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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 12 · 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 28 children, 8 play chess, 7 play carrom and 2 play both. How many play only chess?
  2. 2.In a group of 35 children, 17 sing Hindi songs, 27 sing English songs and 10 sing both. How many sing only Hindi songs?
  3. 3.In a group of 30 children, 16 sing Hindi songs, 16 sing English songs and 10 sing both. How many sing at least one of the two?
  4. 4.In a group of 33 children, 8 sing Hindi songs, 23 sing English songs and 4 sing both. How many sing at least one of the two?
  5. 5.In a group of 42 grown-ups, 15 drink tea, 27 drink coffee and 7 drink both. How many drink at least one of the two?
  6. 6.In a group of 47 children, 25 play cricket, 14 play football and 6 play both. How many play neither of the two?
  7. 7.In a group of 19 children, 14 like mangoes, 6 like bananas and 2 like both. How many like only bananas?
  8. 8.In a group of 28 children, 23 like mangoes, 13 like bananas and 10 like both. How many like only mangoes?
  9. 9.In a group of 25 grown-ups, 7 drink tea, 13 drink coffee and 3 drink both. How many drink exactly one of the two?
  10. 10.In a group of 40 children, 21 like mangoes, 15 like bananas and 7 like both. How many like at least one of the two?
  11. 11.In a group of 35 grown-ups, 22 drink tea, 7 drink coffee and 2 drink both. How many drink only tea?
  12. 12.In a group of 30 children, 8 enjoy drawing, 22 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  13. 13.In a group of 36 children, 12 sing Hindi songs, 22 sing English songs and 8 sing both. How many sing only English songs?
  14. 14.In a group of 42 children, 16 play cricket, 23 play football and 7 play both. How many play exactly one of the two?
  15. 15.In a group of 34 children, 19 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  16. 16.In a group of 32 children, 23 like mangoes, 14 like bananas and 6 like both. How many like neither of the two?
  17. 17.In a group of 38 children, 20 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 25 children, 15 play cricket, 13 play football and 10 play both. How many play only cricket?
  19. 19.In a group of 51 children, 22 play chess, 23 play carrom and 7 play both. How many play only chess?
  20. 20.In a group of 26 children, 17 sing Hindi songs, 17 sing English songs and 10 sing both. How many sing only English songs?
  21. 21.In a group of 44 children, 31 like mangoes, 24 like bananas and 12 like both. How many like only mangoes?
  22. 22.In a group of 43 children, 18 play cricket, 19 play football and 4 play both. How many play only football?
  23. 23.In a group of 19 children, 12 play chess, 7 play carrom and 3 play both. How many play at least one of the two?
  24. 24.In a group of 20 children, 10 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  25. 25.In a group of 38 children, 17 like mangoes, 22 like bananas and 4 like both. How many like only mangoes?
  26. 26.In a group of 25 grown-ups, 12 drink tea, 16 drink coffee and 5 drink both. How many drink only coffee?
  27. 27.In a group of 46 children, 20 play cricket, 16 play football and 4 play both. How many play neither of the two?
  28. 28.In a group of 32 children, 12 play cricket, 16 play football and 7 play both. How many play neither of the two?
  29. 29.In a group of 41 children, 24 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  30. 30.In a group of 27 grown-ups, 13 drink tea, 6 drink coffee and 3 drink both. How many drink only coffee?
  31. 31.In a group of 49 children, 17 enjoy drawing, 25 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  32. 32.In a group of 23 children, 10 play cricket, 11 play football and 3 play both. How many play only football?
  33. 33.In a group of 50 children, 31 play cricket, 19 play football and 11 play both. How many play exactly one of the two?
  34. 34.In a group of 21 children, 8 like mangoes, 10 like bananas and 5 like both. How many like only mangoes?
  35. 35.In a group of 24 children, 8 like mangoes, 7 like bananas and 3 like both. How many like only bananas?
  36. 36.In a group of 39 children, 11 sing Hindi songs, 22 sing English songs and 5 sing both. How many sing only Hindi songs?
  37. 37.In a group of 18 children, 13 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  38. 38.In a group of 37 children, 17 like mangoes, 11 like bananas and 2 like both. How many like neither of the two?
  39. 39.In a group of 53 children, 27 play chess, 26 play carrom and 9 play both. How many play neither of the two?
  40. 40.In a group of 28 children, 7 play chess, 14 play carrom and 2 play both. How many play only chess?

Answer key

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

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