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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 305 · 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 23 children, 12 like mangoes, 16 like bananas and 7 like both. How many like only mangoes?
  2. 2.In a group of 47 children, 30 play cricket, 21 play football and 11 play both. How many play only cricket?
  3. 3.In a group of 34 children, 19 like mangoes, 20 like bananas and 10 like both. How many like only mangoes?
  4. 4.In a group of 52 children, 26 play cricket, 28 play football and 10 play both. How many play only cricket?
  5. 5.In a group of 39 children, 5 sing Hindi songs, 21 sing English songs and 2 sing both. How many sing at least one of the two?
  6. 6.In a group of 31 grown-ups, 16 drink tea, 18 drink coffee and 9 drink both. How many drink only coffee?
  7. 7.In a group of 41 children, 18 play cricket, 30 play football and 12 play both. How many play only cricket?
  8. 8.In a group of 32 children, 11 play cricket, 16 play football and 3 play both. How many play neither of the two?
  9. 9.In a group of 58 children, 26 like mangoes, 25 like bananas and 6 like both. How many like only bananas?
  10. 10.In a group of 46 children, 23 sing Hindi songs, 16 sing English songs and 4 sing both. How many sing exactly one of the two?
  11. 11.In a group of 26 children, 7 play chess, 16 play carrom and 3 play both. How many play only carrom?
  12. 12.In a group of 30 children, 21 play cricket, 17 play football and 10 play both. How many play at least one of the two?
  13. 13.In a group of 56 children, 30 play cricket, 23 play football and 12 play both. How many play neither of the two?
  14. 14.In a group of 60 children, 30 play cricket, 28 play football and 12 play both. How many play at least one of the two?
  15. 15.In a group of 38 grown-ups, 23 drink tea, 7 drink coffee and 4 drink both. How many drink only coffee?
  16. 16.In a group of 14 grown-ups, 8 drink tea, 6 drink coffee and 2 drink both. How many drink exactly one of the two?
  17. 17.In a group of 46 children, 19 sing Hindi songs, 25 sing English songs and 12 sing both. How many sing exactly one of the two?
  18. 18.In a group of 42 grown-ups, 27 drink tea, 23 drink coffee and 10 drink both. How many drink exactly one of the two?
  19. 19.In a group of 25 children, 13 play chess, 11 play carrom and 3 play both. How many play only carrom?
  20. 20.In a group of 50 grown-ups, 19 drink tea, 23 drink coffee and 6 drink both. How many drink only tea?
  21. 21.In a group of 32 children, 15 play cricket, 14 play football and 9 play both. How many play only cricket?
  22. 22.In a group of 23 children, 11 play chess, 9 play carrom and 6 play both. How many play only chess?
  23. 23.In a group of 44 children, 29 play cricket, 20 play football and 9 play both. How many play only cricket?
  24. 24.In a group of 23 children, 11 enjoy drawing, 10 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  25. 25.In a group of 36 children, 21 play chess, 10 play carrom and 4 play both. How many play at least one of the two?
  26. 26.In a group of 43 children, 22 like mangoes, 27 like bananas and 8 like both. How many like neither of the two?
  27. 27.In a group of 36 children, 25 play cricket, 16 play football and 11 play both. How many play exactly one of the two?
  28. 28.In a group of 33 children, 10 play cricket, 19 play football and 4 play both. How many play only cricket?
  29. 29.In a group of 16 children, 12 enjoy drawing, 5 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  30. 30.In a group of 21 children, 9 enjoy drawing, 7 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 45 grown-ups, 14 drink tea, 21 drink coffee and 5 drink both. How many drink only tea?
  32. 32.In a group of 23 grown-ups, 14 drink tea, 9 drink coffee and 4 drink both. How many drink exactly one of the two?
  33. 33.In a group of 48 children, 15 enjoy drawing, 23 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 31 children, 21 play cricket, 11 play football and 7 play both. How many play only cricket?
  35. 35.In a group of 42 children, 25 enjoy drawing, 22 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 49 children, 16 like mangoes, 22 like bananas and 4 like both. How many like neither of the two?
  37. 37.In a group of 41 children, 22 sing Hindi songs, 20 sing English songs and 5 sing both. How many sing at least one of the two?
  38. 38.In a group of 22 children, 13 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  39. 39.In a group of 40 children, 18 play chess, 18 play carrom and 7 play both. How many play at least one of the two?
  40. 40.In a group of 47 children, 15 play cricket, 24 play football and 7 play both. How many play only cricket?

Answer key

  1. 5
  2. 19
  3. 9
  4. 16
  5. 24
  6. 9
  7. 6
  8. 8
  9. 19
  10. 31
  11. 13
  12. 28
  13. 15
  14. 46
  15. 3
  16. 10
  17. 20
  18. 30
  19. 8
  20. 13
  21. 6
  22. 5
  23. 20
  24. 4
  25. 27
  26. 2
  27. 19
  28. 6
  29. 13
  30. 7
  31. 9
  32. 15
  33. 18
  34. 14
  35. 35
  36. 15
  37. 37
  38. 15
  39. 29
  40. 8

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