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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 153 · 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 37 children, 11 like mangoes, 24 like bananas and 7 like both. How many like only bananas?
  2. 2.In a group of 45 children, 17 play chess, 20 play carrom and 7 play both. How many play only carrom?
  3. 3.In a group of 36 children, 19 play cricket, 27 play football and 12 play both. How many play only football?
  4. 4.In a group of 28 children, 20 sing Hindi songs, 18 sing English songs and 12 sing both. How many sing only English songs?
  5. 5.In a group of 32 children, 16 like mangoes, 8 like bananas and 4 like both. How many like only mangoes?
  6. 6.In a group of 26 children, 12 like mangoes, 11 like bananas and 4 like both. How many like only bananas?
  7. 7.In a group of 44 children, 27 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing at least one of the two?
  8. 8.In a group of 36 children, 13 sing Hindi songs, 20 sing English songs and 2 sing both. How many sing only English songs?
  9. 9.In a group of 26 children, 11 enjoy drawing, 10 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  10. 10.In a group of 33 children, 24 like mangoes, 16 like bananas and 8 like both. How many like only bananas?
  11. 11.In a group of 21 grown-ups, 6 drink tea, 6 drink coffee and 2 drink both. How many drink exactly one of the two?
  12. 12.In a group of 43 children, 15 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 25 children, 12 like mangoes, 13 like bananas and 9 like both. How many like only mangoes?
  14. 14.In a group of 39 children, 18 play cricket, 26 play football and 11 play both. How many play only cricket?
  15. 15.In a group of 40 children, 32 enjoy drawing, 17 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  16. 16.In a group of 38 children, 25 sing Hindi songs, 22 sing English songs and 10 sing both. How many sing at least one of the two?
  17. 17.In a group of 33 children, 8 enjoy drawing, 22 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  18. 18.In a group of 35 children, 13 play cricket, 17 play football and 4 play both. How many play at least one of the two?
  19. 19.In a group of 28 children, 18 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  20. 20.In a group of 25 children, 14 play cricket, 15 play football and 11 play both. How many play only cricket?
  21. 21.In a group of 48 children, 23 play chess, 15 play carrom and 4 play both. How many play neither of the two?
  22. 22.In a group of 20 children, 9 play chess, 13 play carrom and 3 play both. How many play only carrom?
  23. 23.In a group of 48 children, 27 sing Hindi songs, 30 sing English songs and 11 sing both. How many sing exactly one of the two?
  24. 24.In a group of 36 children, 26 sing Hindi songs, 17 sing English songs and 9 sing both. How many sing at least one of the two?
  25. 25.In a group of 33 children, 16 play chess, 16 play carrom and 10 play both. How many play only chess?
  26. 26.In a group of 24 children, 20 play chess, 13 play carrom and 10 play both. How many play neither of the two?
  27. 27.In a group of 58 grown-ups, 27 drink tea, 29 drink coffee and 10 drink both. How many drink only coffee?
  28. 28.In a group of 34 children, 16 play cricket, 13 play football and 7 play both. How many play neither of the two?
  29. 29.In a group of 41 children, 23 like mangoes, 26 like bananas and 9 like both. How many like only mangoes?
  30. 30.In a group of 29 children, 20 play cricket, 12 play football and 6 play both. How many play exactly one of the two?
  31. 31.In a group of 38 children, 22 sing Hindi songs, 12 sing English songs and 4 sing both. How many sing exactly one of the two?
  32. 32.In a group of 38 children, 21 sing Hindi songs, 24 sing English songs and 12 sing both. How many sing exactly one of the two?
  33. 33.In a group of 42 children, 16 play chess, 29 play carrom and 12 play both. How many play exactly one of the two?
  34. 34.In a group of 43 children, 28 sing Hindi songs, 21 sing English songs and 10 sing both. How many sing only Hindi songs?
  35. 35.In a group of 53 grown-ups, 31 drink tea, 20 drink coffee and 11 drink both. How many drink at least one of the two?
  36. 36.In a group of 40 children, 20 play chess, 22 play carrom and 10 play both. How many play neither of the two?
  37. 37.In a group of 38 children, 22 play chess, 12 play carrom and 2 play both. How many play at least one of the two?
  38. 38.In a group of 41 children, 19 play cricket, 26 play football and 11 play both. How many play only cricket?
  39. 39.In a group of 53 children, 26 play cricket, 20 play football and 6 play both. How many play neither of the two?
  40. 40.In a group of 23 children, 13 enjoy drawing, 17 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?

Answer key

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

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