. How many like exactly one of the two?
  38. 38.In a group of 43 children, 22 enjoy drawing, 23 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 50 children, 18 enjoy drawing, 23 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 23 children, 12 sing Hindi songs, 14 sing English songs and 9 sing both. How many sing only English songs?

Answer key

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

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