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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 138 · 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 28 children, 17 play chess, 10 play carrom and 4 play both. How many play exactly one of the two?
  2. 2.In a group of 40 children, 7 play cricket, 23 play football and 4 play both. How many play only football?
  3. 3.In a group of 21 children, 8 enjoy drawing, 10 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  4. 4.In a group of 29 children, 11 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing neither of the two?
  5. 5.In a group of 34 children, 12 enjoy drawing, 19 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  6. 6.In a group of 39 children, 14 sing Hindi songs, 24 sing English songs and 11 sing both. How many sing only English songs?
  7. 7.In a group of 36 children, 15 sing Hindi songs, 13 sing English songs and 5 sing both. How many sing only Hindi songs?
  8. 8.In a group of 33 grown-ups, 9 drink tea, 23 drink coffee and 6 drink both. How many drink only coffee?
  9. 9.In a group of 30 children, 18 play chess, 16 play carrom and 6 play both. How many play only carrom?
  10. 10.In a group of 42 children, 19 enjoy drawing, 18 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  11. 11.In a group of 42 children, 22 like mangoes, 11 like bananas and 5 like both. How many like exactly one of the two?
  12. 12.In a group of 43 children, 15 play cricket, 23 play football and 7 play both. How many play only cricket?
  13. 13.In a group of 50 grown-ups, 19 drink tea, 28 drink coffee and 11 drink both. How many drink at least one of the two?
  14. 14.In a group of 40 children, 24 like mangoes, 20 like bananas and 5 like both. How many like neither of the two?
  15. 15.In a group of 37 children, 14 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  16. 16.In a group of 49 children, 25 enjoy drawing, 19 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  17. 17.In a group of 27 children, 9 sing Hindi songs, 20 sing English songs and 6 sing both. How many sing at least one of the two?
  18. 18.In a group of 34 children, 11 play cricket, 26 play football and 7 play both. How many play only football?
  19. 19.In a group of 36 children, 16 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing only English songs?
  20. 20.In a group of 24 children, 17 sing Hindi songs, 10 sing English songs and 5 sing both. How many sing at least one of the two?
  21. 21.In a group of 29 children, 19 sing Hindi songs, 12 sing English songs and 5 sing both. How many sing only Hindi songs?
  22. 22.In a group of 39 children, 26 sing Hindi songs, 11 sing English songs and 8 sing both. How many sing only English songs?
  23. 23.In a group of 23 children, 15 like mangoes, 9 like bananas and 3 like both. How many like at least one of the two?
  24. 24.In a group of 27 children, 6 sing Hindi songs, 14 sing English songs and 3 sing both. How many sing only Hindi songs?
  25. 25.In a group of 18 children, 9 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing only English songs?
  26. 26.In a group of 44 children, 15 sing Hindi songs, 27 sing English songs and 8 sing both. How many sing exactly one of the two?
  27. 27.In a group of 40 children, 20 play chess, 22 play carrom and 9 play both. How many play only chess?
  28. 28.In a group of 30 children, 16 sing Hindi songs, 10 sing English songs and 3 sing both. How many sing neither of the two?
  29. 29.In a group of 45 children, 25 enjoy drawing, 14 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  30. 30.In a group of 40 children, 26 like mangoes, 18 like bananas and 9 like both. How many like at least one of the two?
  31. 31.In a group of 21 children, 11 enjoy drawing, 10 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 28 grown-ups, 10 drink tea, 19 drink coffee and 5 drink both. How many drink exactly one of the two?
  33. 33.In a group of 36 children, 17 sing Hindi songs, 27 sing English songs and 11 sing both. How many sing only Hindi songs?
  34. 34.In a group of 27 children, 14 enjoy drawing, 20 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  35. 35.In a group of 32 children, 15 enjoy drawing, 20 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  36. 36.In a group of 27 children, 14 enjoy drawing, 19 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  37. 37.In a group of 37 children, 22 play cricket, 14 play football and 9 play both. How many play only cricket?
  38. 38.In a group of 51 children, 21 like mangoes, 27 like bananas and 11 like both. How many like only mangoes?
  39. 39.In a group of 44 children, 15 play cricket, 28 play football and 8 play both. How many play at least one of the two?
  40. 40.In a group of 29 children, 10 sing Hindi songs, 16 sing English songs and 3 sing both. How many sing neither of the two?

Answer key

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

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