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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 629 · 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, 30 play chess, 20 play carrom and 12 play both. How many play only carrom?
  2. 2.In a group of 23 children, 6 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 29 children, 18 play cricket, 15 play football and 6 play both. How many play exactly one of the two?
  4. 4.In a group of 40 children, 15 play chess, 25 play carrom and 9 play both. How many play only carrom?
  5. 5.In a group of 39 children, 9 like mangoes, 21 like bananas and 6 like both. How many like only bananas?
  6. 6.In a group of 33 children, 16 play chess, 8 play carrom and 2 play both. How many play exactly one of the two?
  7. 7.In a group of 34 children, 23 enjoy drawing, 17 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 35 grown-ups, 16 drink tea, 22 drink coffee and 7 drink both. How many drink neither of the two?
  9. 9.In a group of 41 children, 22 enjoy drawing, 23 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  10. 10.In a group of 35 children, 24 like mangoes, 10 like bananas and 4 like both. How many like neither of the two?
  11. 11.In a group of 39 children, 24 play chess, 23 play carrom and 9 play both. How many play only chess?
  12. 12.In a group of 22 children, 16 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  13. 13.In a group of 26 children, 16 play cricket, 18 play football and 9 play both. How many play only cricket?
  14. 14.In a group of 26 children, 10 play cricket, 17 play football and 3 play both. How many play only football?
  15. 15.In a group of 26 grown-ups, 14 drink tea, 22 drink coffee and 11 drink both. How many drink neither of the two?
  16. 16.In a group of 58 children, 29 enjoy drawing, 29 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  17. 17.In a group of 28 grown-ups, 10 drink tea, 12 drink coffee and 5 drink both. How many drink only tea?
  18. 18.In a group of 22 children, 7 like mangoes, 7 like bananas and 4 like both. How many like exactly one of the two?
  19. 19.In a group of 47 children, 16 like mangoes, 28 like bananas and 9 like both. How many like only mangoes?
  20. 20.In a group of 27 children, 8 like mangoes, 8 like bananas and 3 like both. How many like only mangoes?
  21. 21.In a group of 43 children, 24 enjoy drawing, 16 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  22. 22.In a group of 40 children, 23 like mangoes, 20 like bananas and 12 like both. How many like at least one of the two?
  23. 23.In a group of 43 children, 16 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 32 children, 13 sing Hindi songs, 12 sing English songs and 6 sing both. How many sing only English songs?
  25. 25.In a group of 30 children, 18 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 49 children, 24 play chess, 28 play carrom and 8 play both. How many play at least one of the two?
  27. 27.In a group of 24 children, 13 enjoy drawing, 9 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  28. 28.In a group of 20 children, 5 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  29. 29.In a group of 49 children, 28 enjoy drawing, 23 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 39 children, 15 like mangoes, 22 like bananas and 11 like both. How many like only bananas?
  31. 31.In a group of 26 children, 18 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  32. 32.In a group of 37 grown-ups, 20 drink tea, 27 drink coffee and 12 drink both. How many drink neither of the two?
  33. 33.In a group of 24 grown-ups, 9 drink tea, 17 drink coffee and 6 drink both. How many drink neither of the two?
  34. 34.In a group of 24 children, 8 play cricket, 15 play football and 2 play both. How many play only football?
  35. 35.In a group of 35 children, 25 enjoy drawing, 15 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  36. 36.In a group of 28 children, 6 sing Hindi songs, 21 sing English songs and 2 sing both. How many sing only English songs?
  37. 37.In a group of 44 children, 16 play cricket, 23 play football and 4 play both. How many play at least one of the two?
  38. 38.In a group of 35 children, 20 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 34 children, 18 play chess, 9 play carrom and 6 play both. How many play only carrom?
  40. 40.In a group of 38 children, 18 play chess, 17 play carrom and 9 play both. How many play exactly one of the two?

Answer key

  1. 8
  2. 4
  3. 21
  4. 16
  5. 15
  6. 20
  7. 10
  8. 4
  9. 29
  10. 5
  11. 15
  12. 5
  13. 7
  14. 14
  15. 1
  16. 20
  17. 5
  18. 6
  19. 7
  20. 5
  21. 20
  22. 31
  23. 12
  24. 6
  25. 15
  26. 44
  27. 16
  28. 9
  29. 13
  30. 11
  31. 23
  32. 2
  33. 4
  34. 13
  35. 5
  36. 19
  37. 35
  38. 14
  39. 3
  40. 17

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