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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 572 · 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 52 children, 20 play chess, 25 play carrom and 6 play both. How many play only carrom?
  2. 2.In a group of 30 children, 13 play chess, 22 play carrom and 9 play both. How many play exactly one of the two?
  3. 3.In a group of 21 children, 13 enjoy drawing, 13 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 35 children, 14 like mangoes, 26 like bananas and 9 like both. How many like only bananas?
  5. 5.In a group of 19 children, 10 play cricket, 11 play football and 6 play both. How many play neither of the two?
  6. 6.In a group of 43 children, 19 play cricket, 24 play football and 4 play both. How many play only football?
  7. 7.In a group of 19 children, 10 enjoy drawing, 11 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  8. 8.In a group of 44 children, 21 like mangoes, 27 like bananas and 10 like both. How many like at least one of the two?
  9. 9.In a group of 48 grown-ups, 26 drink tea, 25 drink coffee and 10 drink both. How many drink exactly one of the two?
  10. 10.In a group of 43 children, 24 like mangoes, 27 like bananas and 10 like both. How many like at least one of the two?
  11. 11.In a group of 32 children, 14 play cricket, 15 play football and 2 play both. How many play exactly one of the two?
  12. 12.In a group of 21 children, 10 sing Hindi songs, 12 sing English songs and 2 sing both. How many sing only Hindi songs?
  13. 13.In a group of 42 children, 22 sing Hindi songs, 9 sing English songs and 2 sing both. How many sing at least one of the two?
  14. 14.In a group of 28 children, 16 play chess, 14 play carrom and 9 play both. How many play neither of the two?
  15. 15.In a group of 33 children, 21 play chess, 16 play carrom and 12 play both. How many play only carrom?
  16. 16.In a group of 34 children, 24 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing at least one of the two?
  17. 17.In a group of 45 children, 29 sing Hindi songs, 18 sing English songs and 10 sing both. How many sing only Hindi songs?
  18. 18.In a group of 51 children, 30 sing Hindi songs, 22 sing English songs and 11 sing both. How many sing neither of the two?
  19. 19.In a group of 39 children, 18 sing Hindi songs, 23 sing English songs and 12 sing both. How many sing at least one of the two?
  20. 20.In a group of 50 children, 18 like mangoes, 29 like bananas and 10 like both. How many like exactly one of the two?
  21. 21.In a group of 40 children, 19 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing exactly one of the two?
  22. 22.In a group of 28 children, 12 like mangoes, 16 like bananas and 8 like both. How many like at least one of the two?
  23. 23.In a group of 31 grown-ups, 11 drink tea, 16 drink coffee and 8 drink both. How many drink only coffee?
  24. 24.In a group of 38 children, 20 enjoy drawing, 16 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 46 grown-ups, 28 drink tea, 22 drink coffee and 10 drink both. How many drink neither of the two?
  26. 26.In a group of 46 children, 27 sing Hindi songs, 26 sing English songs and 9 sing both. How many sing at least one of the two?
  27. 27.In a group of 41 children, 18 play cricket, 29 play football and 9 play both. How many play at least one of the two?
  28. 28.In a group of 32 children, 21 play cricket, 10 play football and 7 play both. How many play at least one of the two?
  29. 29.In a group of 22 children, 6 sing Hindi songs, 8 sing English songs and 2 sing both. How many sing at least one of the two?
  30. 30.In a group of 26 children, 15 play cricket, 15 play football and 5 play both. How many play exactly one of the two?
  31. 31.In a group of 39 children, 15 play chess, 26 play carrom and 11 play both. How many play neither of the two?
  32. 32.In a group of 39 children, 13 sing Hindi songs, 27 sing English songs and 8 sing both. How many sing only English songs?
  33. 33.In a group of 49 children, 26 like mangoes, 25 like bananas and 9 like both. How many like exactly one of the two?
  34. 34.In a group of 32 children, 23 play cricket, 11 play football and 5 play both. How many play exactly one of the two?
  35. 35.In a group of 24 children, 12 enjoy drawing, 17 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 41 grown-ups, 17 drink tea, 27 drink coffee and 11 drink both. How many drink only coffee?
  37. 37.In a group of 49 children, 27 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 29 children, 13 sing Hindi songs, 14 sing English songs and 9 sing both. How many sing only Hindi songs?
  39. 39.In a group of 25 children, 13 like mangoes, 15 like bananas and 4 like both. How many like only mangoes?
  40. 40.In a group of 35 children, 14 like mangoes, 13 like bananas and 5 like both. How many like exactly one of the two?

Answer key

  1. 19
  2. 17
  3. 7
  4. 17
  5. 4
  6. 20
  7. 17
  8. 38
  9. 31
  10. 41
  11. 25
  12. 8
  13. 29
  14. 7
  15. 4
  16. 28
  17. 19
  18. 10
  19. 29
  20. 27
  21. 14
  22. 20
  23. 8
  24. 14
  25. 6
  26. 44
  27. 38
  28. 24
  29. 12
  30. 20
  31. 9
  32. 19
  33. 33
  34. 24
  35. 4
  36. 16
  37. 15
  38. 4
  39. 9
  40. 17

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