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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 52 · 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 38 children, 13 sing Hindi songs, 16 sing English songs and 6 sing both. How many sing only Hindi songs?
  2. 2.In a group of 40 children, 23 enjoy drawing, 24 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  3. 3.In a group of 36 children, 11 sing Hindi songs, 21 sing English songs and 5 sing both. How many sing exactly one of the two?
  4. 4.In a group of 28 children, 16 enjoy drawing, 19 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  5. 5.In a group of 36 children, 28 play cricket, 15 play football and 12 play both. How many play at least one of the two?
  6. 6.In a group of 27 grown-ups, 9 drink tea, 23 drink coffee and 6 drink both. How many drink neither of the two?
  7. 7.In a group of 26 children, 10 play chess, 12 play carrom and 6 play both. How many play only carrom?
  8. 8.In a group of 26 children, 19 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  9. 9.In a group of 33 grown-ups, 13 drink tea, 28 drink coffee and 10 drink both. How many drink neither of the two?
  10. 10.In a group of 33 children, 13 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 43 children, 30 like mangoes, 21 like bananas and 10 like both. How many like only mangoes?
  12. 12.In a group of 34 children, 21 play cricket, 12 play football and 2 play both. How many play neither of the two?
  13. 13.In a group of 33 children, 11 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  14. 14.In a group of 25 children, 17 play chess, 9 play carrom and 3 play both. How many play neither of the two?
  15. 15.In a group of 57 children, 22 sing Hindi songs, 23 sing English songs and 3 sing both. How many sing exactly one of the two?
  16. 16.In a group of 42 children, 25 like mangoes, 25 like bananas and 10 like both. How many like only bananas?
  17. 17.In a group of 46 children, 30 like mangoes, 16 like bananas and 10 like both. How many like at least one of the two?
  18. 18.In a group of 36 children, 12 sing Hindi songs, 27 sing English songs and 7 sing both. How many sing only Hindi songs?
  19. 19.In a group of 48 children, 15 play cricket, 22 play football and 2 play both. How many play only football?
  20. 20.In a group of 31 children, 8 like mangoes, 21 like bananas and 4 like both. How many like at least one of the two?
  21. 21.In a group of 48 children, 29 play cricket, 27 play football and 11 play both. How many play at least one of the two?
  22. 22.In a group of 22 children, 5 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 23 children, 9 play cricket, 10 play football and 5 play both. How many play only cricket?
  24. 24.In a group of 28 children, 11 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  25. 25.In a group of 32 grown-ups, 22 drink tea, 8 drink coffee and 2 drink both. How many drink only tea?
  26. 26.In a group of 42 children, 22 like mangoes, 22 like bananas and 10 like both. How many like neither of the two?
  27. 27.In a group of 32 children, 23 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  28. 28.In a group of 39 children, 13 play cricket, 23 play football and 9 play both. How many play neither of the two?
  29. 29.In a group of 21 children, 9 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing at least one of the two?
  30. 30.In a group of 39 grown-ups, 19 drink tea, 18 drink coffee and 12 drink both. How many drink only tea?
  31. 31.In a group of 34 children, 20 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  32. 32.In a group of 42 children, 15 play cricket, 27 play football and 10 play both. How many play exactly one of the two?
  33. 33.In a group of 39 grown-ups, 19 drink tea, 10 drink coffee and 2 drink both. How many drink at least one of the two?
  34. 34.In a group of 39 children, 22 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  35. 35.In a group of 30 children, 16 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing only Hindi songs?
  36. 36.In a group of 28 children, 12 play cricket, 22 play football and 9 play both. How many play only cricket?
  37. 37.In a group of 17 children, 6 play cricket, 7 play football and 3 play both. How many play neither of the two?
  38. 38.In a group of 44 children, 26 like mangoes, 14 like bananas and 11 like both. How many like exactly one of the two?
  39. 39.In a group of 50 children, 25 play cricket, 18 play football and 6 play both. How many play at least one of the two?
  40. 40.In a group of 35 children, 12 play chess, 23 play carrom and 8 play both. How many play only chess?

Answer key

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

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