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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 690 · 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 29 grown-ups, 21 drink tea, 7 drink coffee and 3 drink both. How many drink exactly one of the two?
  2. 2.In a group of 17 children, 8 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 38 children, 16 play chess, 13 play carrom and 5 play both. How many play exactly one of the two?
  4. 4.In a group of 40 children, 21 play cricket, 24 play football and 12 play both. How many play only cricket?
  5. 5.In a group of 30 children, 11 play cricket, 16 play football and 3 play both. How many play only football?
  6. 6.In a group of 48 children, 26 play chess, 14 play carrom and 6 play both. How many play exactly one of the two?
  7. 7.In a group of 44 children, 28 play cricket, 19 play football and 9 play both. How many play only football?
  8. 8.In a group of 36 children, 16 play chess, 20 play carrom and 3 play both. How many play only carrom?
  9. 9.In a group of 40 children, 19 play cricket, 27 play football and 7 play both. How many play exactly one of the two?
  10. 10.In a group of 35 children, 14 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing neither of the two?
  11. 11.In a group of 29 children, 16 play cricket, 5 play football and 2 play both. How many play neither of the two?
  12. 12.In a group of 42 children, 19 sing Hindi songs, 17 sing English songs and 9 sing both. How many sing at least one of the two?
  13. 13.In a group of 27 children, 13 play cricket, 16 play football and 5 play both. How many play neither of the two?
  14. 14.In a group of 48 children, 25 like mangoes, 24 like bananas and 11 like both. How many like at least one of the two?
  15. 15.In a group of 30 grown-ups, 18 drink tea, 15 drink coffee and 5 drink both. How many drink only tea?
  16. 16.In a group of 33 children, 15 play chess, 20 play carrom and 3 play both. How many play only carrom?
  17. 17.In a group of 26 children, 8 enjoy drawing, 15 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  18. 18.In a group of 37 children, 16 like mangoes, 25 like bananas and 5 like both. How many like exactly one of the two?
  19. 19.In a group of 38 children, 20 play cricket, 6 play football and 3 play both. How many play only football?
  20. 20.In a group of 27 grown-ups, 9 drink tea, 14 drink coffee and 4 drink both. How many drink exactly one of the two?
  21. 21.In a group of 28 children, 18 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  22. 22.In a group of 39 children, 24 sing Hindi songs, 24 sing English songs and 11 sing both. How many sing only Hindi songs?
  23. 23.In a group of 37 children, 17 like mangoes, 16 like bananas and 8 like both. How many like only mangoes?
  24. 24.In a group of 29 children, 13 like mangoes, 9 like bananas and 2 like both. How many like only bananas?
  25. 25.In a group of 25 children, 13 play chess, 16 play carrom and 8 play both. How many play neither of the two?
  26. 26.In a group of 47 children, 22 sing Hindi songs, 23 sing English songs and 3 sing both. How many sing exactly one of the two?
  27. 27.In a group of 33 children, 16 play cricket, 10 play football and 7 play both. How many play neither of the two?
  28. 28.In a group of 38 children, 21 play chess, 16 play carrom and 8 play both. How many play exactly one of the two?
  29. 29.In a group of 34 children, 14 play chess, 21 play carrom and 6 play both. How many play only chess?
  30. 30.In a group of 41 children, 19 sing Hindi songs, 13 sing English songs and 6 sing both. How many sing at least one of the two?
  31. 31.In a group of 44 grown-ups, 21 drink tea, 11 drink coffee and 3 drink both. How many drink at least one of the two?
  32. 32.In a group of 28 children, 12 play cricket, 9 play football and 2 play both. How many play exactly one of the two?
  33. 33.In a group of 38 children, 9 sing Hindi songs, 23 sing English songs and 5 sing both. How many sing exactly one of the two?
  34. 34.In a group of 41 children, 18 like mangoes, 16 like bananas and 8 like both. How many like exactly one of the two?
  35. 35.In a group of 48 children, 18 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  36. 36.In a group of 32 children, 12 sing Hindi songs, 12 sing English songs and 5 sing both. How many sing only Hindi songs?
  37. 37.In a group of 33 children, 11 play chess, 21 play carrom and 4 play both. How many play at least one of the two?
  38. 38.In a group of 40 children, 17 like mangoes, 21 like bananas and 9 like both. How many like at least one of the two?
  39. 39.In a group of 32 children, 12 play cricket, 20 play football and 3 play both. How many play exactly one of the two?
  40. 40.In a group of 25 children, 12 play cricket, 15 play football and 4 play both. How many play neither of the two?

Answer key

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

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