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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 80 · 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, 23 play cricket, 30 play football and 12 play both. How many play exactly one of the two?
  2. 2.In a group of 40 children, 18 play chess, 23 play carrom and 12 play both. How many play exactly one of the two?
  3. 3.In a group of 30 children, 17 like mangoes, 20 like bananas and 8 like both. How many like only mangoes?
  4. 4.In a group of 38 children, 13 enjoy drawing, 17 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 51 children, 20 play cricket, 32 play football and 12 play both. How many play neither of the two?
  6. 6.In a group of 33 children, 13 like mangoes, 11 like bananas and 2 like both. How many like only mangoes?
  7. 7.In a group of 38 grown-ups, 20 drink tea, 11 drink coffee and 8 drink both. How many drink neither of the two?
  8. 8.In a group of 29 children, 8 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing exactly one of the two?
  9. 9.In a group of 26 children, 13 play cricket, 13 play football and 7 play both. How many play only cricket?
  10. 10.In a group of 26 children, 9 like mangoes, 12 like bananas and 4 like both. How many like only mangoes?
  11. 11.In a group of 26 children, 7 like mangoes, 18 like bananas and 2 like both. How many like only bananas?
  12. 12.In a group of 36 children, 15 enjoy drawing, 11 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  13. 13.In a group of 36 children, 12 sing Hindi songs, 15 sing English songs and 6 sing both. How many sing exactly one of the two?
  14. 14.In a group of 33 children, 15 enjoy drawing, 22 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  15. 15.In a group of 36 grown-ups, 24 drink tea, 9 drink coffee and 6 drink both. How many drink only tea?
  16. 16.In a group of 26 children, 12 play chess, 13 play carrom and 9 play both. How many play at least one of the two?
  17. 17.In a group of 47 children, 19 play chess, 27 play carrom and 12 play both. How many play neither of the two?
  18. 18.In a group of 50 children, 27 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  19. 19.In a group of 33 children, 22 enjoy drawing, 19 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  20. 20.In a group of 34 children, 15 like mangoes, 25 like bananas and 9 like both. How many like neither of the two?
  21. 21.In a group of 32 children, 21 play cricket, 17 play football and 8 play both. How many play neither of the two?
  22. 22.In a group of 25 grown-ups, 9 drink tea, 8 drink coffee and 3 drink both. How many drink neither of the two?
  23. 23.In a group of 35 children, 12 sing Hindi songs, 20 sing English songs and 5 sing both. How many sing only Hindi songs?
  24. 24.In a group of 43 children, 17 enjoy drawing, 14 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  25. 25.In a group of 45 grown-ups, 31 drink tea, 21 drink coffee and 11 drink both. How many drink neither of the two?
  26. 26.In a group of 41 children, 18 like mangoes, 11 like bananas and 2 like both. How many like neither of the two?
  27. 27.In a group of 31 children, 12 play cricket, 11 play football and 6 play both. How many play exactly one of the two?
  28. 28.In a group of 51 children, 26 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 27 children, 16 play cricket, 15 play football and 8 play both. How many play only cricket?
  30. 30.In a group of 48 children, 24 play cricket, 21 play football and 12 play both. How many play neither of the two?
  31. 31.In a group of 50 children, 24 enjoy drawing, 31 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  32. 32.In a group of 35 children, 16 play chess, 15 play carrom and 9 play both. How many play only carrom?
  33. 33.In a group of 46 grown-ups, 25 drink tea, 32 drink coffee and 12 drink both. How many drink at least one of the two?
  34. 34.In a group of 35 children, 22 play chess, 21 play carrom and 10 play both. How many play at least one of the two?
  35. 35.In a group of 30 children, 25 like mangoes, 13 like bananas and 10 like both. How many like at least one of the two?
  36. 36.In a group of 34 children, 26 enjoy drawing, 13 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 37 children, 18 like mangoes, 22 like bananas and 6 like both. How many like exactly one of the two?
  38. 38.In a group of 41 children, 19 sing Hindi songs, 14 sing English songs and 7 sing both. How many sing exactly one of the two?
  39. 39.In a group of 29 children, 12 play cricket, 9 play football and 3 play both. How many play only football?
  40. 40.In a group of 38 children, 28 enjoy drawing, 16 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?

Answer key

  1. 29
  2. 17
  3. 9
  4. 7
  5. 11
  6. 11
  7. 15
  8. 24
  9. 6
  10. 5
  11. 16
  12. 8
  13. 15
  14. 13
  15. 18
  16. 16
  17. 13
  18. 36
  19. 2
  20. 3
  21. 2
  22. 11
  23. 7
  24. 15
  25. 4
  26. 14
  27. 11
  28. 14
  29. 8
  30. 15
  31. 12
  32. 6
  33. 45
  34. 33
  35. 28
  36. 16
  37. 28
  38. 19
  39. 6
  40. 20

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