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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 281 · 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 34 children, 24 like mangoes, 16 like bananas and 11 like both. How many like neither of the two?
  2. 2.In a group of 44 children, 23 play cricket, 15 play football and 3 play both. How many play neither of the two?
  3. 3.In a group of 46 children, 24 play cricket, 20 play football and 8 play both. How many play at least one of the two?
  4. 4.In a group of 33 grown-ups, 18 drink tea, 11 drink coffee and 5 drink both. How many drink only tea?
  5. 5.In a group of 52 children, 25 enjoy drawing, 31 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 52 children, 21 like mangoes, 23 like bananas and 5 like both. How many like only bananas?
  7. 7.In a group of 37 grown-ups, 13 drink tea, 14 drink coffee and 4 drink both. How many drink exactly one of the two?
  8. 8.In a group of 43 children, 20 play chess, 20 play carrom and 6 play both. How many play only chess?
  9. 9.In a group of 39 grown-ups, 22 drink tea, 20 drink coffee and 4 drink both. How many drink exactly one of the two?
  10. 10.In a group of 28 children, 20 sing Hindi songs, 14 sing English songs and 10 sing both. How many sing only English songs?
  11. 11.In a group of 50 children, 32 play cricket, 29 play football and 12 play both. How many play only cricket?
  12. 12.In a group of 33 children, 21 like mangoes, 7 like bananas and 3 like both. How many like at least one of the two?
  13. 13.In a group of 31 children, 22 like mangoes, 12 like bananas and 7 like both. How many like neither of the two?
  14. 14.In a group of 41 children, 24 like mangoes, 15 like bananas and 10 like both. How many like neither of the two?
  15. 15.In a group of 31 grown-ups, 16 drink tea, 17 drink coffee and 4 drink both. How many drink exactly one of the two?
  16. 16.In a group of 37 children, 18 play chess, 16 play carrom and 5 play both. How many play exactly one of the two?
  17. 17.In a group of 43 children, 25 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  18. 18.In a group of 46 children, 15 play cricket, 30 play football and 12 play both. How many play only football?
  19. 19.In a group of 33 children, 24 play cricket, 13 play football and 6 play both. How many play only cricket?
  20. 20.In a group of 37 children, 28 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 31 children, 12 play cricket, 23 play football and 5 play both. How many play at least one of the two?
  22. 22.In a group of 37 children, 11 sing Hindi songs, 22 sing English songs and 2 sing both. How many sing at least one of the two?
  23. 23.In a group of 43 children, 21 like mangoes, 21 like bananas and 10 like both. How many like only bananas?
  24. 24.In a group of 35 children, 25 play cricket, 14 play football and 10 play both. How many play only football?
  25. 25.In a group of 29 children, 14 play chess, 10 play carrom and 4 play both. How many play exactly one of the two?
  26. 26.In a group of 35 children, 15 play cricket, 18 play football and 10 play both. How many play neither of the two?
  27. 27.In a group of 50 children, 23 play cricket, 23 play football and 9 play both. How many play only cricket?
  28. 28.In a group of 34 children, 10 play chess, 21 play carrom and 4 play both. How many play only chess?
  29. 29.In a group of 42 grown-ups, 18 drink tea, 18 drink coffee and 2 drink both. How many drink neither of the two?
  30. 30.In a group of 44 grown-ups, 20 drink tea, 23 drink coffee and 6 drink both. How many drink exactly one of the two?
  31. 31.In a group of 39 grown-ups, 20 drink tea, 27 drink coffee and 12 drink both. How many drink exactly one of the two?
  32. 32.In a group of 33 children, 10 sing Hindi songs, 12 sing English songs and 3 sing both. How many sing only Hindi songs?
  33. 33.In a group of 24 children, 12 like mangoes, 16 like bananas and 6 like both. How many like neither of the two?
  34. 34.In a group of 44 children, 17 like mangoes, 23 like bananas and 10 like both. How many like only mangoes?
  35. 35.In a group of 47 children, 17 play cricket, 31 play football and 11 play both. How many play exactly one of the two?
  36. 36.In a group of 16 children, 10 play cricket, 7 play football and 4 play both. How many play at least one of the two?
  37. 37.In a group of 44 grown-ups, 24 drink tea, 20 drink coffee and 8 drink both. How many drink at least one of the two?
  38. 38.In a group of 45 children, 22 like mangoes, 25 like bananas and 6 like both. How many like exactly one of the two?
  39. 39.In a group of 35 children, 13 play chess, 17 play carrom and 5 play both. How many play only chess?
  40. 40.In a group of 33 children, 16 play cricket, 9 play football and 3 play both. How many play only football?

Answer key

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

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