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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 635 · 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 35 children, 24 like mangoes, 16 like bananas and 7 like both. How many like only bananas?
  2. 2.In a group of 25 children, 16 like mangoes, 13 like bananas and 10 like both. How many like at least one of the two?
  3. 3.In a group of 25 children, 12 like mangoes, 13 like bananas and 2 like both. How many like only bananas?
  4. 4.In a group of 34 children, 17 play chess, 25 play carrom and 9 play both. How many play only chess?
  5. 5.In a group of 41 grown-ups, 24 drink tea, 18 drink coffee and 6 drink both. How many drink exactly one of the two?
  6. 6.In a group of 37 children, 16 play cricket, 25 play football and 7 play both. How many play at least one of the two?
  7. 7.In a group of 40 children, 18 play cricket, 22 play football and 5 play both. How many play only cricket?
  8. 8.In a group of 36 children, 15 sing Hindi songs, 9 sing English songs and 2 sing both. How many sing only Hindi songs?
  9. 9.In a group of 31 children, 15 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing exactly one of the two?
  10. 10.In a group of 27 children, 10 like mangoes, 17 like bananas and 7 like both. How many like only bananas?
  11. 11.In a group of 51 children, 26 enjoy drawing, 21 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  12. 12.In a group of 38 children, 11 sing Hindi songs, 21 sing English songs and 4 sing both. How many sing at least one of the two?
  13. 13.In a group of 38 children, 17 play chess, 27 play carrom and 8 play both. How many play exactly one of the two?
  14. 14.In a group of 40 children, 11 like mangoes, 21 like bananas and 2 like both. How many like only bananas?
  15. 15.In a group of 42 children, 16 play cricket, 25 play football and 12 play both. How many play neither of the two?
  16. 16.In a group of 35 grown-ups, 13 drink tea, 24 drink coffee and 7 drink both. How many drink neither of the two?
  17. 17.In a group of 25 grown-ups, 15 drink tea, 20 drink coffee and 12 drink both. How many drink neither of the two?
  18. 18.In a group of 41 children, 20 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing exactly one of the two?
  19. 19.In a group of 40 children, 21 like mangoes, 19 like bananas and 3 like both. How many like only bananas?
  20. 20.In a group of 48 children, 21 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 30 children, 14 play chess, 17 play carrom and 2 play both. How many play only carrom?
  22. 22.In a group of 26 children, 17 play cricket, 12 play football and 4 play both. How many play only football?
  23. 23.In a group of 47 children, 23 sing Hindi songs, 18 sing English songs and 5 sing both. How many sing neither of the two?
  24. 24.In a group of 47 children, 29 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  25. 25.In a group of 37 grown-ups, 21 drink tea, 18 drink coffee and 4 drink both. How many drink neither of the two?
  26. 26.In a group of 32 children, 24 play chess, 17 play carrom and 10 play both. How many play at least one of the two?
  27. 27.In a group of 24 children, 13 play cricket, 14 play football and 4 play both. How many play exactly one of the two?
  28. 28.In a group of 53 children, 30 play cricket, 21 play football and 10 play both. How many play at least one of the two?
  29. 29.In a group of 37 children, 8 like mangoes, 18 like bananas and 3 like both. How many like neither of the two?
  30. 30.In a group of 37 children, 15 play chess, 27 play carrom and 8 play both. How many play at least one of the two?
  31. 31.In a group of 32 children, 9 play chess, 14 play carrom and 5 play both. How many play at least one of the two?
  32. 32.In a group of 44 children, 23 play cricket, 21 play football and 3 play both. How many play only cricket?
  33. 33.In a group of 58 children, 25 enjoy drawing, 24 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 36 children, 18 like mangoes, 9 like bananas and 6 like both. How many like at least one of the two?
  35. 35.In a group of 25 children, 8 like mangoes, 9 like bananas and 2 like both. How many like only mangoes?
  36. 36.In a group of 44 children, 21 sing Hindi songs, 20 sing English songs and 11 sing both. How many sing at least one of the two?
  37. 37.In a group of 49 children, 16 play chess, 30 play carrom and 11 play both. How many play neither of the two?
  38. 38.In a group of 23 children, 17 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 28 children, 12 like mangoes, 12 like bananas and 8 like both. How many like at least one of the two?
  40. 40.In a group of 28 children, 13 sing Hindi songs, 16 sing English songs and 5 sing both. How many sing neither of the two?

Answer key

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

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