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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 2 · 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 34 children, 12 like mangoes, 25 like bananas and 9 like both. How many like at least one of the two?
  2. 2.In a group of 35 children, 20 like mangoes, 11 like bananas and 6 like both. How many like only mangoes?
  3. 3.In a group of 14 children, 8 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 41 children, 20 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing only English songs?
  5. 5.In a group of 31 children, 16 sing Hindi songs, 20 sing English songs and 8 sing both. How many sing neither of the two?
  6. 6.In a group of 47 children, 16 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  7. 7.In a group of 13 children, 8 enjoy drawing, 5 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  8. 8.In a group of 44 children, 24 play chess, 20 play carrom and 6 play both. How many play neither of the two?
  9. 9.In a group of 30 children, 12 play chess, 23 play carrom and 7 play both. How many play neither of the two?
  10. 10.In a group of 30 children, 15 play cricket, 20 play football and 12 play both. How many play only cricket?
  11. 11.In a group of 34 children, 13 play cricket, 19 play football and 3 play both. How many play exactly one of the two?
  12. 12.In a group of 25 children, 13 play chess, 14 play carrom and 9 play both. How many play only carrom?
  13. 13.In a group of 41 children, 19 enjoy drawing, 17 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  14. 14.In a group of 39 grown-ups, 15 drink tea, 30 drink coffee and 12 drink both. How many drink exactly one of the two?
  15. 15.In a group of 45 children, 26 play cricket, 26 play football and 9 play both. How many play at least one of the two?
  16. 16.In a group of 37 children, 21 play chess, 5 play carrom and 2 play both. How many play at least one of the two?
  17. 17.In a group of 43 children, 31 play cricket, 22 play football and 12 play both. How many play at least one of the two?
  18. 18.In a group of 41 children, 31 sing Hindi songs, 20 sing English songs and 11 sing both. How many sing at least one of the two?
  19. 19.In a group of 36 grown-ups, 23 drink tea, 15 drink coffee and 6 drink both. How many drink only tea?
  20. 20.In a group of 36 children, 21 play chess, 18 play carrom and 12 play both. How many play neither of the two?
  21. 21.In a group of 35 children, 22 sing Hindi songs, 12 sing English songs and 3 sing both. How many sing only Hindi songs?
  22. 22.In a group of 50 children, 21 like mangoes, 28 like bananas and 8 like both. How many like exactly one of the two?
  23. 23.In a group of 51 children, 24 play cricket, 26 play football and 6 play both. How many play only football?
  24. 24.In a group of 27 children, 17 play cricket, 18 play football and 11 play both. How many play only football?
  25. 25.In a group of 46 children, 20 like mangoes, 28 like bananas and 12 like both. How many like neither of the two?
  26. 26.In a group of 49 children, 21 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing exactly one of the two?
  27. 27.In a group of 46 children, 24 enjoy drawing, 25 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  28. 28.In a group of 48 children, 26 sing Hindi songs, 23 sing English songs and 10 sing both. How many sing only English songs?
  29. 29.In a group of 33 grown-ups, 5 drink tea, 22 drink coffee and 2 drink both. How many drink at least one of the two?
  30. 30.In a group of 43 children, 23 play cricket, 10 play football and 3 play both. How many play only cricket?
  31. 31.In a group of 44 children, 24 play cricket, 19 play football and 4 play both. How many play neither of the two?
  32. 32.In a group of 35 children, 25 enjoy drawing, 13 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  33. 33.In a group of 41 children, 20 like mangoes, 25 like bananas and 9 like both. How many like neither of the two?
  34. 34.In a group of 31 children, 12 like mangoes, 23 like bananas and 6 like both. How many like neither of the two?
  35. 35.In a group of 40 children, 15 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 35 children, 17 like mangoes, 18 like bananas and 9 like both. How many like only mangoes?
  37. 37.In a group of 26 grown-ups, 7 drink tea, 20 drink coffee and 3 drink both. How many drink only coffee?
  38. 38.In a group of 43 children, 24 like mangoes, 12 like bananas and 7 like both. How many like only bananas?
  39. 39.In a group of 27 children, 14 sing Hindi songs, 22 sing English songs and 10 sing both. How many sing only English songs?
  40. 40.In a group of 43 children, 22 sing Hindi songs, 21 sing English songs and 3 sing both. How many sing only Hindi songs?

Answer key

  1. 28
  2. 14
  3. 4
  4. 7
  5. 3
  6. 14
  7. 6
  8. 6
  9. 2
  10. 3
  11. 26
  12. 5
  13. 13
  14. 21
  15. 43
  16. 24
  17. 41
  18. 40
  19. 17
  20. 9
  21. 19
  22. 33
  23. 20
  24. 7
  25. 10
  26. 27
  27. 37
  28. 13
  29. 25
  30. 20
  31. 5
  32. 8
  33. 5
  34. 2
  35. 13
  36. 8
  37. 17
  38. 5
  39. 12
  40. 19

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