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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 527 · 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 32 children, 21 enjoy drawing, 14 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  2. 2.In a group of 33 children, 16 enjoy drawing, 20 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  3. 3.In a group of 36 children, 15 play cricket, 21 play football and 3 play both. How many play at least one of the two?
  4. 4.In a group of 31 children, 13 enjoy drawing, 17 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  5. 5.In a group of 44 children, 14 enjoy drawing, 26 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  6. 6.In a group of 32 children, 13 play cricket, 15 play football and 10 play both. How many play neither of the two?
  7. 7.In a group of 41 children, 21 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  8. 8.In a group of 37 children, 20 like mangoes, 25 like bananas and 12 like both. How many like only mangoes?
  9. 9.In a group of 56 children, 23 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing only English songs?
  10. 10.In a group of 51 children, 20 play chess, 23 play carrom and 5 play both. How many play only chess?
  11. 11.In a group of 25 grown-ups, 13 drink tea, 7 drink coffee and 4 drink both. How many drink only tea?
  12. 12.In a group of 29 children, 24 like mangoes, 10 like bananas and 7 like both. How many like only bananas?
  13. 13.In a group of 35 children, 18 play cricket, 14 play football and 10 play both. How many play exactly one of the two?
  14. 14.In a group of 42 children, 9 like mangoes, 23 like bananas and 4 like both. How many like exactly one of the two?
  15. 15.In a group of 40 children, 22 play cricket, 11 play football and 4 play both. How many play only football?
  16. 16.In a group of 28 children, 20 like mangoes, 7 like bananas and 4 like both. How many like only bananas?
  17. 17.In a group of 53 grown-ups, 27 drink tea, 22 drink coffee and 10 drink both. How many drink exactly one of the two?
  18. 18.In a group of 33 children, 18 like mangoes, 8 like bananas and 4 like both. How many like only bananas?
  19. 19.In a group of 23 children, 16 like mangoes, 13 like bananas and 8 like both. How many like at least one of the two?
  20. 20.In a group of 40 children, 21 enjoy drawing, 14 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 47 children, 21 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 34 grown-ups, 23 drink tea, 15 drink coffee and 5 drink both. How many drink neither of the two?
  23. 23.In a group of 42 children, 22 play cricket, 19 play football and 8 play both. How many play at least one of the two?
  24. 24.In a group of 37 children, 20 play chess, 19 play carrom and 8 play both. How many play only carrom?
  25. 25.In a group of 37 children, 12 play chess, 23 play carrom and 5 play both. How many play only chess?
  26. 26.In a group of 53 children, 26 play chess, 20 play carrom and 8 play both. How many play exactly one of the two?
  27. 27.In a group of 31 children, 13 play cricket, 16 play football and 3 play both. How many play at least one of the two?
  28. 28.In a group of 27 children, 13 play cricket, 16 play football and 10 play both. How many play neither of the two?
  29. 29.In a group of 26 children, 15 sing Hindi songs, 7 sing English songs and 4 sing both. How many sing at least one of the two?
  30. 30.In a group of 39 children, 19 play cricket, 15 play football and 5 play both. How many play only football?
  31. 31.In a group of 37 children, 15 enjoy drawing, 19 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  32. 32.In a group of 47 children, 27 sing Hindi songs, 16 sing English songs and 10 sing both. How many sing at least one of the two?
  33. 33.In a group of 45 children, 28 play cricket, 25 play football and 11 play both. How many play at least one of the two?
  34. 34.In a group of 37 children, 10 play cricket, 24 play football and 7 play both. How many play only cricket?
  35. 35.In a group of 35 children, 11 play chess, 11 play carrom and 2 play both. How many play neither of the two?
  36. 36.In a group of 34 children, 27 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing only Hindi songs?
  37. 37.In a group of 32 children, 15 sing Hindi songs, 22 sing English songs and 11 sing both. How many sing at least one of the two?
  38. 38.In a group of 35 children, 18 play cricket, 27 play football and 12 play both. How many play neither of the two?
  39. 39.In a group of 51 children, 17 play cricket, 32 play football and 12 play both. How many play only cricket?
  40. 40.In a group of 34 children, 24 enjoy drawing, 15 enjoy dancing and 7 enjoy both. How many enjoy only drawing?

Answer key

  1. 17
  2. 8
  3. 33
  4. 8
  5. 12
  6. 14
  7. 12
  8. 8
  9. 20
  10. 15
  11. 9
  12. 3
  13. 12
  14. 24
  15. 7
  16. 3
  17. 29
  18. 4
  19. 21
  20. 18
  21. 9
  22. 1
  23. 33
  24. 11
  25. 7
  26. 30
  27. 26
  28. 8
  29. 18
  30. 10
  31. 11
  32. 33
  33. 42
  34. 3
  35. 15
  36. 16
  37. 26
  38. 2
  39. 5
  40. 17

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