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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 440 · 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 34 children, 6 like mangoes, 23 like bananas and 3 like both. How many like only mangoes?
  2. 2.In a group of 26 children, 7 play chess, 9 play carrom and 3 play both. How many play only chess?
  3. 3.In a group of 33 children, 17 like mangoes, 23 like bananas and 10 like both. How many like at least one of the two?
  4. 4.In a group of 48 children, 17 sing Hindi songs, 28 sing English songs and 12 sing both. How many sing only Hindi songs?
  5. 5.In a group of 32 children, 20 play cricket, 19 play football and 9 play both. How many play at least one of the two?
  6. 6.In a group of 30 children, 11 enjoy drawing, 19 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  7. 7.In a group of 31 children, 17 play cricket, 10 play football and 6 play both. How many play at least one of the two?
  8. 8.In a group of 28 grown-ups, 15 drink tea, 20 drink coffee and 9 drink both. How many drink exactly one of the two?
  9. 9.In a group of 41 children, 15 play chess, 26 play carrom and 12 play both. How many play neither of the two?
  10. 10.In a group of 30 children, 17 sing Hindi songs, 12 sing English songs and 2 sing both. How many sing exactly one of the two?
  11. 11.In a group of 36 children, 20 like mangoes, 14 like bananas and 6 like both. How many like only mangoes?
  12. 12.In a group of 42 children, 22 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  13. 13.In a group of 23 children, 17 enjoy drawing, 12 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  14. 14.In a group of 37 children, 23 enjoy drawing, 12 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  15. 15.In a group of 33 children, 13 like mangoes, 26 like bananas and 10 like both. How many like only mangoes?
  16. 16.In a group of 41 children, 20 play cricket, 11 play football and 2 play both. How many play only football?
  17. 17.In a group of 42 children, 19 play chess, 29 play carrom and 10 play both. How many play neither of the two?
  18. 18.In a group of 45 children, 22 sing Hindi songs, 23 sing English songs and 3 sing both. How many sing at least one of the two?
  19. 19.In a group of 35 children, 12 play chess, 18 play carrom and 4 play both. How many play exactly one of the two?
  20. 20.In a group of 31 children, 14 sing Hindi songs, 15 sing English songs and 5 sing both. How many sing only English songs?
  21. 21.In a group of 22 children, 11 play cricket, 8 play football and 4 play both. How many play at least one of the two?
  22. 22.In a group of 26 children, 13 enjoy drawing, 19 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  23. 23.In a group of 53 children, 27 enjoy drawing, 28 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 48 grown-ups, 30 drink tea, 17 drink coffee and 10 drink both. How many drink only coffee?
  25. 25.In a group of 43 grown-ups, 19 drink tea, 17 drink coffee and 2 drink both. How many drink exactly one of the two?
  26. 26.In a group of 54 children, 24 like mangoes, 26 like bananas and 6 like both. How many like neither of the two?
  27. 27.In a group of 34 children, 11 play cricket, 16 play football and 2 play both. How many play at least one of the two?
  28. 28.In a group of 24 children, 18 play chess, 8 play carrom and 5 play both. How many play at least one of the two?
  29. 29.In a group of 43 children, 24 play cricket, 24 play football and 12 play both. How many play at least one of the two?
  30. 30.In a group of 38 grown-ups, 13 drink tea, 19 drink coffee and 6 drink both. How many drink neither of the two?
  31. 31.In a group of 30 grown-ups, 12 drink tea, 6 drink coffee and 2 drink both. How many drink only coffee?
  32. 32.In a group of 29 children, 20 play chess, 16 play carrom and 11 play both. How many play only carrom?
  33. 33.In a group of 48 children, 22 sing Hindi songs, 18 sing English songs and 6 sing both. How many sing only English songs?
  34. 34.In a group of 39 children, 12 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  35. 35.In a group of 33 children, 17 like mangoes, 9 like bananas and 4 like both. How many like only mangoes?
  36. 36.In a group of 17 children, 6 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  37. 37.In a group of 42 children, 23 play chess, 26 play carrom and 10 play both. How many play at least one of the two?
  38. 38.In a group of 35 children, 26 play chess, 16 play carrom and 9 play both. How many play neither of the two?
  39. 39.In a group of 38 children, 16 play chess, 21 play carrom and 10 play both. How many play only chess?
  40. 40.In a group of 21 children, 10 enjoy drawing, 7 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?

Answer key

  1. 3
  2. 4
  3. 30
  4. 5
  5. 30
  6. 16
  7. 21
  8. 17
  9. 12
  10. 25
  11. 14
  12. 14
  13. 4
  14. 27
  15. 3
  16. 9
  17. 4
  18. 42
  19. 22
  20. 10
  21. 15
  22. 18
  23. 18
  24. 7
  25. 32
  26. 10
  27. 25
  28. 21
  29. 36
  30. 12
  31. 4
  32. 5
  33. 12
  34. 26
  35. 13
  36. 6
  37. 39
  38. 2
  39. 6
  40. 11

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