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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 438 · 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 39 grown-ups, 11 drink tea, 23 drink coffee and 3 drink both. How many drink at least one of the two?
  2. 2.In a group of 46 children, 23 sing Hindi songs, 21 sing English songs and 3 sing both. How many sing only English songs?
  3. 3.In a group of 41 children, 26 sing Hindi songs, 26 sing English songs and 12 sing both. How many sing neither of the two?
  4. 4.In a group of 29 children, 16 sing Hindi songs, 13 sing English songs and 9 sing both. How many sing at least one of the two?
  5. 5.In a group of 36 children, 15 like mangoes, 26 like bananas and 8 like both. How many like at least one of the two?
  6. 6.In a group of 30 children, 17 play cricket, 15 play football and 4 play both. How many play exactly one of the two?
  7. 7.In a group of 44 children, 18 like mangoes, 28 like bananas and 9 like both. How many like only mangoes?
  8. 8.In a group of 25 children, 6 play chess, 18 play carrom and 3 play both. How many play only carrom?
  9. 9.In a group of 52 children, 23 enjoy drawing, 24 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  10. 10.In a group of 48 children, 19 play chess, 24 play carrom and 6 play both. How many play only chess?
  11. 11.In a group of 23 grown-ups, 12 drink tea, 13 drink coffee and 7 drink both. How many drink only tea?
  12. 12.In a group of 33 children, 12 play chess, 23 play carrom and 6 play both. How many play only chess?
  13. 13.In a group of 42 children, 30 play cricket, 20 play football and 10 play both. How many play at least one of the two?
  14. 14.In a group of 50 children, 26 play chess, 30 play carrom and 11 play both. How many play neither of the two?
  15. 15.In a group of 29 children, 21 play chess, 16 play carrom and 9 play both. How many play neither of the two?
  16. 16.In a group of 40 children, 31 sing Hindi songs, 15 sing English songs and 11 sing both. How many sing only English songs?
  17. 17.In a group of 32 children, 15 play cricket, 16 play football and 4 play both. How many play only cricket?
  18. 18.In a group of 44 children, 23 play cricket, 31 play football and 12 play both. How many play exactly one of the two?
  19. 19.In a group of 37 children, 16 like mangoes, 26 like bananas and 7 like both. How many like only bananas?
  20. 20.In a group of 24 children, 16 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 40 children, 11 like mangoes, 18 like bananas and 4 like both. How many like neither of the two?
  22. 22.In a group of 36 children, 14 like mangoes, 11 like bananas and 4 like both. How many like exactly one of the two?
  23. 23.In a group of 44 children, 29 sing Hindi songs, 22 sing English songs and 9 sing both. How many sing only Hindi songs?
  24. 24.In a group of 52 children, 30 play chess, 29 play carrom and 12 play both. How many play only carrom?
  25. 25.In a group of 35 children, 23 play cricket, 11 play football and 5 play both. How many play only cricket?
  26. 26.In a group of 39 children, 28 sing Hindi songs, 11 sing English songs and 8 sing both. How many sing only Hindi songs?
  27. 27.In a group of 57 children, 28 play chess, 25 play carrom and 8 play both. How many play at least one of the two?
  28. 28.In a group of 29 children, 21 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 33 children, 21 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing at least one of the two?
  30. 30.In a group of 34 children, 7 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing only English songs?
  31. 31.In a group of 29 children, 21 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 38 children, 15 like mangoes, 31 like bananas and 12 like both. How many like neither of the two?
  33. 33.In a group of 34 children, 14 like mangoes, 26 like bananas and 11 like both. How many like at least one of the two?
  34. 34.In a group of 60 children, 32 like mangoes, 29 like bananas and 12 like both. How many like only mangoes?
  35. 35.In a group of 24 children, 6 play cricket, 8 play football and 3 play both. How many play at least one of the two?
  36. 36.In a group of 30 children, 17 enjoy drawing, 10 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  37. 37.In a group of 41 children, 16 like mangoes, 16 like bananas and 4 like both. How many like only bananas?
  38. 38.In a group of 42 children, 14 like mangoes, 23 like bananas and 4 like both. How many like exactly one of the two?
  39. 39.In a group of 29 children, 12 enjoy drawing, 14 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  40. 40.In a group of 32 children, 20 play cricket, 10 play football and 7 play both. How many play only football?

Answer key

  1. 31
  2. 18
  3. 1
  4. 20
  5. 33
  6. 24
  7. 9
  8. 15
  9. 41
  10. 13
  11. 5
  12. 6
  13. 40
  14. 5
  15. 1
  16. 4
  17. 11
  18. 30
  19. 19
  20. 4
  21. 15
  22. 17
  23. 20
  24. 17
  25. 18
  26. 20
  27. 45
  28. 25
  29. 29
  30. 20
  31. 6
  32. 4
  33. 29
  34. 20
  35. 11
  36. 21
  37. 12
  38. 29
  39. 22
  40. 3

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