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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 464 · 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 15 children, 6 play chess, 10 play carrom and 2 play both. How many play only carrom?
  2. 2.In a group of 35 children, 26 play chess, 11 play carrom and 6 play both. How many play only chess?
  3. 3.In a group of 28 children, 15 play chess, 21 play carrom and 10 play both. How many play neither of the two?
  4. 4.In a group of 51 children, 27 sing Hindi songs, 30 sing English songs and 11 sing both. How many sing neither of the two?
  5. 5.In a group of 26 children, 14 like mangoes, 19 like bananas and 10 like both. How many like only bananas?
  6. 6.In a group of 38 children, 21 play chess, 8 play carrom and 2 play both. How many play only carrom?
  7. 7.In a group of 29 children, 11 enjoy drawing, 13 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 28 children, 14 like mangoes, 14 like bananas and 2 like both. How many like only mangoes?
  9. 9.In a group of 50 children, 29 enjoy drawing, 20 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 37 children, 15 play cricket, 21 play football and 8 play both. How many play exactly one of the two?
  11. 11.In a group of 36 grown-ups, 22 drink tea, 9 drink coffee and 2 drink both. How many drink only tea?
  12. 12.In a group of 42 children, 20 play chess, 20 play carrom and 3 play both. How many play exactly one of the two?
  13. 13.In a group of 37 children, 21 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  14. 14.In a group of 34 children, 24 play cricket, 12 play football and 8 play both. How many play only cricket?
  15. 15.In a group of 30 children, 10 like mangoes, 20 like bananas and 7 like both. How many like only mangoes?
  16. 16.In a group of 38 children, 23 sing Hindi songs, 12 sing English songs and 8 sing both. How many sing only English songs?
  17. 17.In a group of 30 children, 9 play chess, 10 play carrom and 2 play both. How many play only chess?
  18. 18.In a group of 20 children, 7 enjoy drawing, 13 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  19. 19.In a group of 30 children, 13 play cricket, 17 play football and 6 play both. How many play at least one of the two?
  20. 20.In a group of 22 children, 9 play chess, 16 play carrom and 4 play both. How many play only chess?
  21. 21.In a group of 28 children, 12 enjoy drawing, 15 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  22. 22.In a group of 31 children, 14 like mangoes, 18 like bananas and 2 like both. How many like only mangoes?
  23. 23.In a group of 38 children, 12 play chess, 21 play carrom and 3 play both. How many play at least one of the two?
  24. 24.In a group of 20 grown-ups, 11 drink tea, 6 drink coffee and 3 drink both. How many drink only tea?
  25. 25.In a group of 30 children, 18 like mangoes, 13 like bananas and 5 like both. How many like neither of the two?
  26. 26.In a group of 53 children, 20 play cricket, 26 play football and 6 play both. How many play only cricket?
  27. 27.In a group of 27 children, 6 play chess, 20 play carrom and 2 play both. How many play only carrom?
  28. 28.In a group of 41 children, 26 enjoy drawing, 17 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  29. 29.In a group of 18 children, 10 play cricket, 9 play football and 5 play both. How many play neither of the two?
  30. 30.In a group of 51 children, 25 sing Hindi songs, 21 sing English songs and 9 sing both. How many sing neither of the two?
  31. 31.In a group of 21 children, 14 like mangoes, 9 like bananas and 6 like both. How many like only bananas?
  32. 32.In a group of 37 grown-ups, 18 drink tea, 16 drink coffee and 4 drink both. How many drink only tea?
  33. 33.In a group of 45 grown-ups, 25 drink tea, 18 drink coffee and 12 drink both. How many drink only coffee?
  34. 34.In a group of 36 children, 9 sing Hindi songs, 25 sing English songs and 6 sing both. How many sing neither of the two?
  35. 35.In a group of 38 children, 20 sing Hindi songs, 21 sing English songs and 4 sing both. How many sing only Hindi songs?
  36. 36.In a group of 45 children, 28 play chess, 16 play carrom and 10 play both. How many play at least one of the two?
  37. 37.In a group of 49 children, 20 like mangoes, 24 like bananas and 10 like both. How many like at least one of the two?
  38. 38.In a group of 13 children, 6 sing Hindi songs, 6 sing English songs and 2 sing both. How many sing only Hindi songs?
  39. 39.In a group of 26 children, 21 enjoy drawing, 13 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  40. 40.In a group of 47 children, 13 sing Hindi songs, 28 sing English songs and 9 sing both. How many sing at least one of the two?

Answer key

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

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