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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 347 · 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 48 children, 29 enjoy drawing, 15 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  2. 2.In a group of 49 children, 17 play cricket, 28 play football and 11 play both. How many play only football?
  3. 3.In a group of 37 children, 11 like mangoes, 25 like bananas and 8 like both. How many like only mangoes?
  4. 4.In a group of 28 children, 9 sing Hindi songs, 20 sing English songs and 5 sing both. How many sing at least one of the two?
  5. 5.In a group of 34 children, 24 sing Hindi songs, 20 sing English songs and 11 sing both. How many sing only English songs?
  6. 6.In a group of 30 children, 13 play cricket, 6 play football and 3 play both. How many play only cricket?
  7. 7.In a group of 37 children, 12 play chess, 20 play carrom and 2 play both. How many play only carrom?
  8. 8.In a group of 38 children, 26 play chess, 17 play carrom and 8 play both. How many play exactly one of the two?
  9. 9.In a group of 30 children, 18 like mangoes, 21 like bananas and 10 like both. How many like only mangoes?
  10. 10.In a group of 42 children, 14 enjoy drawing, 26 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 25 children, 10 play chess, 14 play carrom and 4 play both. How many play exactly one of the two?
  12. 12.In a group of 27 children, 14 like mangoes, 18 like bananas and 11 like both. How many like only mangoes?
  13. 13.In a group of 32 children, 12 play cricket, 17 play football and 5 play both. How many play exactly one of the two?
  14. 14.In a group of 42 grown-ups, 18 drink tea, 23 drink coffee and 11 drink both. How many drink only tea?
  15. 15.In a group of 51 children, 26 play cricket, 23 play football and 12 play both. How many play exactly one of the two?
  16. 16.In a group of 26 children, 15 play cricket, 12 play football and 5 play both. How many play neither of the two?
  17. 17.In a group of 49 children, 24 play chess, 20 play carrom and 4 play both. How many play only chess?
  18. 18.In a group of 40 children, 10 enjoy drawing, 18 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  19. 19.In a group of 46 children, 31 like mangoes, 17 like bananas and 11 like both. How many like neither of the two?
  20. 20.In a group of 33 children, 15 like mangoes, 24 like bananas and 9 like both. How many like only mangoes?
  21. 21.In a group of 38 children, 13 play chess, 22 play carrom and 2 play both. How many play neither of the two?
  22. 22.In a group of 40 children, 15 enjoy drawing, 24 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 17 children, 9 sing Hindi songs, 13 sing English songs and 6 sing both. How many sing at least one of the two?
  24. 24.In a group of 30 children, 12 play cricket, 5 play football and 2 play both. How many play only football?
  25. 25.In a group of 53 grown-ups, 22 drink tea, 22 drink coffee and 4 drink both. How many drink only tea?
  26. 26.In a group of 35 children, 7 play cricket, 18 play football and 2 play both. How many play neither of the two?
  27. 27.In a group of 46 children, 24 enjoy drawing, 26 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  28. 28.In a group of 43 children, 14 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing neither of the two?
  29. 29.In a group of 41 children, 22 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  30. 30.In a group of 27 children, 9 enjoy drawing, 13 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  31. 31.In a group of 37 children, 20 enjoy drawing, 16 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 51 children, 22 sing Hindi songs, 27 sing English songs and 10 sing both. How many sing only English songs?
  33. 33.In a group of 34 grown-ups, 7 drink tea, 17 drink coffee and 4 drink both. How many drink exactly one of the two?
  34. 34.In a group of 31 children, 15 like mangoes, 6 like bananas and 3 like both. How many like exactly one of the two?
  35. 35.In a group of 19 children, 11 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing exactly one of the two?
  36. 36.In a group of 33 children, 22 like mangoes, 9 like bananas and 6 like both. How many like only mangoes?
  37. 37.In a group of 34 children, 9 play chess, 22 play carrom and 2 play both. How many play only carrom?
  38. 38.In a group of 37 children, 20 enjoy drawing, 27 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 33 children, 16 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 35 children, 14 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?

Answer key

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

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