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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 458 · 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 20 children, 12 sing Hindi songs, 9 sing English songs and 3 sing both. How many sing only English songs?
  2. 2.In a group of 48 children, 22 enjoy drawing, 23 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  3. 3.In a group of 26 children, 17 enjoy drawing, 15 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  4. 4.In a group of 33 children, 12 play chess, 20 play carrom and 8 play both. How many play exactly one of the two?
  5. 5.In a group of 31 children, 14 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 21 children, 10 play chess, 6 play carrom and 3 play both. How many play at least one of the two?
  7. 7.In a group of 38 children, 19 play chess, 23 play carrom and 12 play both. How many play only chess?
  8. 8.In a group of 27 children, 17 like mangoes, 12 like bananas and 5 like both. How many like at least one of the two?
  9. 9.In a group of 49 children, 24 play cricket, 16 play football and 4 play both. How many play neither of the two?
  10. 10.In a group of 26 children, 18 like mangoes, 13 like bananas and 8 like both. How many like only mangoes?
  11. 11.In a group of 40 children, 14 like mangoes, 20 like bananas and 4 like both. How many like exactly one of the two?
  12. 12.In a group of 16 children, 8 play cricket, 7 play football and 2 play both. How many play only cricket?
  13. 13.In a group of 37 children, 16 play chess, 25 play carrom and 5 play both. How many play only chess?
  14. 14.In a group of 36 children, 15 enjoy drawing, 29 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  15. 15.In a group of 25 children, 14 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  16. 16.In a group of 33 children, 12 like mangoes, 18 like bananas and 9 like both. How many like neither of the two?
  17. 17.In a group of 35 grown-ups, 15 drink tea, 10 drink coffee and 4 drink both. How many drink at least one of the two?
  18. 18.In a group of 36 children, 20 enjoy drawing, 15 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  19. 19.In a group of 18 children, 12 play cricket, 13 play football and 9 play both. How many play at least one of the two?
  20. 20.In a group of 33 grown-ups, 19 drink tea, 17 drink coffee and 6 drink both. How many drink only coffee?
  21. 21.In a group of 17 children, 9 play chess, 7 play carrom and 2 play both. How many play neither of the two?
  22. 22.In a group of 49 children, 30 enjoy drawing, 23 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 50 children, 23 play cricket, 29 play football and 12 play both. How many play at least one of the two?
  24. 24.In a group of 41 grown-ups, 18 drink tea, 17 drink coffee and 5 drink both. How many drink only tea?
  25. 25.In a group of 29 children, 11 enjoy drawing, 9 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 52 children, 29 play cricket, 23 play football and 10 play both. How many play exactly one of the two?
  27. 27.In a group of 21 children, 15 play cricket, 14 play football and 9 play both. How many play only cricket?
  28. 28.In a group of 35 children, 17 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing only Hindi songs?
  29. 29.In a group of 20 children, 9 like mangoes, 10 like bananas and 6 like both. How many like only mangoes?
  30. 30.In a group of 46 children, 24 enjoy drawing, 16 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  31. 31.In a group of 46 children, 23 play chess, 27 play carrom and 9 play both. How many play neither of the two?
  32. 32.In a group of 23 children, 9 play cricket, 10 play football and 2 play both. How many play only cricket?
  33. 33.In a group of 44 children, 24 play chess, 26 play carrom and 7 play both. How many play exactly one of the two?
  34. 34.In a group of 51 children, 28 play cricket, 26 play football and 8 play both. How many play exactly one of the two?
  35. 35.In a group of 31 children, 15 like mangoes, 23 like bananas and 10 like both. How many like exactly one of the two?
  36. 36.In a group of 26 children, 16 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 30 children, 14 play chess, 15 play carrom and 5 play both. How many play neither of the two?
  38. 38.In a group of 37 children, 18 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  39. 39.In a group of 33 children, 11 enjoy drawing, 26 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  40. 40.In a group of 33 children, 23 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy only drawing?

Answer key

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

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