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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 236 · 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 38 children, 19 like mangoes, 9 like bananas and 2 like both. How many like only mangoes?
  2. 2.In a group of 45 children, 29 sing Hindi songs, 24 sing English songs and 12 sing both. How many sing exactly one of the two?
  3. 3.In a group of 31 children, 23 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing neither of the two?
  4. 4.In a group of 38 children, 22 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  5. 5.In a group of 52 children, 21 like mangoes, 24 like bananas and 5 like both. How many like only bananas?
  6. 6.In a group of 47 children, 26 play chess, 17 play carrom and 6 play both. How many play at least one of the two?
  7. 7.In a group of 22 children, 13 like mangoes, 9 like bananas and 2 like both. How many like only mangoes?
  8. 8.In a group of 36 children, 9 play cricket, 20 play football and 6 play both. How many play neither of the two?
  9. 9.In a group of 56 children, 27 play chess, 26 play carrom and 12 play both. How many play at least one of the two?
  10. 10.In a group of 44 children, 28 play chess, 20 play carrom and 9 play both. How many play neither of the two?
  11. 11.In a group of 47 children, 20 play chess, 27 play carrom and 7 play both. How many play neither of the two?
  12. 12.In a group of 40 children, 21 like mangoes, 14 like bananas and 2 like both. How many like exactly one of the two?
  13. 13.In a group of 27 children, 9 like mangoes, 20 like bananas and 3 like both. How many like exactly one of the two?
  14. 14.In a group of 25 children, 15 play cricket, 10 play football and 7 play both. How many play exactly one of the two?
  15. 15.In a group of 25 children, 8 sing Hindi songs, 11 sing English songs and 3 sing both. How many sing only Hindi songs?
  16. 16.In a group of 37 children, 16 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  17. 17.In a group of 18 children, 9 sing Hindi songs, 8 sing English songs and 2 sing both. How many sing exactly one of the two?
  18. 18.In a group of 57 children, 23 like mangoes, 28 like bananas and 8 like both. How many like neither of the two?
  19. 19.In a group of 22 children, 12 like mangoes, 12 like bananas and 6 like both. How many like exactly one of the two?
  20. 20.In a group of 33 children, 17 enjoy drawing, 11 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  21. 21.In a group of 53 children, 28 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  22. 22.In a group of 15 children, 10 play cricket, 9 play football and 5 play both. How many play only football?
  23. 23.In a group of 44 children, 11 enjoy drawing, 27 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  24. 24.In a group of 27 children, 12 like mangoes, 16 like bananas and 2 like both. How many like exactly one of the two?
  25. 25.In a group of 24 children, 5 play chess, 14 play carrom and 2 play both. How many play exactly one of the two?
  26. 26.In a group of 44 children, 24 play cricket, 21 play football and 6 play both. How many play only football?
  27. 27.In a group of 49 grown-ups, 27 drink tea, 18 drink coffee and 11 drink both. How many drink at least one of the two?
  28. 28.In a group of 42 children, 12 play cricket, 18 play football and 3 play both. How many play only cricket?
  29. 29.In a group of 30 children, 21 play cricket, 17 play football and 10 play both. How many play exactly one of the two?
  30. 30.In a group of 36 children, 18 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing exactly one of the two?
  31. 31.In a group of 39 grown-ups, 20 drink tea, 25 drink coffee and 7 drink both. How many drink neither of the two?
  32. 32.In a group of 33 children, 19 play cricket, 14 play football and 2 play both. How many play neither of the two?
  33. 33.In a group of 44 children, 27 play cricket, 14 play football and 7 play both. How many play only cricket?
  34. 34.In a group of 37 children, 20 play chess, 8 play carrom and 3 play both. How many play neither of the two?
  35. 35.In a group of 44 children, 22 sing Hindi songs, 13 sing English songs and 6 sing both. How many sing only English songs?
  36. 36.In a group of 32 grown-ups, 13 drink tea, 13 drink coffee and 4 drink both. How many drink at least one of the two?
  37. 37.In a group of 15 children, 8 play chess, 8 play carrom and 4 play both. How many play neither of the two?
  38. 38.In a group of 37 children, 23 play cricket, 17 play football and 6 play both. How many play exactly one of the two?
  39. 39.In a group of 32 children, 22 play cricket, 14 play football and 11 play both. How many play only football?
  40. 40.In a group of 31 children, 9 sing Hindi songs, 12 sing English songs and 2 sing both. How many sing at least one of the two?

Answer key

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

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