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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 257 · 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 36 grown-ups, 17 drink tea, 16 drink coffee and 11 drink both. How many drink exactly one of the two?
  2. 2.In a group of 21 children, 5 play chess, 11 play carrom and 2 play both. How many play only chess?
  3. 3.In a group of 26 children, 11 like mangoes, 11 like bananas and 2 like both. How many like neither of the two?
  4. 4.In a group of 19 children, 8 play cricket, 10 play football and 3 play both. How many play only football?
  5. 5.In a group of 36 grown-ups, 19 drink tea, 19 drink coffee and 10 drink both. How many drink only tea?
  6. 6.In a group of 44 children, 20 play cricket, 19 play football and 8 play both. How many play exactly one of the two?
  7. 7.In a group of 37 children, 16 like mangoes, 17 like bananas and 10 like both. How many like at least one of the two?
  8. 8.In a group of 24 children, 15 play chess, 10 play carrom and 3 play both. How many play only chess?
  9. 9.In a group of 59 children, 30 sing Hindi songs, 30 sing English songs and 10 sing both. How many sing at least one of the two?
  10. 10.In a group of 48 children, 21 play chess, 24 play carrom and 4 play both. How many play at least one of the two?
  11. 11.In a group of 39 grown-ups, 22 drink tea, 26 drink coffee and 12 drink both. How many drink at least one of the two?
  12. 12.In a group of 34 children, 12 play cricket, 24 play football and 6 play both. How many play only cricket?
  13. 13.In a group of 20 children, 10 enjoy drawing, 10 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  14. 14.In a group of 34 children, 11 sing Hindi songs, 25 sing English songs and 5 sing both. How many sing exactly one of the two?
  15. 15.In a group of 31 children, 9 play cricket, 15 play football and 3 play both. How many play only cricket?
  16. 16.In a group of 42 children, 20 sing Hindi songs, 18 sing English songs and 8 sing both. How many sing at least one of the two?
  17. 17.In a group of 50 children, 19 like mangoes, 24 like bananas and 8 like both. How many like only bananas?
  18. 18.In a group of 32 children, 11 enjoy drawing, 15 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  19. 19.In a group of 41 children, 25 play cricket, 19 play football and 6 play both. How many play exactly one of the two?
  20. 20.In a group of 37 children, 22 play chess, 21 play carrom and 7 play both. How many play only chess?
  21. 21.In a group of 27 children, 11 play cricket, 19 play football and 8 play both. How many play exactly one of the two?
  22. 22.In a group of 45 children, 21 enjoy drawing, 31 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 39 children, 21 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing neither of the two?
  24. 24.In a group of 44 children, 21 sing Hindi songs, 24 sing English songs and 5 sing both. How many sing neither of the two?
  25. 25.In a group of 41 children, 19 enjoy drawing, 21 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 38 children, 12 like mangoes, 24 like bananas and 5 like both. How many like neither of the two?
  27. 27.In a group of 42 children, 25 play cricket, 16 play football and 8 play both. How many play exactly one of the two?
  28. 28.In a group of 32 children, 16 play cricket, 18 play football and 11 play both. How many play at least one of the two?
  29. 29.In a group of 37 children, 20 like mangoes, 17 like bananas and 3 like both. How many like exactly one of the two?
  30. 30.In a group of 47 children, 25 play cricket, 21 play football and 8 play both. How many play only cricket?
  31. 31.In a group of 43 children, 22 play cricket, 16 play football and 9 play both. How many play exactly one of the two?
  32. 32.In a group of 38 children, 21 play cricket, 19 play football and 5 play both. How many play only cricket?
  33. 33.In a group of 37 children, 16 sing Hindi songs, 27 sing English songs and 10 sing both. How many sing exactly one of the two?
  34. 34.In a group of 34 grown-ups, 18 drink tea, 23 drink coffee and 11 drink both. How many drink only tea?
  35. 35.In a group of 30 children, 13 play cricket, 13 play football and 5 play both. How many play only football?
  36. 36.In a group of 38 children, 25 sing Hindi songs, 14 sing English songs and 6 sing both. How many sing only English songs?
  37. 37.In a group of 28 children, 17 enjoy drawing, 11 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  38. 38.In a group of 29 children, 13 play cricket, 11 play football and 5 play both. How many play only cricket?
  39. 39.In a group of 39 children, 24 play cricket, 24 play football and 12 play both. How many play only football?
  40. 40.In a group of 49 children, 19 like mangoes, 22 like bananas and 5 like both. How many like only mangoes?

Answer key

  1. 11
  2. 3
  3. 6
  4. 7
  5. 9
  6. 23
  7. 23
  8. 12
  9. 50
  10. 41
  11. 36
  12. 6
  13. 8
  14. 26
  15. 6
  16. 30
  17. 16
  18. 20
  19. 32
  20. 15
  21. 14
  22. 9
  23. 8
  24. 4
  25. 30
  26. 7
  27. 25
  28. 23
  29. 31
  30. 17
  31. 20
  32. 16
  33. 23
  34. 7
  35. 8
  36. 8
  37. 8
  38. 8
  39. 12
  40. 14

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