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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 617 · 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 45 children, 27 play chess, 21 play carrom and 9 play both. How many play only carrom?
  2. 2.In a group of 30 children, 10 play chess, 22 play carrom and 5 play both. How many play at least one of the two?
  3. 3.In a group of 27 grown-ups, 12 drink tea, 11 drink coffee and 2 drink both. How many drink only coffee?
  4. 4.In a group of 28 children, 9 play cricket, 12 play football and 6 play both. How many play only football?
  5. 5.In a group of 26 children, 14 play chess, 7 play carrom and 3 play both. How many play neither of the two?
  6. 6.In a group of 34 children, 28 play cricket, 13 play football and 9 play both. How many play neither of the two?
  7. 7.In a group of 47 children, 25 enjoy drawing, 24 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 34 children, 19 enjoy drawing, 12 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  9. 9.In a group of 34 children, 10 enjoy drawing, 17 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 35 grown-ups, 13 drink tea, 23 drink coffee and 5 drink both. How many drink only tea?
  11. 11.In a group of 40 children, 12 play chess, 28 play carrom and 9 play both. How many play exactly one of the two?
  12. 12.In a group of 32 children, 20 like mangoes, 16 like bananas and 7 like both. How many like only mangoes?
  13. 13.In a group of 26 grown-ups, 13 drink tea, 19 drink coffee and 10 drink both. How many drink exactly one of the two?
  14. 14.In a group of 36 children, 16 sing Hindi songs, 9 sing English songs and 2 sing both. How many sing only English songs?
  15. 15.In a group of 53 children, 24 like mangoes, 26 like bananas and 7 like both. How many like only mangoes?
  16. 16.In a group of 39 children, 19 sing Hindi songs, 19 sing English songs and 5 sing both. How many sing neither of the two?
  17. 17.In a group of 35 children, 13 play cricket, 26 play football and 7 play both. How many play only football?
  18. 18.In a group of 40 children, 25 play cricket, 18 play football and 9 play both. How many play at least one of the two?
  19. 19.In a group of 49 children, 20 play cricket, 28 play football and 8 play both. How many play only cricket?
  20. 20.In a group of 52 children, 25 play cricket, 27 play football and 8 play both. How many play only cricket?
  21. 21.In a group of 31 children, 12 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  22. 22.In a group of 39 children, 19 play cricket, 26 play football and 7 play both. How many play only football?
  23. 23.In a group of 43 children, 22 play cricket, 25 play football and 5 play both. How many play only football?
  24. 24.In a group of 44 children, 19 sing Hindi songs, 18 sing English songs and 2 sing both. How many sing at least one of the two?
  25. 25.In a group of 41 children, 13 play cricket, 23 play football and 7 play both. How many play neither of the two?
  26. 26.In a group of 40 children, 23 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing neither of the two?
  27. 27.In a group of 31 children, 22 like mangoes, 14 like bananas and 8 like both. How many like only bananas?
  28. 28.In a group of 49 children, 23 like mangoes, 23 like bananas and 5 like both. How many like only mangoes?
  29. 29.In a group of 17 children, 8 sing Hindi songs, 7 sing English songs and 3 sing both. How many sing at least one of the two?
  30. 30.In a group of 37 children, 11 play cricket, 21 play football and 8 play both. How many play neither of the two?
  31. 31.In a group of 40 children, 23 play cricket, 16 play football and 9 play both. How many play at least one of the two?
  32. 32.In a group of 35 children, 10 play chess, 23 play carrom and 4 play both. How many play at least one of the two?
  33. 33.In a group of 25 children, 14 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 38 children, 13 play cricket, 22 play football and 2 play both. How many play only cricket?
  35. 35.In a group of 31 grown-ups, 19 drink tea, 21 drink coffee and 10 drink both. How many drink exactly one of the two?
  36. 36.In a group of 32 children, 17 like mangoes, 11 like bananas and 6 like both. How many like only mangoes?
  37. 37.In a group of 42 children, 22 play cricket, 13 play football and 7 play both. How many play only cricket?
  38. 38.In a group of 41 children, 16 like mangoes, 17 like bananas and 7 like both. How many like only bananas?
  39. 39.In a group of 43 children, 23 play chess, 15 play carrom and 3 play both. How many play neither of the two?
  40. 40.In a group of 50 children, 25 play cricket, 19 play football and 7 play both. How many play neither of the two?

Answer key

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

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