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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 322 · 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 55 children, 28 like mangoes, 26 like bananas and 9 like both. How many like neither of the two?
  2. 2.In a group of 45 children, 23 play cricket, 26 play football and 9 play both. How many play exactly one of the two?
  3. 3.In a group of 35 children, 19 enjoy drawing, 12 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 43 children, 24 play chess, 28 play carrom and 12 play both. How many play only carrom?
  5. 5.In a group of 38 grown-ups, 11 drink tea, 17 drink coffee and 4 drink both. How many drink neither of the two?
  6. 6.In a group of 29 children, 18 play chess, 17 play carrom and 10 play both. How many play exactly one of the two?
  7. 7.In a group of 37 children, 17 sing Hindi songs, 12 sing English songs and 2 sing both. How many sing only Hindi songs?
  8. 8.In a group of 43 children, 22 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 32 children, 6 play cricket, 15 play football and 3 play both. How many play only cricket?
  10. 10.In a group of 32 children, 22 sing Hindi songs, 13 sing English songs and 7 sing both. How many sing neither of the two?
  11. 11.In a group of 32 children, 9 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing exactly one of the two?
  12. 12.In a group of 44 children, 18 enjoy drawing, 21 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 23 grown-ups, 15 drink tea, 10 drink coffee and 7 drink both. How many drink only tea?
  14. 14.In a group of 53 children, 25 like mangoes, 30 like bananas and 12 like both. How many like exactly one of the two?
  15. 15.In a group of 38 children, 23 sing Hindi songs, 16 sing English songs and 4 sing both. How many sing only Hindi songs?
  16. 16.In a group of 32 children, 17 sing Hindi songs, 17 sing English songs and 10 sing both. How many sing only English songs?
  17. 17.In a group of 50 children, 27 play chess, 24 play carrom and 12 play both. How many play neither of the two?
  18. 18.In a group of 48 children, 17 enjoy drawing, 22 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  19. 19.In a group of 28 grown-ups, 7 drink tea, 23 drink coffee and 4 drink both. How many drink neither of the two?
  20. 20.In a group of 35 children, 15 play cricket, 15 play football and 4 play both. How many play neither of the two?
  21. 21.In a group of 37 children, 13 play chess, 27 play carrom and 7 play both. How many play only chess?
  22. 22.In a group of 34 children, 14 sing Hindi songs, 22 sing English songs and 6 sing both. How many sing only English songs?
  23. 23.In a group of 28 children, 12 like mangoes, 17 like bananas and 3 like both. How many like only bananas?
  24. 24.In a group of 49 children, 19 like mangoes, 30 like bananas and 10 like both. How many like neither of the two?
  25. 25.In a group of 41 children, 19 like mangoes, 27 like bananas and 10 like both. How many like at least one of the two?
  26. 26.In a group of 34 children, 15 enjoy drawing, 22 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 44 grown-ups, 20 drink tea, 23 drink coffee and 4 drink both. How many drink exactly one of the two?
  28. 28.In a group of 45 children, 31 play cricket, 24 play football and 11 play both. How many play neither of the two?
  29. 29.In a group of 24 children, 9 enjoy drawing, 9 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 33 children, 6 like mangoes, 15 like bananas and 3 like both. How many like neither of the two?
  31. 31.In a group of 35 children, 13 play chess, 18 play carrom and 5 play both. How many play at least one of the two?
  32. 32.In a group of 35 grown-ups, 16 drink tea, 23 drink coffee and 6 drink both. How many drink neither of the two?
  33. 33.In a group of 34 children, 22 play cricket, 16 play football and 9 play both. How many play only cricket?
  34. 34.In a group of 39 children, 20 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  35. 35.In a group of 31 children, 20 like mangoes, 17 like bananas and 8 like both. How many like at least one of the two?
  36. 36.In a group of 44 children, 17 play cricket, 20 play football and 7 play both. How many play exactly one of the two?
  37. 37.In a group of 40 children, 18 play chess, 14 play carrom and 4 play both. How many play only carrom?
  38. 38.In a group of 42 children, 14 play cricket, 24 play football and 10 play both. How many play exactly one of the two?
  39. 39.In a group of 45 children, 31 play chess, 16 play carrom and 11 play both. How many play only carrom?
  40. 40.In a group of 32 children, 18 like mangoes, 19 like bananas and 9 like both. How many like exactly one of the two?

Answer key

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

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