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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 292 · 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 32 children, 21 play cricket, 12 play football and 6 play both. How many play only football?
  2. 2.In a group of 24 children, 10 like mangoes, 7 like bananas and 4 like both. How many like only mangoes?
  3. 3.In a group of 43 children, 22 enjoy drawing, 22 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 29 children, 20 enjoy drawing, 6 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  5. 5.In a group of 31 children, 18 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  6. 6.In a group of 27 children, 9 like mangoes, 16 like bananas and 3 like both. How many like exactly one of the two?
  7. 7.In a group of 23 children, 15 sing Hindi songs, 11 sing English songs and 8 sing both. How many sing neither of the two?
  8. 8.In a group of 42 grown-ups, 21 drink tea, 27 drink coffee and 11 drink both. How many drink only tea?
  9. 9.In a group of 47 children, 25 play chess, 22 play carrom and 10 play both. How many play only chess?
  10. 10.In a group of 29 children, 23 play cricket, 7 play football and 4 play both. How many play only football?
  11. 11.In a group of 42 children, 25 sing Hindi songs, 17 sing English songs and 8 sing both. How many sing only Hindi songs?
  12. 12.In a group of 35 children, 27 play cricket, 14 play football and 10 play both. How many play at least one of the two?
  13. 13.In a group of 41 children, 18 play chess, 27 play carrom and 11 play both. How many play only carrom?
  14. 14.In a group of 28 children, 13 enjoy drawing, 18 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  15. 15.In a group of 44 children, 15 play cricket, 23 play football and 9 play both. How many play exactly one of the two?
  16. 16.In a group of 40 children, 19 play cricket, 21 play football and 4 play both. How many play neither of the two?
  17. 17.In a group of 47 children, 24 enjoy drawing, 22 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  18. 18.In a group of 16 children, 5 play cricket, 9 play football and 2 play both. How many play only cricket?
  19. 19.In a group of 34 children, 14 sing Hindi songs, 12 sing English songs and 5 sing both. How many sing neither of the two?
  20. 20.In a group of 36 children, 14 like mangoes, 9 like bananas and 2 like both. How many like only bananas?
  21. 21.In a group of 27 children, 7 sing Hindi songs, 20 sing English songs and 4 sing both. How many sing neither of the two?
  22. 22.In a group of 38 children, 28 enjoy drawing, 12 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 26 children, 10 enjoy drawing, 9 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 30 children, 15 play chess, 15 play carrom and 10 play both. How many play only carrom?
  25. 25.In a group of 45 children, 14 like mangoes, 30 like bananas and 10 like both. How many like exactly one of the two?
  26. 26.In a group of 41 children, 21 play chess, 15 play carrom and 4 play both. How many play exactly one of the two?
  27. 27.In a group of 43 grown-ups, 22 drink tea, 14 drink coffee and 6 drink both. How many drink exactly one of the two?
  28. 28.In a group of 44 children, 27 sing Hindi songs, 15 sing English songs and 8 sing both. How many sing only English songs?
  29. 29.In a group of 30 children, 15 like mangoes, 10 like bananas and 5 like both. How many like only bananas?
  30. 30.In a group of 50 children, 22 like mangoes, 20 like bananas and 3 like both. How many like only mangoes?
  31. 31.In a group of 36 children, 21 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing only Hindi songs?
  32. 32.In a group of 45 children, 29 sing Hindi songs, 22 sing English songs and 11 sing both. How many sing at least one of the two?
  33. 33.In a group of 31 grown-ups, 11 drink tea, 10 drink coffee and 3 drink both. How many drink at least one of the two?
  34. 34.In a group of 33 children, 12 play cricket, 16 play football and 8 play both. How many play neither of the two?
  35. 35.In a group of 25 children, 10 play chess, 13 play carrom and 7 play both. How many play at least one of the two?
  36. 36.In a group of 50 grown-ups, 17 drink tea, 20 drink coffee and 2 drink both. How many drink only tea?
  37. 37.In a group of 33 grown-ups, 20 drink tea, 13 drink coffee and 8 drink both. How many drink exactly one of the two?
  38. 38.In a group of 39 children, 15 sing Hindi songs, 16 sing English songs and 5 sing both. How many sing at least one of the two?
  39. 39.In a group of 36 children, 20 play cricket, 21 play football and 8 play both. How many play neither of the two?
  40. 40.In a group of 59 children, 26 like mangoes, 31 like bananas and 12 like both. How many like only bananas?

Answer key

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

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