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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 124 · 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 46 children, 22 like mangoes, 12 like bananas and 3 like both. How many like only mangoes?
  2. 2.In a group of 48 grown-ups, 20 drink tea, 22 drink coffee and 3 drink both. How many drink exactly one of the two?
  3. 3.In a group of 23 children, 6 enjoy drawing, 17 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 27 children, 16 play chess, 18 play carrom and 11 play both. How many play exactly one of the two?
  5. 5.In a group of 22 children, 6 play cricket, 8 play football and 3 play both. How many play neither of the two?
  6. 6.In a group of 47 children, 24 sing Hindi songs, 24 sing English songs and 11 sing both. How many sing at least one of the two?
  7. 7.In a group of 50 grown-ups, 30 drink tea, 23 drink coffee and 11 drink both. How many drink at least one of the two?
  8. 8.In a group of 50 children, 29 enjoy drawing, 24 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 44 grown-ups, 24 drink tea, 22 drink coffee and 9 drink both. How many drink only tea?
  10. 10.In a group of 28 children, 11 like mangoes, 17 like bananas and 7 like both. How many like exactly one of the two?
  11. 11.In a group of 45 children, 23 play chess, 20 play carrom and 3 play both. How many play only carrom?
  12. 12.In a group of 30 children, 12 enjoy drawing, 12 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 34 grown-ups, 22 drink tea, 21 drink coffee and 12 drink both. How many drink neither of the two?
  14. 14.In a group of 30 children, 18 like mangoes, 13 like bananas and 10 like both. How many like only mangoes?
  15. 15.In a group of 25 children, 17 like mangoes, 15 like bananas and 8 like both. How many like exactly one of the two?
  16. 16.In a group of 46 children, 22 like mangoes, 13 like bananas and 3 like both. How many like only mangoes?
  17. 17.In a group of 33 children, 10 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 32 children, 26 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing at least one of the two?
  19. 19.In a group of 31 children, 12 like mangoes, 22 like bananas and 4 like both. How many like only mangoes?
  20. 20.In a group of 31 children, 12 like mangoes, 18 like bananas and 3 like both. How many like neither of the two?
  21. 21.In a group of 43 grown-ups, 23 drink tea, 20 drink coffee and 9 drink both. How many drink only coffee?
  22. 22.In a group of 34 children, 19 play chess, 17 play carrom and 12 play both. How many play only chess?
  23. 23.In a group of 38 children, 14 play cricket, 24 play football and 9 play both. How many play neither of the two?
  24. 24.In a group of 41 children, 20 play chess, 15 play carrom and 7 play both. How many play only chess?
  25. 25.In a group of 41 children, 28 play chess, 13 play carrom and 9 play both. How many play exactly one of the two?
  26. 26.In a group of 37 children, 21 sing Hindi songs, 15 sing English songs and 4 sing both. How many sing exactly one of the two?
  27. 27.In a group of 40 children, 15 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing neither of the two?
  28. 28.In a group of 33 children, 11 like mangoes, 21 like bananas and 2 like both. How many like only mangoes?
  29. 29.In a group of 39 children, 16 play cricket, 23 play football and 3 play both. How many play only football?
  30. 30.In a group of 34 children, 22 play cricket, 11 play football and 5 play both. How many play only cricket?
  31. 31.In a group of 33 children, 9 play chess, 18 play carrom and 4 play both. How many play only chess?
  32. 32.In a group of 39 children, 8 play cricket, 24 play football and 5 play both. How many play neither of the two?
  33. 33.In a group of 29 children, 9 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  34. 34.In a group of 37 children, 17 enjoy drawing, 17 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  35. 35.In a group of 45 children, 30 play cricket, 24 play football and 12 play both. How many play neither of the two?
  36. 36.In a group of 16 children, 9 play chess, 11 play carrom and 6 play both. How many play only chess?
  37. 37.In a group of 31 grown-ups, 26 drink tea, 10 drink coffee and 6 drink both. How many drink only coffee?
  38. 38.In a group of 29 children, 9 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 28 children, 14 play cricket, 11 play football and 5 play both. How many play at least one of the two?
  40. 40.In a group of 40 children, 29 enjoy drawing, 15 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?

Answer key

  1. 19
  2. 36
  3. 4
  4. 12
  5. 11
  6. 37
  7. 42
  8. 35
  9. 15
  10. 14
  11. 17
  12. 15
  13. 3
  14. 8
  15. 16
  16. 19
  17. 4
  18. 31
  19. 8
  20. 4
  21. 11
  22. 7
  23. 9
  24. 13
  25. 23
  26. 28
  27. 9
  28. 9
  29. 20
  30. 17
  31. 5
  32. 12
  33. 11
  34. 5
  35. 3
  36. 3
  37. 4
  38. 4
  39. 20
  40. 32

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