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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 393 · 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 42 children, 14 play cricket, 28 play football and 9 play both. How many play exactly one of the two?
  2. 2.In a group of 39 children, 15 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 35 children, 22 play cricket, 18 play football and 11 play both. How many play only cricket?
  4. 4.In a group of 33 children, 14 play chess, 18 play carrom and 6 play both. How many play only carrom?
  5. 5.In a group of 44 children, 18 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 34 children, 22 play chess, 11 play carrom and 4 play both. How many play at least one of the two?
  7. 7.In a group of 33 children, 19 play cricket, 17 play football and 7 play both. How many play neither of the two?
  8. 8.In a group of 49 children, 20 like mangoes, 28 like bananas and 12 like both. How many like only bananas?
  9. 9.In a group of 44 children, 24 like mangoes, 17 like bananas and 10 like both. How many like only bananas?
  10. 10.In a group of 39 children, 20 sing Hindi songs, 19 sing English songs and 5 sing both. How many sing exactly one of the two?
  11. 11.In a group of 41 grown-ups, 20 drink tea, 20 drink coffee and 4 drink both. How many drink only tea?
  12. 12.In a group of 35 children, 12 like mangoes, 20 like bananas and 4 like both. How many like at least one of the two?
  13. 13.In a group of 25 grown-ups, 7 drink tea, 9 drink coffee and 2 drink both. How many drink only tea?
  14. 14.In a group of 29 children, 17 sing Hindi songs, 22 sing English songs and 12 sing both. How many sing at least one of the two?
  15. 15.In a group of 28 grown-ups, 9 drink tea, 15 drink coffee and 3 drink both. How many drink exactly one of the two?
  16. 16.In a group of 27 grown-ups, 10 drink tea, 9 drink coffee and 5 drink both. How many drink neither of the two?
  17. 17.In a group of 48 children, 16 like mangoes, 24 like bananas and 6 like both. How many like at least one of the two?
  18. 18.In a group of 21 children, 9 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  19. 19.In a group of 42 children, 17 like mangoes, 19 like bananas and 4 like both. How many like exactly one of the two?
  20. 20.In a group of 37 grown-ups, 25 drink tea, 15 drink coffee and 6 drink both. How many drink only tea?
  21. 21.In a group of 50 children, 31 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  22. 22.In a group of 35 children, 23 play chess, 14 play carrom and 8 play both. How many play only chess?
  23. 23.In a group of 47 children, 25 like mangoes, 22 like bananas and 9 like both. How many like neither of the two?
  24. 24.In a group of 35 grown-ups, 19 drink tea, 12 drink coffee and 4 drink both. How many drink at least one of the two?
  25. 25.In a group of 50 children, 23 like mangoes, 30 like bananas and 11 like both. How many like at least one of the two?
  26. 26.In a group of 34 children, 18 like mangoes, 14 like bananas and 3 like both. How many like only mangoes?
  27. 27.In a group of 23 children, 15 sing Hindi songs, 9 sing English songs and 2 sing both. How many sing only Hindi songs?
  28. 28.In a group of 56 children, 27 play chess, 25 play carrom and 11 play both. How many play only carrom?
  29. 29.In a group of 37 grown-ups, 19 drink tea, 12 drink coffee and 7 drink both. How many drink only coffee?
  30. 30.In a group of 33 children, 19 sing Hindi songs, 15 sing English songs and 9 sing both. How many sing only Hindi songs?
  31. 31.In a group of 50 children, 21 like mangoes, 21 like bananas and 2 like both. How many like neither of the two?
  32. 32.In a group of 39 children, 11 enjoy drawing, 21 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  33. 33.In a group of 14 children, 7 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 27 children, 16 play cricket, 16 play football and 10 play both. How many play only cricket?
  35. 35.In a group of 32 children, 19 sing Hindi songs, 13 sing English songs and 10 sing both. How many sing exactly one of the two?
  36. 36.In a group of 44 children, 21 enjoy drawing, 27 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  37. 37.In a group of 52 children, 29 sing Hindi songs, 32 sing English songs and 12 sing both. How many sing only English songs?
  38. 38.In a group of 40 children, 30 enjoy drawing, 17 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 50 children, 25 like mangoes, 20 like bananas and 5 like both. How many like at least one of the two?
  40. 40.In a group of 35 children, 10 play cricket, 24 play football and 5 play both. How many play only cricket?

Answer key

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

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