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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 379 · 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 29 children, 7 play cricket, 19 play football and 4 play both. How many play neither of the two?
  2. 2.In a group of 34 children, 11 play cricket, 14 play football and 2 play both. How many play at least one of the two?
  3. 3.In a group of 36 children, 16 enjoy drawing, 15 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 37 children, 20 play chess, 17 play carrom and 4 play both. How many play only carrom?
  5. 5.In a group of 42 children, 27 like mangoes, 18 like bananas and 7 like both. How many like only mangoes?
  6. 6.In a group of 33 children, 15 sing Hindi songs, 17 sing English songs and 7 sing both. How many sing only Hindi songs?
  7. 7.In a group of 49 children, 26 like mangoes, 27 like bananas and 12 like both. How many like exactly one of the two?
  8. 8.In a group of 30 grown-ups, 14 drink tea, 15 drink coffee and 10 drink both. How many drink only tea?
  9. 9.In a group of 44 children, 27 like mangoes, 23 like bananas and 10 like both. How many like only mangoes?
  10. 10.In a group of 31 children, 15 enjoy drawing, 11 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  11. 11.In a group of 49 children, 22 sing Hindi songs, 18 sing English songs and 4 sing both. How many sing at least one of the two?
  12. 12.In a group of 37 grown-ups, 18 drink tea, 26 drink coffee and 9 drink both. How many drink only tea?
  13. 13.In a group of 32 children, 13 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing at least one of the two?
  14. 14.In a group of 35 children, 12 enjoy drawing, 18 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 32 children, 16 sing Hindi songs, 24 sing English songs and 10 sing both. How many sing neither of the two?
  16. 16.In a group of 39 children, 24 enjoy drawing, 16 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  17. 17.In a group of 31 grown-ups, 17 drink tea, 12 drink coffee and 4 drink both. How many drink neither of the two?
  18. 18.In a group of 26 grown-ups, 12 drink tea, 7 drink coffee and 3 drink both. How many drink exactly one of the two?
  19. 19.In a group of 25 children, 6 like mangoes, 7 like bananas and 2 like both. How many like only mangoes?
  20. 20.In a group of 32 children, 16 play chess, 14 play carrom and 10 play both. How many play only chess?
  21. 21.In a group of 46 children, 18 sing Hindi songs, 18 sing English songs and 4 sing both. How many sing exactly one of the two?
  22. 22.In a group of 41 children, 20 play chess, 16 play carrom and 5 play both. How many play only carrom?
  23. 23.In a group of 33 children, 16 like mangoes, 19 like bananas and 9 like both. How many like at least one of the two?
  24. 24.In a group of 36 children, 17 play cricket, 12 play football and 7 play both. How many play neither of the two?
  25. 25.In a group of 31 children, 18 sing Hindi songs, 9 sing English songs and 6 sing both. How many sing only English songs?
  26. 26.In a group of 35 children, 22 enjoy drawing, 21 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 38 children, 26 like mangoes, 10 like bananas and 7 like both. How many like neither of the two?
  28. 28.In a group of 32 children, 14 like mangoes, 16 like bananas and 2 like both. How many like exactly one of the two?
  29. 29.In a group of 41 children, 26 play cricket, 11 play football and 7 play both. How many play at least one of the two?
  30. 30.In a group of 49 children, 18 play cricket, 19 play football and 2 play both. How many play only football?
  31. 31.In a group of 23 children, 8 enjoy drawing, 16 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  32. 32.In a group of 41 children, 27 play cricket, 24 play football and 12 play both. How many play exactly one of the two?
  33. 33.In a group of 48 grown-ups, 20 drink tea, 28 drink coffee and 12 drink both. How many drink only tea?
  34. 34.In a group of 45 children, 16 play cricket, 24 play football and 8 play both. How many play exactly one of the two?
  35. 35.In a group of 24 children, 6 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  36. 36.In a group of 32 children, 23 play cricket, 20 play football and 12 play both. How many play at least one of the two?
  37. 37.In a group of 23 children, 10 sing Hindi songs, 9 sing English songs and 3 sing both. How many sing exactly one of the two?
  38. 38.In a group of 41 children, 24 sing Hindi songs, 19 sing English songs and 10 sing both. How many sing neither of the two?
  39. 39.In a group of 39 children, 19 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 38 children, 16 enjoy drawing, 27 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?

Answer key

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

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