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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 235 · 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 44 children, 11 play cricket, 20 play football and 2 play both. How many play at least one of the two?
  2. 2.In a group of 35 children, 22 play cricket, 14 play football and 7 play both. How many play at least one of the two?
  3. 3.In a group of 38 grown-ups, 11 drink tea, 22 drink coffee and 5 drink both. How many drink neither of the two?
  4. 4.In a group of 26 children, 9 like mangoes, 12 like bananas and 6 like both. How many like neither of the two?
  5. 5.In a group of 35 children, 25 play cricket, 19 play football and 12 play both. How many play at least one of the two?
  6. 6.In a group of 36 children, 23 like mangoes, 12 like bananas and 5 like both. How many like neither of the two?
  7. 7.In a group of 35 children, 10 enjoy drawing, 22 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 42 children, 24 play chess, 20 play carrom and 12 play both. How many play at least one of the two?
  9. 9.In a group of 41 children, 22 sing Hindi songs, 9 sing English songs and 5 sing both. How many sing exactly one of the two?
  10. 10.In a group of 28 children, 22 play chess, 14 play carrom and 9 play both. How many play exactly one of the two?
  11. 11.In a group of 35 children, 14 play cricket, 20 play football and 5 play both. How many play at least one of the two?
  12. 12.In a group of 33 children, 9 play chess, 18 play carrom and 2 play both. How many play neither of the two?
  13. 13.In a group of 29 children, 22 like mangoes, 11 like bananas and 8 like both. How many like only mangoes?
  14. 14.In a group of 49 children, 29 play chess, 22 play carrom and 11 play both. How many play exactly one of the two?
  15. 15.In a group of 45 children, 18 like mangoes, 18 like bananas and 3 like both. How many like only mangoes?
  16. 16.In a group of 46 children, 28 like mangoes, 26 like bananas and 10 like both. How many like neither of the two?
  17. 17.In a group of 41 children, 17 like mangoes, 17 like bananas and 6 like both. How many like neither of the two?
  18. 18.In a group of 41 children, 21 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing only English songs?
  19. 19.In a group of 24 children, 14 enjoy drawing, 17 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  20. 20.In a group of 38 children, 30 like mangoes, 17 like bananas and 11 like both. How many like only mangoes?
  21. 21.In a group of 38 children, 17 play cricket, 17 play football and 5 play both. How many play only football?
  22. 22.In a group of 32 children, 20 play cricket, 17 play football and 10 play both. How many play exactly one of the two?
  23. 23.In a group of 23 children, 10 sing Hindi songs, 11 sing English songs and 5 sing both. How many sing only Hindi songs?
  24. 24.In a group of 39 children, 22 sing Hindi songs, 22 sing English songs and 12 sing both. How many sing neither of the two?
  25. 25.In a group of 53 children, 21 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  26. 26.In a group of 47 children, 32 play cricket, 17 play football and 12 play both. How many play only football?
  27. 27.In a group of 44 children, 19 play cricket, 29 play football and 10 play both. How many play only football?
  28. 28.In a group of 35 grown-ups, 14 drink tea, 19 drink coffee and 8 drink both. How many drink at least one of the two?
  29. 29.In a group of 21 children, 16 enjoy drawing, 14 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  30. 30.In a group of 34 children, 18 play chess, 19 play carrom and 9 play both. How many play only chess?
  31. 31.In a group of 36 children, 23 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 43 children, 18 enjoy drawing, 22 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 25 children, 8 enjoy drawing, 16 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 46 children, 29 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  35. 35.In a group of 35 children, 19 enjoy drawing, 20 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  36. 36.In a group of 34 children, 17 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing exactly one of the two?
  37. 37.In a group of 43 children, 26 like mangoes, 19 like bananas and 9 like both. How many like only mangoes?
  38. 38.In a group of 45 grown-ups, 15 drink tea, 24 drink coffee and 6 drink both. How many drink at least one of the two?
  39. 39.In a group of 38 children, 13 play chess, 21 play carrom and 6 play both. How many play at least one of the two?
  40. 40.In a group of 35 children, 27 play cricket, 19 play football and 12 play both. How many play only football?

Answer key

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

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