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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 676 · 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, 15 play cricket, 26 play football and 12 play both. How many play only cricket?
  2. 2.In a group of 22 children, 12 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing neither of the two?
  3. 3.In a group of 50 children, 26 enjoy drawing, 21 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 41 children, 17 enjoy drawing, 18 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 43 children, 19 like mangoes, 27 like bananas and 11 like both. How many like at least one of the two?
  6. 6.In a group of 30 children, 13 play chess, 13 play carrom and 8 play both. How many play only carrom?
  7. 7.In a group of 32 grown-ups, 15 drink tea, 9 drink coffee and 4 drink both. How many drink at least one of the two?
  8. 8.In a group of 25 children, 10 like mangoes, 20 like bananas and 7 like both. How many like only bananas?
  9. 9.In a group of 30 children, 10 like mangoes, 18 like bananas and 5 like both. How many like neither of the two?
  10. 10.In a group of 24 children, 16 play cricket, 7 play football and 3 play both. How many play only cricket?
  11. 11.In a group of 24 children, 7 play chess, 10 play carrom and 3 play both. How many play only chess?
  12. 12.In a group of 33 children, 18 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  13. 13.In a group of 45 children, 15 play cricket, 22 play football and 2 play both. How many play at least one of the two?
  14. 14.In a group of 21 children, 9 play chess, 10 play carrom and 2 play both. How many play neither of the two?
  15. 15.In a group of 35 children, 22 like mangoes, 14 like bananas and 4 like both. How many like only mangoes?
  16. 16.In a group of 44 children, 17 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  17. 17.In a group of 31 grown-ups, 20 drink tea, 18 drink coffee and 12 drink both. How many drink exactly one of the two?
  18. 18.In a group of 15 children, 7 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  19. 19.In a group of 25 children, 15 play cricket, 13 play football and 8 play both. How many play only football?
  20. 20.In a group of 36 children, 21 sing Hindi songs, 17 sing English songs and 5 sing both. How many sing exactly one of the two?
  21. 21.In a group of 47 children, 30 enjoy drawing, 15 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  22. 22.In a group of 49 children, 28 play chess, 27 play carrom and 9 play both. How many play only chess?
  23. 23.In a group of 49 children, 23 play chess, 27 play carrom and 7 play both. How many play neither of the two?
  24. 24.In a group of 29 children, 12 enjoy drawing, 21 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 53 children, 25 play cricket, 25 play football and 9 play both. How many play neither of the two?
  26. 26.In a group of 23 children, 17 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  27. 27.In a group of 37 children, 20 play chess, 22 play carrom and 12 play both. How many play only chess?
  28. 28.In a group of 39 children, 24 play cricket, 24 play football and 11 play both. How many play neither of the two?
  29. 29.In a group of 38 children, 24 play chess, 16 play carrom and 12 play both. How many play at least one of the two?
  30. 30.In a group of 26 children, 19 like mangoes, 5 like bananas and 2 like both. How many like only bananas?
  31. 31.In a group of 33 children, 24 like mangoes, 18 like bananas and 10 like both. How many like at least one of the two?
  32. 32.In a group of 44 children, 30 enjoy drawing, 16 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  33. 33.In a group of 43 children, 15 play chess, 27 play carrom and 10 play both. How many play only carrom?
  34. 34.In a group of 48 children, 22 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  35. 35.In a group of 33 grown-ups, 14 drink tea, 19 drink coffee and 3 drink both. How many drink exactly one of the two?
  36. 36.In a group of 26 grown-ups, 5 drink tea, 17 drink coffee and 2 drink both. How many drink neither of the two?
  37. 37.In a group of 43 children, 16 enjoy drawing, 24 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  38. 38.In a group of 28 children, 19 enjoy drawing, 10 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 34 children, 23 play cricket, 21 play football and 11 play both. How many play only cricket?
  40. 40.In a group of 47 children, 17 play cricket, 27 play football and 8 play both. How many play neither of the two?

Answer key

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

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