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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 575 · 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 38 children, 21 like mangoes, 9 like bananas and 6 like both. How many like at least one of the two?
  2. 2.In a group of 29 children, 12 enjoy drawing, 19 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  3. 3.In a group of 49 children, 20 like mangoes, 23 like bananas and 5 like both. How many like at least one of the two?
  4. 4.In a group of 35 children, 17 play cricket, 22 play football and 11 play both. How many play exactly one of the two?
  5. 5.In a group of 42 children, 25 sing Hindi songs, 23 sing English songs and 9 sing both. How many sing only Hindi songs?
  6. 6.In a group of 26 grown-ups, 8 drink tea, 14 drink coffee and 2 drink both. How many drink neither of the two?
  7. 7.In a group of 40 children, 10 like mangoes, 25 like bananas and 6 like both. How many like only mangoes?
  8. 8.In a group of 32 children, 13 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  9. 9.In a group of 31 children, 14 like mangoes, 10 like bananas and 5 like both. How many like at least one of the two?
  10. 10.In a group of 40 children, 8 sing Hindi songs, 21 sing English songs and 3 sing both. How many sing only Hindi songs?
  11. 11.In a group of 36 children, 18 sing Hindi songs, 24 sing English songs and 10 sing both. How many sing only English songs?
  12. 12.In a group of 23 children, 10 play chess, 7 play carrom and 3 play both. How many play only carrom?
  13. 13.In a group of 43 children, 15 enjoy drawing, 25 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  14. 14.In a group of 34 children, 11 play chess, 23 play carrom and 3 play both. How many play exactly one of the two?
  15. 15.In a group of 37 children, 7 play chess, 20 play carrom and 3 play both. How many play at least one of the two?
  16. 16.In a group of 21 children, 11 like mangoes, 10 like bananas and 5 like both. How many like only bananas?
  17. 17.In a group of 40 children, 23 play cricket, 12 play football and 6 play both. How many play at least one of the two?
  18. 18.In a group of 58 children, 25 enjoy drawing, 29 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  19. 19.In a group of 44 children, 24 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  20. 20.In a group of 32 children, 13 sing Hindi songs, 27 sing English songs and 10 sing both. How many sing exactly one of the two?
  21. 21.In a group of 38 children, 22 like mangoes, 15 like bananas and 10 like both. How many like only mangoes?
  22. 22.In a group of 36 children, 20 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  23. 23.In a group of 51 grown-ups, 20 drink tea, 29 drink coffee and 9 drink both. How many drink neither of the two?
  24. 24.In a group of 31 children, 15 play cricket, 10 play football and 2 play both. How many play only cricket?
  25. 25.In a group of 25 children, 6 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing exactly one of the two?
  26. 26.In a group of 37 children, 29 play chess, 12 play carrom and 9 play both. How many play exactly one of the two?
  27. 27.In a group of 40 grown-ups, 20 drink tea, 29 drink coffee and 10 drink both. How many drink at least one of the two?
  28. 28.In a group of 32 children, 15 like mangoes, 17 like bananas and 4 like both. How many like only mangoes?
  29. 29.In a group of 27 children, 14 like mangoes, 17 like bananas and 11 like both. How many like only mangoes?
  30. 30.In a group of 31 children, 11 enjoy drawing, 11 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  31. 31.In a group of 31 children, 8 enjoy drawing, 23 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  32. 32.In a group of 26 children, 8 sing Hindi songs, 15 sing English songs and 5 sing both. How many sing only Hindi songs?
  33. 33.In a group of 39 children, 14 like mangoes, 26 like bananas and 8 like both. How many like exactly one of the two?
  34. 34.In a group of 26 children, 17 like mangoes, 11 like bananas and 3 like both. How many like only bananas?
  35. 35.In a group of 47 children, 28 play chess, 22 play carrom and 11 play both. How many play only carrom?
  36. 36.In a group of 41 children, 26 play chess, 19 play carrom and 12 play both. How many play only chess?
  37. 37.In a group of 42 children, 9 play cricket, 21 play football and 2 play both. How many play only football?
  38. 38.In a group of 13 children, 5 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  39. 39.In a group of 23 children, 18 like mangoes, 6 like bananas and 2 like both. How many like at least one of the two?
  40. 40.In a group of 35 children, 22 enjoy drawing, 13 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?

Answer key

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

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