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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 429 · 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 41 children, 18 sing Hindi songs, 20 sing English songs and 2 sing both. How many sing only Hindi songs?
  2. 2.In a group of 39 children, 16 play cricket, 16 play football and 7 play both. How many play neither of the two?
  3. 3.In a group of 23 children, 5 sing Hindi songs, 11 sing English songs and 2 sing both. How many sing only Hindi songs?
  4. 4.In a group of 48 children, 18 sing Hindi songs, 25 sing English songs and 9 sing both. How many sing only English songs?
  5. 5.In a group of 33 children, 11 play cricket, 11 play football and 4 play both. How many play exactly one of the two?
  6. 6.In a group of 29 children, 24 like mangoes, 15 like bananas and 11 like both. How many like exactly one of the two?
  7. 7.In a group of 33 grown-ups, 11 drink tea, 24 drink coffee and 4 drink both. How many drink only coffee?
  8. 8.In a group of 50 children, 26 play cricket, 26 play football and 9 play both. How many play exactly one of the two?
  9. 9.In a group of 32 grown-ups, 10 drink tea, 18 drink coffee and 4 drink both. How many drink neither of the two?
  10. 10.In a group of 64 children, 30 play cricket, 31 play football and 11 play both. How many play at least one of the two?
  11. 11.In a group of 37 children, 21 like mangoes, 11 like bananas and 3 like both. How many like neither of the two?
  12. 12.In a group of 48 children, 25 like mangoes, 21 like bananas and 10 like both. How many like only bananas?
  13. 13.In a group of 33 children, 13 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing only English songs?
  14. 14.In a group of 36 children, 10 play cricket, 16 play football and 5 play both. How many play only football?
  15. 15.In a group of 39 children, 17 like mangoes, 21 like bananas and 2 like both. How many like only mangoes?
  16. 16.In a group of 36 children, 15 play chess, 19 play carrom and 8 play both. How many play exactly one of the two?
  17. 17.In a group of 51 children, 19 like mangoes, 24 like bananas and 6 like both. How many like exactly one of the two?
  18. 18.In a group of 44 children, 21 play cricket, 23 play football and 10 play both. How many play exactly one of the two?
  19. 19.In a group of 37 children, 22 sing Hindi songs, 18 sing English songs and 4 sing both. How many sing at least one of the two?
  20. 20.In a group of 25 children, 15 like mangoes, 19 like bananas and 10 like both. How many like exactly one of the two?
  21. 21.In a group of 39 grown-ups, 32 drink tea, 17 drink coffee and 12 drink both. How many drink exactly one of the two?
  22. 22.In a group of 40 children, 17 sing Hindi songs, 23 sing English songs and 3 sing both. How many sing exactly one of the two?
  23. 23.In a group of 45 children, 20 like mangoes, 27 like bananas and 11 like both. How many like only mangoes?
  24. 24.In a group of 31 children, 26 play chess, 13 play carrom and 9 play both. How many play only chess?
  25. 25.In a group of 25 children, 15 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  26. 26.In a group of 19 children, 6 play chess, 12 play carrom and 3 play both. How many play only carrom?
  27. 27.In a group of 28 children, 21 play chess, 5 play carrom and 2 play both. How many play only chess?
  28. 28.In a group of 52 children, 25 play chess, 18 play carrom and 6 play both. How many play at least one of the two?
  29. 29.In a group of 24 children, 12 play chess, 15 play carrom and 6 play both. How many play neither of the two?
  30. 30.In a group of 41 children, 15 play cricket, 30 play football and 12 play both. How many play only cricket?
  31. 31.In a group of 39 children, 24 sing Hindi songs, 14 sing English songs and 6 sing both. How many sing only Hindi songs?
  32. 32.In a group of 29 grown-ups, 20 drink tea, 13 drink coffee and 10 drink both. How many drink only coffee?
  33. 33.In a group of 41 children, 20 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing only English songs?
  34. 34.In a group of 30 children, 19 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  35. 35.In a group of 36 children, 8 enjoy drawing, 18 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  36. 36.In a group of 32 children, 16 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing only English songs?
  37. 37.In a group of 42 grown-ups, 17 drink tea, 26 drink coffee and 11 drink both. How many drink only tea?
  38. 38.In a group of 31 children, 19 like mangoes, 12 like bananas and 3 like both. How many like exactly one of the two?
  39. 39.In a group of 40 children, 24 like mangoes, 11 like bananas and 6 like both. How many like only bananas?
  40. 40.In a group of 46 children, 24 play cricket, 19 play football and 12 play both. How many play neither of the two?

Answer key

  1. 16
  2. 14
  3. 3
  4. 16
  5. 14
  6. 17
  7. 20
  8. 34
  9. 8
  10. 50
  11. 8
  12. 11
  13. 7
  14. 11
  15. 15
  16. 18
  17. 31
  18. 24
  19. 36
  20. 14
  21. 25
  22. 34
  23. 9
  24. 17
  25. 7
  26. 9
  27. 19
  28. 37
  29. 3
  30. 3
  31. 18
  32. 3
  33. 18
  34. 11
  35. 15
  36. 6
  37. 6
  38. 25
  39. 5
  40. 15

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