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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 167 · 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 50 children, 20 play chess, 22 play carrom and 6 play both. How many play only chess?
  2. 2.In a group of 48 children, 20 enjoy drawing, 16 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  3. 3.In a group of 42 children, 20 enjoy drawing, 13 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  4. 4.In a group of 45 grown-ups, 16 drink tea, 25 drink coffee and 9 drink both. How many drink only coffee?
  5. 5.In a group of 33 children, 17 play cricket, 15 play football and 8 play both. How many play neither of the two?
  6. 6.In a group of 35 children, 29 sing Hindi songs, 17 sing English songs and 12 sing both. How many sing only Hindi songs?
  7. 7.In a group of 38 children, 24 like mangoes, 20 like bananas and 12 like both. How many like only mangoes?
  8. 8.In a group of 50 children, 21 sing Hindi songs, 25 sing English songs and 9 sing both. How many sing at least one of the two?
  9. 9.In a group of 32 children, 18 play chess, 18 play carrom and 6 play both. How many play at least one of the two?
  10. 10.In a group of 55 children, 24 sing Hindi songs, 23 sing English songs and 7 sing both. How many sing only Hindi songs?
  11. 11.In a group of 42 children, 15 play chess, 18 play carrom and 3 play both. How many play neither of the two?
  12. 12.In a group of 45 children, 18 sing Hindi songs, 31 sing English songs and 12 sing both. How many sing only Hindi songs?
  13. 13.In a group of 22 children, 18 enjoy drawing, 15 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  14. 14.In a group of 39 grown-ups, 17 drink tea, 14 drink coffee and 6 drink both. How many drink exactly one of the two?
  15. 15.In a group of 28 children, 15 play chess, 6 play carrom and 2 play both. How many play exactly one of the two?
  16. 16.In a group of 40 grown-ups, 14 drink tea, 23 drink coffee and 7 drink both. How many drink only coffee?
  17. 17.In a group of 55 children, 26 enjoy drawing, 21 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 37 grown-ups, 18 drink tea, 21 drink coffee and 3 drink both. How many drink only tea?
  19. 19.In a group of 33 children, 6 like mangoes, 22 like bananas and 2 like both. How many like exactly one of the two?
  20. 20.In a group of 50 grown-ups, 28 drink tea, 26 drink coffee and 12 drink both. How many drink only tea?
  21. 21.In a group of 30 children, 15 like mangoes, 21 like bananas and 11 like both. How many like only mangoes?
  22. 22.In a group of 38 children, 20 like mangoes, 24 like bananas and 11 like both. How many like only mangoes?
  23. 23.In a group of 33 grown-ups, 11 drink tea, 16 drink coffee and 7 drink both. How many drink only coffee?
  24. 24.In a group of 34 children, 18 play cricket, 20 play football and 6 play both. How many play only cricket?
  25. 25.In a group of 26 grown-ups, 6 drink tea, 15 drink coffee and 3 drink both. How many drink neither of the two?
  26. 26.In a group of 22 children, 15 play cricket, 10 play football and 4 play both. How many play neither of the two?
  27. 27.In a group of 47 children, 29 like mangoes, 19 like bananas and 12 like both. How many like at least one of the two?
  28. 28.In a group of 28 children, 13 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  29. 29.In a group of 27 grown-ups, 13 drink tea, 15 drink coffee and 6 drink both. How many drink only coffee?
  30. 30.In a group of 38 children, 6 sing Hindi songs, 21 sing English songs and 3 sing both. How many sing only Hindi songs?
  31. 31.In a group of 27 children, 7 like mangoes, 19 like bananas and 4 like both. How many like only mangoes?
  32. 32.In a group of 27 children, 10 like mangoes, 13 like bananas and 7 like both. How many like exactly one of the two?
  33. 33.In a group of 26 children, 17 sing Hindi songs, 13 sing English songs and 7 sing both. How many sing at least one of the two?
  34. 34.In a group of 45 children, 25 play cricket, 23 play football and 11 play both. How many play at least one of the two?
  35. 35.In a group of 40 children, 25 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 45 children, 26 play chess, 17 play carrom and 12 play both. How many play neither of the two?
  37. 37.In a group of 29 children, 14 enjoy drawing, 9 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 38 children, 7 like mangoes, 20 like bananas and 2 like both. How many like at least one of the two?
  39. 39.In a group of 35 children, 12 play cricket, 27 play football and 8 play both. How many play only football?
  40. 40.In a group of 38 children, 20 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy only drawing?

Answer key

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

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