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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 510 · 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 53 grown-ups, 24 drink tea, 25 drink coffee and 8 drink both. How many drink neither of the two?
  2. 2.In a group of 33 children, 17 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 25 children, 16 play cricket, 16 play football and 10 play both. How many play at least one of the two?
  4. 4.In a group of 23 children, 8 play chess, 9 play carrom and 3 play both. How many play only chess?
  5. 5.In a group of 23 children, 8 enjoy drawing, 16 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  6. 6.In a group of 20 children, 13 play chess, 12 play carrom and 7 play both. How many play only chess?
  7. 7.In a group of 52 children, 21 sing Hindi songs, 23 sing English songs and 7 sing both. How many sing exactly one of the two?
  8. 8.In a group of 39 children, 16 sing Hindi songs, 22 sing English songs and 2 sing both. How many sing exactly one of the two?
  9. 9.In a group of 44 children, 21 like mangoes, 22 like bananas and 4 like both. How many like only bananas?
  10. 10.In a group of 24 children, 15 enjoy drawing, 15 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 41 children, 17 sing Hindi songs, 14 sing English songs and 5 sing both. How many sing only English songs?
  12. 12.In a group of 44 children, 13 play chess, 23 play carrom and 6 play both. How many play only carrom?
  13. 13.In a group of 25 children, 10 play cricket, 12 play football and 3 play both. How many play at least one of the two?
  14. 14.In a group of 48 children, 25 like mangoes, 25 like bananas and 5 like both. How many like neither of the two?
  15. 15.In a group of 43 grown-ups, 16 drink tea, 22 drink coffee and 7 drink both. How many drink only tea?
  16. 16.In a group of 45 children, 14 sing Hindi songs, 29 sing English songs and 10 sing both. How many sing only Hindi songs?
  17. 17.In a group of 34 children, 14 play cricket, 9 play football and 4 play both. How many play only football?
  18. 18.In a group of 38 children, 21 play cricket, 20 play football and 4 play both. How many play only cricket?
  19. 19.In a group of 34 children, 19 play cricket, 21 play football and 8 play both. How many play exactly one of the two?
  20. 20.In a group of 43 children, 24 enjoy drawing, 22 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 33 children, 17 sing Hindi songs, 17 sing English songs and 11 sing both. How many sing only English songs?
  22. 22.In a group of 33 children, 14 play chess, 23 play carrom and 9 play both. How many play only carrom?
  23. 23.In a group of 55 children, 27 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  24. 24.In a group of 32 grown-ups, 10 drink tea, 21 drink coffee and 4 drink both. How many drink neither of the two?
  25. 25.In a group of 24 children, 8 play cricket, 8 play football and 2 play both. How many play neither of the two?
  26. 26.In a group of 16 children, 8 play cricket, 10 play football and 5 play both. How many play at least one of the two?
  27. 27.In a group of 32 grown-ups, 21 drink tea, 7 drink coffee and 2 drink both. How many drink only tea?
  28. 28.In a group of 40 children, 21 sing Hindi songs, 16 sing English songs and 6 sing both. How many sing at least one of the two?
  29. 29.In a group of 43 children, 27 play cricket, 15 play football and 8 play both. How many play only cricket?
  30. 30.In a group of 24 children, 7 enjoy drawing, 13 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  31. 31.In a group of 41 children, 15 enjoy drawing, 18 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 33 children, 17 enjoy drawing, 22 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  33. 33.In a group of 52 children, 18 play chess, 27 play carrom and 7 play both. How many play only chess?
  34. 34.In a group of 38 children, 22 play cricket, 7 play football and 3 play both. How many play only football?
  35. 35.In a group of 50 children, 29 like mangoes, 27 like bananas and 11 like both. How many like only mangoes?
  36. 36.In a group of 35 grown-ups, 25 drink tea, 13 drink coffee and 10 drink both. How many drink exactly one of the two?
  37. 37.In a group of 42 children, 18 enjoy drawing, 27 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  38. 38.In a group of 37 grown-ups, 12 drink tea, 19 drink coffee and 4 drink both. How many drink neither of the two?
  39. 39.In a group of 35 children, 8 like mangoes, 18 like bananas and 4 like both. How many like only bananas?
  40. 40.In a group of 48 children, 24 play chess, 26 play carrom and 7 play both. How many play exactly one of the two?

Answer key

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

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