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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 478 · 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 48 children, 26 enjoy drawing, 27 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  2. 2.In a group of 37 children, 22 enjoy drawing, 21 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 35 children, 12 play chess, 21 play carrom and 2 play both. How many play only carrom?
  4. 4.In a group of 30 grown-ups, 18 drink tea, 12 drink coffee and 5 drink both. How many drink only coffee?
  5. 5.In a group of 37 children, 17 play chess, 17 play carrom and 4 play both. How many play only chess?
  6. 6.In a group of 25 children, 14 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  7. 7.In a group of 37 children, 11 play chess, 23 play carrom and 5 play both. How many play only chess?
  8. 8.In a group of 39 children, 13 enjoy drawing, 23 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  9. 9.In a group of 40 children, 16 play chess, 24 play carrom and 12 play both. How many play only chess?
  10. 10.In a group of 44 children, 18 play cricket, 27 play football and 8 play both. How many play at least one of the two?
  11. 11.In a group of 36 children, 22 enjoy drawing, 11 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  12. 12.In a group of 34 children, 17 play chess, 9 play carrom and 6 play both. How many play at least one of the two?
  13. 13.In a group of 27 children, 10 sing Hindi songs, 5 sing English songs and 2 sing both. How many sing exactly one of the two?
  14. 14.In a group of 38 children, 17 play chess, 22 play carrom and 5 play both. How many play exactly one of the two?
  15. 15.In a group of 21 children, 9 like mangoes, 11 like bananas and 5 like both. How many like only bananas?
  16. 16.In a group of 32 children, 20 sing Hindi songs, 14 sing English songs and 7 sing both. How many sing at least one of the two?
  17. 17.In a group of 28 children, 13 play cricket, 13 play football and 9 play both. How many play only football?
  18. 18.In a group of 31 children, 15 play chess, 8 play carrom and 5 play both. How many play neither of the two?
  19. 19.In a group of 32 children, 10 like mangoes, 18 like bananas and 5 like both. How many like at least one of the two?
  20. 20.In a group of 42 children, 19 sing Hindi songs, 28 sing English songs and 12 sing both. How many sing neither of the two?
  21. 21.In a group of 38 children, 11 play cricket, 16 play football and 3 play both. How many play exactly one of the two?
  22. 22.In a group of 39 children, 24 enjoy drawing, 8 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  23. 23.In a group of 40 children, 8 enjoy drawing, 22 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 49 children, 23 play cricket, 21 play football and 7 play both. How many play at least one of the two?
  25. 25.In a group of 33 children, 21 enjoy drawing, 19 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  26. 26.In a group of 17 children, 8 like mangoes, 10 like bananas and 4 like both. How many like at least one of the two?
  27. 27.In a group of 36 children, 11 enjoy drawing, 15 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  28. 28.In a group of 43 children, 25 like mangoes, 23 like bananas and 8 like both. How many like at least one of the two?
  29. 29.In a group of 29 children, 17 sing Hindi songs, 10 sing English songs and 3 sing both. How many sing at least one of the two?
  30. 30.In a group of 32 children, 19 play cricket, 14 play football and 3 play both. How many play only football?
  31. 31.In a group of 47 children, 22 like mangoes, 13 like bananas and 3 like both. How many like exactly one of the two?
  32. 32.In a group of 43 children, 23 play chess, 17 play carrom and 11 play both. How many play at least one of the two?
  33. 33.In a group of 25 children, 9 sing Hindi songs, 6 sing English songs and 3 sing both. How many sing only English songs?
  34. 34.In a group of 37 children, 14 play chess, 22 play carrom and 2 play both. How many play at least one of the two?
  35. 35.In a group of 49 children, 27 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 22 children, 11 play cricket, 7 play football and 3 play both. How many play only football?
  37. 37.In a group of 46 children, 20 sing Hindi songs, 31 sing English songs and 12 sing both. How many sing exactly one of the two?
  38. 38.In a group of 36 children, 28 play cricket, 11 play football and 8 play both. How many play only football?
  39. 39.In a group of 33 children, 14 play cricket, 13 play football and 3 play both. How many play only cricket?
  40. 40.In a group of 25 children, 13 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing exactly one of the two?

Answer key

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

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