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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 483 · 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, 25 like mangoes, 17 like bananas and 6 like both. How many like only mangoes?
  2. 2.In a group of 30 children, 16 enjoy drawing, 13 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  3. 3.In a group of 18 children, 12 play chess, 7 play carrom and 3 play both. How many play neither of the two?
  4. 4.In a group of 48 children, 32 play cricket, 18 play football and 12 play both. How many play only cricket?
  5. 5.In a group of 34 children, 13 like mangoes, 19 like bananas and 2 like both. How many like only bananas?
  6. 6.In a group of 54 grown-ups, 31 drink tea, 26 drink coffee and 11 drink both. How many drink at least one of the two?
  7. 7.In a group of 18 children, 7 sing Hindi songs, 11 sing English songs and 3 sing both. How many sing exactly one of the two?
  8. 8.In a group of 40 grown-ups, 19 drink tea, 22 drink coffee and 12 drink both. How many drink neither of the two?
  9. 9.In a group of 44 children, 27 play cricket, 18 play football and 11 play both. How many play neither of the two?
  10. 10.In a group of 26 children, 19 like mangoes, 17 like bananas and 12 like both. How many like only mangoes?
  11. 11.In a group of 33 children, 14 play cricket, 23 play football and 7 play both. How many play neither of the two?
  12. 12.In a group of 36 children, 6 play chess, 18 play carrom and 3 play both. How many play exactly one of the two?
  13. 13.In a group of 47 children, 22 like mangoes, 26 like bananas and 9 like both. How many like at least one of the two?
  14. 14.In a group of 41 children, 27 play cricket, 20 play football and 7 play both. How many play neither of the two?
  15. 15.In a group of 53 children, 30 play chess, 20 play carrom and 10 play both. How many play neither of the two?
  16. 16.In a group of 37 children, 26 play cricket, 17 play football and 12 play both. How many play neither of the two?
  17. 17.In a group of 30 children, 21 play chess, 8 play carrom and 2 play both. How many play only chess?
  18. 18.In a group of 35 children, 15 play chess, 20 play carrom and 7 play both. How many play only chess?
  19. 19.In a group of 24 children, 19 play chess, 9 play carrom and 6 play both. How many play exactly one of the two?
  20. 20.In a group of 34 children, 17 play cricket, 6 play football and 2 play both. How many play neither of the two?
  21. 21.In a group of 39 grown-ups, 21 drink tea, 15 drink coffee and 2 drink both. How many drink only tea?
  22. 22.In a group of 26 children, 10 sing Hindi songs, 10 sing English songs and 7 sing both. How many sing exactly one of the two?
  23. 23.In a group of 43 children, 16 like mangoes, 23 like bananas and 10 like both. How many like at least one of the two?
  24. 24.In a group of 53 children, 24 like mangoes, 26 like bananas and 7 like both. How many like only bananas?
  25. 25.In a group of 34 children, 16 sing Hindi songs, 15 sing English songs and 3 sing both. How many sing only Hindi songs?
  26. 26.In a group of 28 grown-ups, 16 drink tea, 13 drink coffee and 8 drink both. How many drink at least one of the two?
  27. 27.In a group of 37 children, 14 sing Hindi songs, 29 sing English songs and 9 sing both. How many sing only Hindi songs?
  28. 28.In a group of 58 children, 29 play chess, 25 play carrom and 9 play both. How many play exactly one of the two?
  29. 29.In a group of 33 children, 11 play cricket, 14 play football and 5 play both. How many play at least one of the two?
  30. 30.In a group of 12 grown-ups, 5 drink tea, 6 drink coffee and 2 drink both. How many drink exactly one of the two?
  31. 31.In a group of 38 children, 14 play cricket, 21 play football and 6 play both. How many play only cricket?
  32. 32.In a group of 25 children, 15 sing Hindi songs, 10 sing English songs and 3 sing both. How many sing at least one of the two?
  33. 33.In a group of 32 children, 8 sing Hindi songs, 23 sing English songs and 3 sing both. How many sing at least one of the two?
  34. 34.In a group of 32 children, 19 enjoy drawing, 10 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  35. 35.In a group of 23 children, 14 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 23 children, 12 enjoy drawing, 8 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 22 children, 8 play cricket, 8 play football and 2 play both. How many play exactly one of the two?
  38. 38.In a group of 28 children, 22 play cricket, 16 play football and 11 play both. How many play only football?
  39. 39.In a group of 24 children, 12 like mangoes, 16 like bananas and 6 like both. How many like at least one of the two?
  40. 40.In a group of 32 children, 20 enjoy drawing, 14 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?

Answer key

  1. 19
  2. 10
  3. 2
  4. 20
  5. 17
  6. 46
  7. 12
  8. 11
  9. 10
  10. 7
  11. 3
  12. 18
  13. 39
  14. 1
  15. 13
  16. 6
  17. 19
  18. 8
  19. 16
  20. 13
  21. 19
  22. 6
  23. 29
  24. 19
  25. 13
  26. 21
  27. 5
  28. 36
  29. 20
  30. 7
  31. 8
  32. 22
  33. 28
  34. 7
  35. 19
  36. 7
  37. 12
  38. 5
  39. 22
  40. 18

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