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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 246 · 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 37 children, 17 play cricket, 19 play football and 2 play both. How many play exactly one of the two?
  2. 2.In a group of 21 children, 15 play chess, 14 play carrom and 10 play both. How many play only chess?
  3. 3.In a group of 19 children, 10 play chess, 10 play carrom and 6 play both. How many play exactly one of the two?
  4. 4.In a group of 41 children, 16 like mangoes, 24 like bananas and 5 like both. How many like neither of the two?
  5. 5.In a group of 32 children, 16 play cricket, 23 play football and 12 play both. How many play only football?
  6. 6.In a group of 25 children, 9 like mangoes, 8 like bananas and 4 like both. How many like only mangoes?
  7. 7.In a group of 18 children, 8 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  8. 8.In a group of 35 children, 21 play cricket, 16 play football and 8 play both. How many play neither of the two?
  9. 9.In a group of 45 children, 14 play cricket, 26 play football and 7 play both. How many play at least one of the two?
  10. 10.In a group of 29 children, 10 play chess, 22 play carrom and 5 play both. How many play at least one of the two?
  11. 11.In a group of 46 children, 22 play cricket, 28 play football and 9 play both. How many play only football?
  12. 12.In a group of 43 children, 15 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing only English songs?
  13. 13.In a group of 57 children, 27 enjoy drawing, 25 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  14. 14.In a group of 17 children, 9 like mangoes, 8 like bananas and 4 like both. How many like only bananas?
  15. 15.In a group of 50 children, 25 play chess, 26 play carrom and 6 play both. How many play only chess?
  16. 16.In a group of 37 children, 17 enjoy drawing, 18 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  17. 17.In a group of 34 children, 17 play cricket, 14 play football and 2 play both. How many play only cricket?
  18. 18.In a group of 46 children, 19 play chess, 28 play carrom and 12 play both. How many play only chess?
  19. 19.In a group of 31 children, 13 sing Hindi songs, 10 sing English songs and 3 sing both. How many sing neither of the two?
  20. 20.In a group of 30 children, 11 like mangoes, 20 like bananas and 3 like both. How many like at least one of the two?
  21. 21.In a group of 31 children, 19 play cricket, 22 play football and 11 play both. How many play only cricket?
  22. 22.In a group of 38 children, 18 sing Hindi songs, 17 sing English songs and 11 sing both. How many sing at least one of the two?
  23. 23.In a group of 52 children, 22 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  24. 24.In a group of 61 children, 31 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing only Hindi songs?
  25. 25.In a group of 50 children, 22 sing Hindi songs, 27 sing English songs and 8 sing both. How many sing only English songs?
  26. 26.In a group of 21 grown-ups, 10 drink tea, 13 drink coffee and 7 drink both. How many drink at least one of the two?
  27. 27.In a group of 34 grown-ups, 15 drink tea, 23 drink coffee and 11 drink both. How many drink only coffee?
  28. 28.In a group of 39 children, 23 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  29. 29.In a group of 39 children, 20 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 29 children, 17 like mangoes, 23 like bananas and 12 like both. How many like only mangoes?
  31. 31.In a group of 33 children, 8 play cricket, 25 play football and 5 play both. How many play at least one of the two?
  32. 32.In a group of 27 children, 18 play cricket, 9 play football and 2 play both. How many play only football?
  33. 33.In a group of 31 children, 14 play cricket, 16 play football and 4 play both. How many play exactly one of the two?
  34. 34.In a group of 30 grown-ups, 16 drink tea, 11 drink coffee and 2 drink both. How many drink at least one of the two?
  35. 35.In a group of 25 children, 7 like mangoes, 16 like bananas and 2 like both. How many like only bananas?
  36. 36.In a group of 35 children, 10 enjoy drawing, 27 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  37. 37.In a group of 26 children, 18 sing Hindi songs, 7 sing English songs and 3 sing both. How many sing neither of the two?
  38. 38.In a group of 35 children, 22 play chess, 18 play carrom and 9 play both. How many play only carrom?
  39. 39.In a group of 31 children, 13 enjoy drawing, 18 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 29 children, 24 like mangoes, 16 like bananas and 12 like both. How many like only mangoes?

Answer key

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

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