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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 327 · 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 27 children, 8 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing only English songs?
  2. 2.In a group of 29 children, 17 play cricket, 17 play football and 8 play both. How many play neither of the two?
  3. 3.In a group of 36 children, 17 play cricket, 14 play football and 9 play both. How many play only cricket?
  4. 4.In a group of 42 children, 28 play chess, 19 play carrom and 8 play both. How many play only chess?
  5. 5.In a group of 24 children, 13 sing Hindi songs, 9 sing English songs and 6 sing both. How many sing neither of the two?
  6. 6.In a group of 32 children, 10 like mangoes, 21 like bananas and 6 like both. How many like at least one of the two?
  7. 7.In a group of 38 children, 26 sing Hindi songs, 15 sing English songs and 7 sing both. How many sing only English songs?
  8. 8.In a group of 44 grown-ups, 21 drink tea, 21 drink coffee and 2 drink both. How many drink exactly one of the two?
  9. 9.In a group of 36 children, 21 sing Hindi songs, 20 sing English songs and 8 sing both. How many sing neither of the two?
  10. 10.In a group of 49 children, 29 sing Hindi songs, 23 sing English songs and 10 sing both. How many sing only Hindi songs?
  11. 11.In a group of 30 children, 8 play cricket, 17 play football and 3 play both. How many play only cricket?
  12. 12.In a group of 46 children, 22 play chess, 21 play carrom and 2 play both. How many play only carrom?
  13. 13.In a group of 42 children, 18 play chess, 14 play carrom and 3 play both. How many play only chess?
  14. 14.In a group of 29 children, 17 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 29 children, 11 play cricket, 20 play football and 6 play both. How many play neither of the two?
  16. 16.In a group of 36 grown-ups, 20 drink tea, 9 drink coffee and 2 drink both. How many drink only tea?
  17. 17.In a group of 40 children, 22 play cricket, 18 play football and 7 play both. How many play neither of the two?
  18. 18.In a group of 43 children, 15 play cricket, 21 play football and 5 play both. How many play only cricket?
  19. 19.In a group of 54 children, 31 enjoy drawing, 26 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  20. 20.In a group of 25 children, 7 like mangoes, 18 like bananas and 4 like both. How many like exactly one of the two?
  21. 21.In a group of 50 children, 20 play cricket, 28 play football and 12 play both. How many play exactly one of the two?
  22. 22.In a group of 48 children, 14 like mangoes, 24 like bananas and 4 like both. How many like only bananas?
  23. 23.In a group of 25 children, 19 like mangoes, 15 like bananas and 12 like both. How many like exactly one of the two?
  24. 24.In a group of 41 children, 16 play cricket, 21 play football and 10 play both. How many play only cricket?
  25. 25.In a group of 44 children, 13 enjoy drawing, 27 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 31 children, 11 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 40 children, 19 play chess, 16 play carrom and 9 play both. How many play only chess?
  28. 28.In a group of 35 children, 16 sing Hindi songs, 9 sing English songs and 5 sing both. How many sing only English songs?
  29. 29.In a group of 42 children, 18 play chess, 22 play carrom and 3 play both. How many play exactly one of the two?
  30. 30.In a group of 39 children, 14 like mangoes, 23 like bananas and 4 like both. How many like only bananas?
  31. 31.In a group of 27 grown-ups, 8 drink tea, 8 drink coffee and 3 drink both. How many drink exactly one of the two?
  32. 32.In a group of 37 children, 16 play cricket, 25 play football and 12 play both. How many play only cricket?
  33. 33.In a group of 51 children, 21 like mangoes, 30 like bananas and 11 like both. How many like only bananas?
  34. 34.In a group of 45 children, 21 enjoy drawing, 21 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  35. 35.In a group of 37 children, 15 play chess, 19 play carrom and 6 play both. How many play only carrom?
  36. 36.In a group of 50 children, 22 play cricket, 18 play football and 5 play both. How many play only cricket?
  37. 37.In a group of 30 children, 7 play cricket, 19 play football and 2 play both. How many play only cricket?
  38. 38.In a group of 35 children, 18 like mangoes, 26 like bananas and 11 like both. How many like exactly one of the two?
  39. 39.In a group of 38 children, 10 sing Hindi songs, 23 sing English songs and 7 sing both. How many sing exactly one of the two?
  40. 40.In a group of 28 children, 22 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy only drawing?

Answer key

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

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