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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 213 · 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 26 children, 19 play cricket, 7 play football and 4 play both. How many play neither of the two?
  2. 2.In a group of 43 children, 30 play cricket, 22 play football and 11 play both. How many play only cricket?
  3. 3.In a group of 39 children, 23 enjoy drawing, 22 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 38 children, 13 play chess, 23 play carrom and 5 play both. How many play at least one of the two?
  5. 5.In a group of 54 children, 23 play chess, 23 play carrom and 4 play both. How many play neither of the two?
  6. 6.In a group of 38 children, 12 sing Hindi songs, 25 sing English songs and 6 sing both. How many sing exactly one of the two?
  7. 7.In a group of 17 children, 5 play chess, 9 play carrom and 2 play both. How many play exactly one of the two?
  8. 8.In a group of 45 children, 17 sing Hindi songs, 27 sing English songs and 7 sing both. How many sing only English songs?
  9. 9.In a group of 43 children, 27 enjoy drawing, 20 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  10. 10.In a group of 44 children, 27 play chess, 25 play carrom and 12 play both. How many play at least one of the two?
  11. 11.In a group of 39 children, 22 enjoy drawing, 17 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  12. 12.In a group of 63 grown-ups, 28 drink tea, 28 drink coffee and 8 drink both. How many drink exactly one of the two?
  13. 13.In a group of 14 children, 9 play cricket, 7 play football and 4 play both. How many play only football?
  14. 14.In a group of 46 children, 24 sing Hindi songs, 22 sing English songs and 6 sing both. How many sing exactly one of the two?
  15. 15.In a group of 35 children, 22 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  16. 16.In a group of 36 children, 13 sing Hindi songs, 13 sing English songs and 2 sing both. How many sing only Hindi songs?
  17. 17.In a group of 50 children, 21 enjoy drawing, 20 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  18. 18.In a group of 36 children, 19 enjoy drawing, 17 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  19. 19.In a group of 19 children, 14 sing Hindi songs, 10 sing English songs and 6 sing both. How many sing exactly one of the two?
  20. 20.In a group of 50 children, 31 sing Hindi songs, 22 sing English songs and 11 sing both. How many sing only Hindi songs?
  21. 21.In a group of 30 children, 14 play cricket, 18 play football and 11 play both. How many play only football?
  22. 22.In a group of 29 grown-ups, 23 drink tea, 13 drink coffee and 10 drink both. How many drink only tea?
  23. 23.In a group of 36 grown-ups, 19 drink tea, 12 drink coffee and 3 drink both. How many drink only tea?
  24. 24.In a group of 34 children, 12 sing Hindi songs, 17 sing English songs and 8 sing both. How many sing only Hindi songs?
  25. 25.In a group of 33 children, 12 play cricket, 23 play football and 5 play both. How many play only cricket?
  26. 26.In a group of 46 children, 29 sing Hindi songs, 20 sing English songs and 10 sing both. How many sing neither of the two?
  27. 27.In a group of 38 children, 19 enjoy drawing, 14 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  28. 28.In a group of 43 children, 26 play cricket, 21 play football and 6 play both. How many play exactly one of the two?
  29. 29.In a group of 33 children, 17 enjoy drawing, 18 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  30. 30.In a group of 18 children, 8 play cricket, 8 play football and 5 play both. How many play exactly one of the two?
  31. 31.In a group of 42 children, 13 sing Hindi songs, 21 sing English songs and 5 sing both. How many sing neither of the two?
  32. 32.In a group of 44 children, 24 enjoy drawing, 23 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  33. 33.In a group of 55 children, 22 play chess, 30 play carrom and 10 play both. How many play only chess?
  34. 34.In a group of 31 children, 16 enjoy drawing, 16 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  35. 35.In a group of 39 children, 18 like mangoes, 13 like bananas and 7 like both. How many like exactly one of the two?
  36. 36.In a group of 29 children, 16 like mangoes, 14 like bananas and 11 like both. How many like only mangoes?
  37. 37.In a group of 50 children, 29 play cricket, 27 play football and 11 play both. How many play only cricket?
  38. 38.In a group of 54 children, 22 enjoy drawing, 32 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 33 children, 28 play chess, 16 play carrom and 12 play both. How many play only carrom?
  40. 40.In a group of 27 children, 16 like mangoes, 6 like bananas and 3 like both. How many like at least one of the two?

Answer key

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

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