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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 60 · 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 40 children, 11 play cricket, 19 play football and 3 play both. How many play only football?
  2. 2.In a group of 30 grown-ups, 9 drink tea, 17 drink coffee and 4 drink both. How many drink exactly one of the two?
  3. 3.In a group of 44 children, 29 play cricket, 22 play football and 9 play both. How many play exactly one of the two?
  4. 4.In a group of 36 children, 31 play cricket, 15 play football and 11 play both. How many play exactly one of the two?
  5. 5.In a group of 41 children, 22 play cricket, 21 play football and 11 play both. How many play at least one of the two?
  6. 6.In a group of 44 children, 17 like mangoes, 22 like bananas and 4 like both. How many like at least one of the two?
  7. 7.In a group of 27 children, 14 enjoy drawing, 10 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 40 children, 23 play chess, 18 play carrom and 3 play both. How many play exactly one of the two?
  9. 9.In a group of 36 children, 27 sing Hindi songs, 13 sing English songs and 7 sing both. How many sing exactly one of the two?
  10. 10.In a group of 28 children, 15 like mangoes, 13 like bananas and 3 like both. How many like only mangoes?
  11. 11.In a group of 48 children, 23 play cricket, 20 play football and 8 play both. How many play only cricket?
  12. 12.In a group of 37 children, 20 enjoy drawing, 14 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  13. 13.In a group of 42 children, 18 play cricket, 26 play football and 9 play both. How many play at least one of the two?
  14. 14.In a group of 24 children, 14 like mangoes, 15 like bananas and 11 like both. How many like exactly one of the two?
  15. 15.In a group of 40 children, 25 like mangoes, 25 like bananas and 12 like both. How many like only mangoes?
  16. 16.In a group of 28 children, 17 sing Hindi songs, 9 sing English songs and 2 sing both. How many sing at least one of the two?
  17. 17.In a group of 42 children, 18 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  18. 18.In a group of 57 grown-ups, 25 drink tea, 26 drink coffee and 9 drink both. How many drink at least one of the two?
  19. 19.In a group of 32 children, 11 like mangoes, 23 like bananas and 3 like both. How many like neither of the two?
  20. 20.In a group of 33 children, 18 sing Hindi songs, 14 sing English songs and 4 sing both. How many sing at least one of the two?
  21. 21.In a group of 48 children, 21 enjoy drawing, 32 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  22. 22.In a group of 28 children, 9 play cricket, 22 play football and 5 play both. How many play at least one of the two?
  23. 23.In a group of 48 children, 23 enjoy drawing, 15 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  24. 24.In a group of 52 children, 30 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 36 children, 14 like mangoes, 22 like bananas and 5 like both. How many like only mangoes?
  26. 26.In a group of 35 grown-ups, 15 drink tea, 9 drink coffee and 4 drink both. How many drink only tea?
  27. 27.In a group of 36 children, 23 sing Hindi songs, 11 sing English songs and 5 sing both. How many sing neither of the two?
  28. 28.In a group of 26 children, 17 sing Hindi songs, 19 sing English songs and 11 sing both. How many sing only English songs?
  29. 29.In a group of 35 children, 14 play chess, 14 play carrom and 2 play both. How many play only chess?
  30. 30.In a group of 42 children, 19 play cricket, 23 play football and 3 play both. How many play neither of the two?
  31. 31.In a group of 35 children, 23 sing Hindi songs, 12 sing English songs and 7 sing both. How many sing at least one of the two?
  32. 32.In a group of 34 children, 8 like mangoes, 21 like bananas and 3 like both. How many like neither of the two?
  33. 33.In a group of 43 children, 29 like mangoes, 19 like bananas and 9 like both. How many like exactly one of the two?
  34. 34.In a group of 31 children, 27 play chess, 11 play carrom and 8 play both. How many play at least one of the two?
  35. 35.In a group of 33 children, 11 enjoy drawing, 14 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  36. 36.In a group of 29 children, 13 enjoy drawing, 10 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  37. 37.In a group of 35 children, 18 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 39 children, 18 play chess, 28 play carrom and 10 play both. How many play only chess?
  39. 39.In a group of 37 children, 9 like mangoes, 23 like bananas and 6 like both. How many like at least one of the two?
  40. 40.In a group of 27 children, 17 enjoy drawing, 16 enjoy dancing and 9 enjoy both. How many enjoy only dancing?

Answer key

  1. 16
  2. 18
  3. 33
  4. 24
  5. 32
  6. 35
  7. 4
  8. 35
  9. 26
  10. 12
  11. 15
  12. 7
  13. 35
  14. 7
  15. 13
  16. 24
  17. 6
  18. 42
  19. 1
  20. 28
  21. 41
  22. 26
  23. 28
  24. 17
  25. 9
  26. 11
  27. 7
  28. 8
  29. 12
  30. 3
  31. 28
  32. 8
  33. 30
  34. 30
  35. 11
  36. 21
  37. 16
  38. 8
  39. 26
  40. 7

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