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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 692 · 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 23 grown-ups, 18 drink tea, 15 drink coffee and 11 drink both. How many drink only tea?
  2. 2.In a group of 34 children, 16 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing only Hindi songs?
  3. 3.In a group of 29 children, 22 sing Hindi songs, 11 sing English songs and 8 sing both. How many sing neither of the two?
  4. 4.In a group of 42 children, 21 play cricket, 20 play football and 2 play both. How many play only football?
  5. 5.In a group of 50 children, 23 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  6. 6.In a group of 41 children, 18 play cricket, 20 play football and 11 play both. How many play exactly one of the two?
  7. 7.In a group of 35 children, 20 like mangoes, 10 like bananas and 6 like both. How many like at least one of the two?
  8. 8.In a group of 26 children, 16 like mangoes, 20 like bananas and 11 like both. How many like only bananas?
  9. 9.In a group of 57 children, 23 sing Hindi songs, 25 sing English songs and 5 sing both. How many sing only English songs?
  10. 10.In a group of 15 children, 5 enjoy drawing, 11 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  11. 11.In a group of 18 grown-ups, 7 drink tea, 7 drink coffee and 4 drink both. How many drink only tea?
  12. 12.In a group of 36 grown-ups, 12 drink tea, 14 drink coffee and 5 drink both. How many drink neither of the two?
  13. 13.In a group of 45 children, 23 like mangoes, 17 like bananas and 3 like both. How many like only bananas?
  14. 14.In a group of 20 children, 8 play cricket, 8 play football and 5 play both. How many play only cricket?
  15. 15.In a group of 43 children, 13 enjoy drawing, 29 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  16. 16.In a group of 41 children, 27 like mangoes, 14 like bananas and 11 like both. How many like neither of the two?
  17. 17.In a group of 11 children, 7 play cricket, 6 play football and 3 play both. How many play exactly one of the two?
  18. 18.In a group of 25 grown-ups, 14 drink tea, 18 drink coffee and 11 drink both. How many drink at least one of the two?
  19. 19.In a group of 12 children, 6 play chess, 6 play carrom and 2 play both. How many play neither of the two?
  20. 20.In a group of 33 children, 25 like mangoes, 11 like bananas and 6 like both. How many like only mangoes?
  21. 21.In a group of 33 grown-ups, 20 drink tea, 20 drink coffee and 10 drink both. How many drink exactly one of the two?
  22. 22.In a group of 51 children, 20 play chess, 27 play carrom and 7 play both. How many play neither of the two?
  23. 23.In a group of 45 children, 16 like mangoes, 22 like bananas and 3 like both. How many like only mangoes?
  24. 24.In a group of 27 children, 9 play chess, 17 play carrom and 6 play both. How many play neither of the two?
  25. 25.In a group of 58 children, 28 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  26. 26.In a group of 40 children, 22 play cricket, 20 play football and 3 play both. How many play at least one of the two?
  27. 27.In a group of 36 grown-ups, 14 drink tea, 28 drink coffee and 8 drink both. How many drink neither of the two?
  28. 28.In a group of 41 children, 15 enjoy drawing, 21 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 30 children, 16 like mangoes, 14 like bananas and 3 like both. How many like at least one of the two?
  30. 30.In a group of 26 children, 16 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 55 children, 25 like mangoes, 25 like bananas and 5 like both. How many like at least one of the two?
  32. 32.In a group of 34 children, 18 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  33. 33.In a group of 34 children, 26 like mangoes, 11 like bananas and 7 like both. How many like neither of the two?
  34. 34.In a group of 33 children, 20 play cricket, 20 play football and 11 play both. How many play at least one of the two?
  35. 35.In a group of 39 children, 15 play chess, 22 play carrom and 11 play both. How many play exactly one of the two?
  36. 36.In a group of 22 children, 7 play cricket, 15 play football and 4 play both. How many play exactly one of the two?
  37. 37.In a group of 39 children, 24 enjoy drawing, 21 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  38. 38.In a group of 52 children, 17 enjoy drawing, 27 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  39. 39.In a group of 44 children, 29 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  40. 40.In a group of 40 children, 28 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing only English songs?

Answer key

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

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