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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 191 · 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 34 grown-ups, 21 drink tea, 18 drink coffee and 9 drink both. How many drink neither of the two?
  2. 2.In a group of 36 children, 9 sing Hindi songs, 23 sing English songs and 3 sing both. How many sing at least one of the two?
  3. 3.In a group of 29 children, 10 like mangoes, 15 like bananas and 5 like both. How many like neither of the two?
  4. 4.In a group of 37 children, 20 play cricket, 16 play football and 3 play both. How many play only cricket?
  5. 5.In a group of 34 children, 13 play cricket, 24 play football and 7 play both. How many play at least one of the two?
  6. 6.In a group of 28 grown-ups, 18 drink tea, 11 drink coffee and 3 drink both. How many drink only tea?
  7. 7.In a group of 30 children, 18 play cricket, 11 play football and 2 play both. How many play only cricket?
  8. 8.In a group of 37 children, 19 play chess, 16 play carrom and 8 play both. How many play only chess?
  9. 9.In a group of 31 children, 16 play chess, 15 play carrom and 7 play both. How many play only carrom?
  10. 10.In a group of 25 children, 9 enjoy drawing, 7 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 29 children, 8 play cricket, 14 play football and 5 play both. How many play exactly one of the two?
  12. 12.In a group of 43 children, 30 sing Hindi songs, 13 sing English songs and 10 sing both. How many sing only Hindi songs?
  13. 13.In a group of 23 children, 11 sing Hindi songs, 11 sing English songs and 2 sing both. How many sing only English songs?
  14. 14.In a group of 21 children, 11 enjoy drawing, 12 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 22 children, 11 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  16. 16.In a group of 33 children, 20 play cricket, 13 play football and 4 play both. How many play only football?
  17. 17.In a group of 49 children, 21 play cricket, 26 play football and 9 play both. How many play exactly one of the two?
  18. 18.In a group of 31 children, 12 enjoy drawing, 24 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  19. 19.In a group of 44 children, 30 enjoy drawing, 22 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  20. 20.In a group of 27 children, 11 sing Hindi songs, 14 sing English songs and 8 sing both. How many sing only Hindi songs?
  21. 21.In a group of 31 children, 13 play cricket, 17 play football and 4 play both. How many play only cricket?
  22. 22.In a group of 34 children, 21 like mangoes, 14 like bananas and 11 like both. How many like exactly one of the two?
  23. 23.In a group of 34 children, 15 like mangoes, 12 like bananas and 4 like both. How many like at least one of the two?
  24. 24.In a group of 31 children, 13 play cricket, 12 play football and 6 play both. How many play only cricket?
  25. 25.In a group of 31 children, 8 play cricket, 14 play football and 3 play both. How many play at least one of the two?
  26. 26.In a group of 44 children, 26 enjoy drawing, 24 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 50 children, 21 play chess, 20 play carrom and 3 play both. How many play exactly one of the two?
  28. 28.In a group of 40 children, 11 like mangoes, 21 like bananas and 2 like both. How many like at least one of the two?
  29. 29.In a group of 52 children, 23 sing Hindi songs, 31 sing English songs and 12 sing both. How many sing at least one of the two?
  30. 30.In a group of 42 children, 21 play chess, 26 play carrom and 9 play both. How many play at least one of the two?
  31. 31.In a group of 50 children, 23 play cricket, 17 play football and 5 play both. How many play exactly one of the two?
  32. 32.In a group of 44 children, 25 enjoy drawing, 13 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 36 children, 16 play cricket, 26 play football and 8 play both. How many play neither of the two?
  34. 34.In a group of 36 children, 15 like mangoes, 17 like bananas and 10 like both. How many like at least one of the two?
  35. 35.In a group of 26 children, 13 play cricket, 11 play football and 8 play both. How many play exactly one of the two?
  36. 36.In a group of 37 children, 25 sing Hindi songs, 20 sing English songs and 10 sing both. How many sing exactly one of the two?
  37. 37.In a group of 31 children, 16 play chess, 19 play carrom and 6 play both. How many play only chess?
  38. 38.In a group of 49 children, 17 play cricket, 29 play football and 10 play both. How many play only football?
  39. 39.In a group of 48 grown-ups, 27 drink tea, 25 drink coffee and 7 drink both. How many drink only coffee?
  40. 40.In a group of 47 children, 19 like mangoes, 24 like bananas and 11 like both. How many like only mangoes?

Answer key

  1. 4
  2. 29
  3. 9
  4. 17
  5. 30
  6. 15
  7. 16
  8. 11
  9. 8
  10. 6
  11. 12
  12. 20
  13. 9
  14. 3
  15. 13
  16. 9
  17. 29
  18. 17
  19. 12
  20. 3
  21. 9
  22. 13
  23. 23
  24. 7
  25. 19
  26. 17
  27. 35
  28. 30
  29. 42
  30. 38
  31. 30
  32. 32
  33. 2
  34. 22
  35. 8
  36. 25
  37. 10
  38. 19
  39. 18
  40. 8

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