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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 82 · 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, 17 play cricket, 15 play football and 9 play both. How many play at least one of the two?
  2. 2.In a group of 46 children, 17 play cricket, 30 play football and 12 play both. How many play exactly one of the two?
  3. 3.In a group of 47 children, 19 enjoy drawing, 29 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  4. 4.In a group of 24 children, 14 play cricket, 16 play football and 10 play both. How many play only cricket?
  5. 5.In a group of 35 children, 11 like mangoes, 12 like bananas and 2 like both. How many like exactly one of the two?
  6. 6.In a group of 41 children, 23 play chess, 21 play carrom and 4 play both. How many play neither of the two?
  7. 7.In a group of 40 children, 20 play chess, 23 play carrom and 8 play both. How many play at least one of the two?
  8. 8.In a group of 45 children, 20 play cricket, 27 play football and 7 play both. How many play only football?
  9. 9.In a group of 39 children, 22 like mangoes, 23 like bananas and 12 like both. How many like neither of the two?
  10. 10.In a group of 47 grown-ups, 23 drink tea, 20 drink coffee and 7 drink both. How many drink neither of the two?
  11. 11.In a group of 51 children, 20 play chess, 27 play carrom and 7 play both. How many play only chess?
  12. 12.In a group of 48 children, 30 play cricket, 13 play football and 10 play both. How many play exactly one of the two?
  13. 13.In a group of 40 children, 28 play cricket, 17 play football and 12 play both. How many play only cricket?
  14. 14.In a group of 42 children, 18 like mangoes, 24 like bananas and 12 like both. How many like exactly one of the two?
  15. 15.In a group of 24 children, 11 play cricket, 14 play football and 8 play both. How many play exactly one of the two?
  16. 16.In a group of 23 children, 10 play cricket, 10 play football and 4 play both. How many play at least one of the two?
  17. 17.In a group of 31 children, 5 play chess, 18 play carrom and 2 play both. How many play at least one of the two?
  18. 18.In a group of 44 children, 20 enjoy drawing, 13 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  19. 19.In a group of 24 children, 12 enjoy drawing, 20 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  20. 20.In a group of 34 children, 14 play cricket, 23 play football and 11 play both. How many play only cricket?
  21. 21.In a group of 31 children, 6 play cricket, 22 play football and 2 play both. How many play only cricket?
  22. 22.In a group of 43 children, 13 play chess, 19 play carrom and 4 play both. How many play only carrom?
  23. 23.In a group of 46 children, 24 sing Hindi songs, 27 sing English songs and 9 sing both. How many sing only English songs?
  24. 24.In a group of 43 children, 16 play cricket, 23 play football and 10 play both. How many play neither of the two?
  25. 25.In a group of 30 grown-ups, 13 drink tea, 16 drink coffee and 6 drink both. How many drink exactly one of the two?
  26. 26.In a group of 42 children, 10 play chess, 22 play carrom and 5 play both. How many play at least one of the two?
  27. 27.In a group of 32 children, 19 play chess, 16 play carrom and 4 play both. How many play only chess?
  28. 28.In a group of 34 children, 9 sing Hindi songs, 17 sing English songs and 6 sing both. How many sing only English songs?
  29. 29.In a group of 29 children, 20 play cricket, 7 play football and 3 play both. How many play neither of the two?
  30. 30.In a group of 22 children, 11 enjoy drawing, 15 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 40 children, 16 play cricket, 24 play football and 9 play both. How many play only cricket?
  32. 32.In a group of 43 children, 22 enjoy drawing, 17 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 53 children, 30 play cricket, 30 play football and 11 play both. How many play neither of the two?
  34. 34.In a group of 25 children, 13 play cricket, 17 play football and 7 play both. How many play only football?
  35. 35.In a group of 28 children, 11 play cricket, 7 play football and 2 play both. How many play exactly one of the two?
  36. 36.In a group of 32 children, 12 play cricket, 23 play football and 4 play both. How many play at least one of the two?
  37. 37.In a group of 45 children, 13 like mangoes, 26 like bananas and 9 like both. How many like neither of the two?
  38. 38.In a group of 40 children, 20 enjoy drawing, 11 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 33 children, 24 like mangoes, 18 like bananas and 10 like both. How many like only bananas?
  40. 40.In a group of 40 children, 13 play cricket, 19 play football and 6 play both. How many play only cricket?

Answer key

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

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