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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 173 · 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 19 children, 10 like mangoes, 11 like bananas and 3 like both. How many like exactly one of the two?
  2. 2.In a group of 24 children, 17 play cricket, 13 play football and 7 play both. How many play at least one of the two?
  3. 3.In a group of 44 children, 23 play cricket, 15 play football and 4 play both. How many play neither of the two?
  4. 4.In a group of 25 children, 18 play cricket, 12 play football and 6 play both. How many play exactly one of the two?
  5. 5.In a group of 46 children, 23 sing Hindi songs, 14 sing English songs and 5 sing both. How many sing only Hindi songs?
  6. 6.In a group of 43 children, 17 play cricket, 18 play football and 3 play both. How many play exactly one of the two?
  7. 7.In a group of 43 children, 18 play chess, 16 play carrom and 5 play both. How many play only carrom?
  8. 8.In a group of 36 children, 19 play cricket, 7 play football and 4 play both. How many play at least one of the two?
  9. 9.In a group of 35 children, 19 enjoy drawing, 14 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 30 children, 16 play cricket, 13 play football and 6 play both. How many play at least one of the two?
  11. 11.In a group of 19 children, 13 enjoy drawing, 8 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  12. 12.In a group of 35 children, 18 sing Hindi songs, 12 sing English songs and 4 sing both. How many sing only Hindi songs?
  13. 13.In a group of 32 grown-ups, 17 drink tea, 12 drink coffee and 5 drink both. How many drink only tea?
  14. 14.In a group of 43 children, 25 enjoy drawing, 20 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 37 grown-ups, 20 drink tea, 21 drink coffee and 9 drink both. How many drink only tea?
  16. 16.In a group of 47 children, 23 play cricket, 24 play football and 9 play both. How many play neither of the two?
  17. 17.In a group of 23 children, 17 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  18. 18.In a group of 30 children, 18 like mangoes, 12 like bananas and 3 like both. How many like neither of the two?
  19. 19.In a group of 29 children, 18 play cricket, 9 play football and 3 play both. How many play only cricket?
  20. 20.In a group of 29 children, 13 like mangoes, 15 like bananas and 9 like both. How many like at least one of the two?
  21. 21.In a group of 54 children, 25 play chess, 24 play carrom and 5 play both. How many play only carrom?
  22. 22.In a group of 27 children, 19 enjoy drawing, 16 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 51 children, 26 sing Hindi songs, 25 sing English songs and 12 sing both. How many sing neither of the two?
  24. 24.In a group of 28 children, 11 play cricket, 19 play football and 3 play both. How many play only cricket?
  25. 25.In a group of 33 grown-ups, 12 drink tea, 17 drink coffee and 4 drink both. How many drink only tea?
  26. 26.In a group of 37 children, 14 like mangoes, 15 like bananas and 2 like both. How many like only mangoes?
  27. 27.In a group of 32 grown-ups, 16 drink tea, 15 drink coffee and 4 drink both. How many drink only tea?
  28. 28.In a group of 35 children, 7 sing Hindi songs, 17 sing English songs and 4 sing both. How many sing only English songs?
  29. 29.In a group of 44 children, 23 play cricket, 15 play football and 9 play both. How many play only cricket?
  30. 30.In a group of 35 children, 13 enjoy drawing, 22 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  31. 31.In a group of 24 children, 6 enjoy drawing, 19 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 42 children, 24 enjoy drawing, 16 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 36 children, 16 like mangoes, 25 like bananas and 6 like both. How many like neither of the two?
  34. 34.In a group of 34 children, 25 play chess, 11 play carrom and 7 play both. How many play neither of the two?
  35. 35.In a group of 39 children, 18 enjoy drawing, 22 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 42 children, 23 like mangoes, 16 like bananas and 7 like both. How many like only bananas?
  37. 37.In a group of 48 children, 22 play chess, 16 play carrom and 3 play both. How many play exactly one of the two?
  38. 38.In a group of 39 children, 19 play cricket, 16 play football and 7 play both. How many play at least one of the two?
  39. 39.In a group of 13 children, 8 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing only Hindi songs?
  40. 40.In a group of 34 children, 22 enjoy drawing, 13 enjoy dancing and 5 enjoy both. How many enjoy only dancing?

Answer key

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

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