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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 357 · 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 39 grown-ups, 19 drink tea, 15 drink coffee and 8 drink both. How many drink only tea?
  2. 2.In a group of 36 children, 16 play cricket, 27 play football and 10 play both. How many play neither of the two?
  3. 3.In a group of 29 children, 19 play cricket, 15 play football and 10 play both. How many play at least one of the two?
  4. 4.In a group of 38 children, 19 sing Hindi songs, 23 sing English songs and 8 sing both. How many sing exactly one of the two?
  5. 5.In a group of 44 children, 13 like mangoes, 29 like bananas and 9 like both. How many like only mangoes?
  6. 6.In a group of 29 grown-ups, 13 drink tea, 12 drink coffee and 9 drink both. How many drink only coffee?
  7. 7.In a group of 27 children, 15 play chess, 21 play carrom and 10 play both. How many play only chess?
  8. 8.In a group of 47 children, 17 enjoy drawing, 21 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  9. 9.In a group of 22 children, 6 like mangoes, 18 like bananas and 3 like both. How many like neither of the two?
  10. 10.In a group of 29 children, 12 like mangoes, 25 like bananas and 9 like both. How many like only mangoes?
  11. 11.In a group of 29 children, 20 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing only Hindi songs?
  12. 12.In a group of 41 children, 16 enjoy drawing, 28 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  13. 13.In a group of 32 children, 17 like mangoes, 18 like bananas and 10 like both. How many like exactly one of the two?
  14. 14.In a group of 56 children, 26 enjoy drawing, 22 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  15. 15.In a group of 47 children, 14 play cricket, 28 play football and 9 play both. How many play at least one of the two?
  16. 16.In a group of 40 children, 20 sing Hindi songs, 21 sing English songs and 12 sing both. How many sing only Hindi songs?
  17. 17.In a group of 39 children, 22 play cricket, 18 play football and 11 play both. How many play at least one of the two?
  18. 18.In a group of 32 children, 9 play chess, 15 play carrom and 3 play both. How many play only carrom?
  19. 19.In a group of 42 grown-ups, 16 drink tea, 19 drink coffee and 2 drink both. How many drink at least one of the two?
  20. 20.In a group of 28 children, 14 play cricket, 9 play football and 4 play both. How many play only cricket?
  21. 21.In a group of 50 children, 21 like mangoes, 28 like bananas and 12 like both. How many like only bananas?
  22. 22.In a group of 55 children, 29 play chess, 26 play carrom and 12 play both. How many play only chess?
  23. 23.In a group of 46 children, 27 play chess, 29 play carrom and 12 play both. How many play exactly one of the two?
  24. 24.In a group of 42 children, 26 sing Hindi songs, 21 sing English songs and 8 sing both. How many sing only Hindi songs?
  25. 25.In a group of 42 children, 17 play chess, 29 play carrom and 10 play both. How many play only carrom?
  26. 26.In a group of 42 children, 13 like mangoes, 23 like bananas and 6 like both. How many like exactly one of the two?
  27. 27.In a group of 31 children, 10 play cricket, 20 play football and 7 play both. How many play at least one of the two?
  28. 28.In a group of 33 children, 10 sing Hindi songs, 22 sing English songs and 3 sing both. How many sing at least one of the two?
  29. 29.In a group of 26 children, 17 play cricket, 9 play football and 6 play both. How many play only cricket?
  30. 30.In a group of 35 grown-ups, 13 drink tea, 19 drink coffee and 2 drink both. How many drink neither of the two?
  31. 31.In a group of 44 children, 17 play cricket, 20 play football and 4 play both. How many play only cricket?
  32. 32.In a group of 42 children, 19 play chess, 31 play carrom and 12 play both. How many play only chess?
  33. 33.In a group of 24 children, 11 play cricket, 8 play football and 3 play both. How many play only football?
  34. 34.In a group of 35 children, 22 sing Hindi songs, 20 sing English songs and 8 sing both. How many sing exactly one of the two?
  35. 35.In a group of 28 children, 13 sing Hindi songs, 14 sing English songs and 5 sing both. How many sing only English songs?
  36. 36.In a group of 43 children, 13 play chess, 24 play carrom and 7 play both. How many play only carrom?
  37. 37.In a group of 29 children, 7 like mangoes, 12 like bananas and 2 like both. How many like neither of the two?
  38. 38.In a group of 28 children, 14 enjoy drawing, 17 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 47 children, 29 play chess, 22 play carrom and 12 play both. How many play only chess?
  40. 40.In a group of 47 children, 15 play cricket, 23 play football and 3 play both. How many play exactly one of the two?

Answer key

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

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