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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 608 · 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 33 children, 18 play chess, 18 play carrom and 5 play both. How many play only carrom?
  2. 2.In a group of 22 children, 15 like mangoes, 10 like bananas and 7 like both. How many like only bananas?
  3. 3.In a group of 30 children, 11 sing Hindi songs, 7 sing English songs and 3 sing both. How many sing only Hindi songs?
  4. 4.In a group of 34 children, 13 play cricket, 29 play football and 9 play both. How many play neither of the two?
  5. 5.In a group of 41 children, 13 play chess, 27 play carrom and 8 play both. How many play only chess?
  6. 6.In a group of 24 children, 9 sing Hindi songs, 11 sing English songs and 2 sing both. How many sing only English songs?
  7. 7.In a group of 42 children, 20 enjoy drawing, 26 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 57 children, 23 like mangoes, 23 like bananas and 4 like both. How many like only mangoes?
  9. 9.In a group of 47 children, 22 like mangoes, 19 like bananas and 3 like both. How many like neither of the two?
  10. 10.In a group of 30 children, 12 play cricket, 19 play football and 3 play both. How many play only cricket?
  11. 11.In a group of 43 children, 20 enjoy drawing, 15 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  12. 12.In a group of 38 children, 26 like mangoes, 12 like bananas and 7 like both. How many like only bananas?
  13. 13.In a group of 27 children, 12 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing only English songs?
  14. 14.In a group of 29 children, 22 like mangoes, 13 like bananas and 7 like both. How many like exactly one of the two?
  15. 15.In a group of 45 children, 21 play chess, 20 play carrom and 3 play both. How many play only chess?
  16. 16.In a group of 24 children, 14 play chess, 8 play carrom and 4 play both. How many play neither of the two?
  17. 17.In a group of 41 children, 21 like mangoes, 27 like bananas and 9 like both. How many like only mangoes?
  18. 18.In a group of 30 children, 14 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  19. 19.In a group of 25 children, 11 enjoy drawing, 13 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 20 children, 14 play chess, 6 play carrom and 2 play both. How many play only chess?
  21. 21.In a group of 34 children, 14 enjoy drawing, 16 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 41 children, 21 play chess, 19 play carrom and 8 play both. How many play at least one of the two?
  23. 23.In a group of 37 children, 12 sing Hindi songs, 18 sing English songs and 5 sing both. How many sing only Hindi songs?
  24. 24.In a group of 26 children, 9 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  25. 25.In a group of 48 children, 21 enjoy drawing, 25 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 45 children, 25 enjoy drawing, 18 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  27. 27.In a group of 56 children, 22 play cricket, 23 play football and 3 play both. How many play only cricket?
  28. 28.In a group of 30 children, 18 enjoy drawing, 18 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 30 children, 16 sing Hindi songs, 18 sing English songs and 7 sing both. How many sing only English songs?
  30. 30.In a group of 52 children, 23 play cricket, 30 play football and 10 play both. How many play only cricket?
  31. 31.In a group of 42 children, 23 sing Hindi songs, 27 sing English songs and 10 sing both. How many sing exactly one of the two?
  32. 32.In a group of 26 children, 6 play cricket, 18 play football and 2 play both. How many play only football?
  33. 33.In a group of 26 children, 20 like mangoes, 7 like bananas and 4 like both. How many like only mangoes?
  34. 34.In a group of 33 children, 16 like mangoes, 19 like bananas and 5 like both. How many like only bananas?
  35. 35.In a group of 37 children, 15 enjoy drawing, 26 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  36. 36.In a group of 46 grown-ups, 20 drink tea, 21 drink coffee and 9 drink both. How many drink neither of the two?
  37. 37.In a group of 37 children, 15 sing Hindi songs, 20 sing English songs and 11 sing both. How many sing exactly one of the two?
  38. 38.In a group of 38 children, 22 like mangoes, 14 like bananas and 10 like both. How many like at least one of the two?
  39. 39.In a group of 39 children, 21 enjoy drawing, 20 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  40. 40.In a group of 40 grown-ups, 30 drink tea, 15 drink coffee and 12 drink both. How many drink only coffee?

Answer key

  1. 13
  2. 3
  3. 8
  4. 1
  5. 5
  6. 9
  7. 20
  8. 19
  9. 9
  10. 9
  11. 8
  12. 5
  13. 3
  14. 21
  15. 18
  16. 6
  17. 12
  18. 18
  19. 7
  20. 12
  21. 11
  22. 32
  23. 7
  24. 13
  25. 41
  26. 33
  27. 19
  28. 27
  29. 11
  30. 13
  31. 30
  32. 16
  33. 16
  34. 14
  35. 15
  36. 14
  37. 13
  38. 26
  39. 8
  40. 3

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