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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 342 · 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 38 grown-ups, 18 drink tea, 17 drink coffee and 6 drink both. How many drink neither of the two?
  2. 2.In a group of 24 children, 14 enjoy drawing, 14 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 33 children, 8 sing Hindi songs, 23 sing English songs and 3 sing both. How many sing only Hindi songs?
  4. 4.In a group of 48 grown-ups, 22 drink tea, 23 drink coffee and 8 drink both. How many drink only coffee?
  5. 5.In a group of 47 children, 16 play chess, 21 play carrom and 4 play both. How many play only chess?
  6. 6.In a group of 33 children, 23 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  7. 7.In a group of 12 children, 6 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing at least one of the two?
  8. 8.In a group of 45 children, 19 like mangoes, 32 like bananas and 12 like both. How many like only mangoes?
  9. 9.In a group of 40 children, 17 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  10. 10.In a group of 47 children, 22 enjoy drawing, 25 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  11. 11.In a group of 44 children, 11 play chess, 24 play carrom and 6 play both. How many play at least one of the two?
  12. 12.In a group of 33 children, 14 enjoy drawing, 15 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 43 children, 24 enjoy drawing, 10 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  14. 14.In a group of 34 children, 9 play cricket, 20 play football and 3 play both. How many play at least one of the two?
  15. 15.In a group of 25 children, 8 sing Hindi songs, 15 sing English songs and 2 sing both. How many sing only Hindi songs?
  16. 16.In a group of 36 children, 7 play cricket, 20 play football and 3 play both. How many play only cricket?
  17. 17.In a group of 44 children, 28 play chess, 16 play carrom and 11 play both. How many play only carrom?
  18. 18.In a group of 31 children, 10 play cricket, 16 play football and 5 play both. How many play only cricket?
  19. 19.In a group of 21 children, 13 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing only English songs?
  20. 20.In a group of 18 children, 13 sing Hindi songs, 9 sing English songs and 6 sing both. How many sing only Hindi songs?
  21. 21.In a group of 45 children, 23 play cricket, 19 play football and 10 play both. How many play only cricket?
  22. 22.In a group of 25 children, 14 enjoy drawing, 7 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  23. 23.In a group of 35 grown-ups, 19 drink tea, 15 drink coffee and 6 drink both. How many drink only coffee?
  24. 24.In a group of 46 children, 14 sing Hindi songs, 29 sing English songs and 11 sing both. How many sing at least one of the two?
  25. 25.In a group of 39 children, 18 like mangoes, 22 like bananas and 11 like both. How many like at least one of the two?
  26. 26.In a group of 24 children, 16 like mangoes, 11 like bananas and 8 like both. How many like neither of the two?
  27. 27.In a group of 50 children, 16 play cricket, 29 play football and 9 play both. How many play at least one of the two?
  28. 28.In a group of 28 children, 15 play chess, 20 play carrom and 8 play both. How many play only carrom?
  29. 29.In a group of 41 children, 14 play chess, 16 play carrom and 3 play both. How many play at least one of the two?
  30. 30.In a group of 32 children, 6 play chess, 14 play carrom and 2 play both. How many play only chess?
  31. 31.In a group of 56 children, 26 play chess, 29 play carrom and 12 play both. How many play neither of the two?
  32. 32.In a group of 47 children, 15 play cricket, 22 play football and 2 play both. How many play only cricket?
  33. 33.In a group of 32 children, 16 enjoy drawing, 18 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 57 children, 32 like mangoes, 26 like bananas and 12 like both. How many like at least one of the two?
  35. 35.In a group of 40 children, 28 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 46 grown-ups, 27 drink tea, 21 drink coffee and 10 drink both. How many drink exactly one of the two?
  37. 37.In a group of 23 children, 17 enjoy drawing, 9 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  38. 38.In a group of 35 children, 10 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing only English songs?
  39. 39.In a group of 40 children, 19 like mangoes, 30 like bananas and 11 like both. How many like only mangoes?
  40. 40.In a group of 37 children, 16 play chess, 25 play carrom and 8 play both. How many play only carrom?

Answer key

  1. 9
  2. 8
  3. 5
  4. 15
  5. 12
  6. 1
  7. 11
  8. 7
  9. 7
  10. 18
  11. 29
  12. 4
  13. 5
  14. 26
  15. 6
  16. 4
  17. 5
  18. 5
  19. 5
  20. 7
  21. 13
  22. 8
  23. 9
  24. 32
  25. 29
  26. 5
  27. 36
  28. 12
  29. 27
  30. 4
  31. 13
  32. 13
  33. 31
  34. 46
  35. 35
  36. 28
  37. 16
  38. 20
  39. 8
  40. 17

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