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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 525 · 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, 14 play cricket, 15 play football and 6 play both. How many play only football?
  2. 2.In a group of 42 children, 20 like mangoes, 23 like bananas and 9 like both. How many like at least one of the two?
  3. 3.In a group of 18 children, 10 play chess, 8 play carrom and 4 play both. How many play only chess?
  4. 4.In a group of 36 grown-ups, 15 drink tea, 26 drink coffee and 7 drink both. How many drink exactly one of the two?
  5. 5.In a group of 38 children, 19 play cricket, 9 play football and 3 play both. How many play exactly one of the two?
  6. 6.In a group of 30 children, 22 play chess, 13 play carrom and 6 play both. How many play only chess?
  7. 7.In a group of 27 children, 13 play cricket, 14 play football and 3 play both. How many play at least one of the two?
  8. 8.In a group of 33 children, 6 play chess, 20 play carrom and 2 play both. How many play exactly one of the two?
  9. 9.In a group of 46 children, 20 enjoy drawing, 21 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  10. 10.In a group of 47 children, 24 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing only English songs?
  11. 11.In a group of 30 children, 10 play chess, 18 play carrom and 7 play both. How many play only chess?
  12. 12.In a group of 55 children, 31 sing Hindi songs, 22 sing English songs and 12 sing both. How many sing at least one of the two?
  13. 13.In a group of 35 children, 22 like mangoes, 17 like bananas and 9 like both. How many like at least one of the two?
  14. 14.In a group of 29 children, 24 sing Hindi songs, 13 sing English songs and 10 sing both. How many sing only Hindi songs?
  15. 15.In a group of 40 children, 16 enjoy drawing, 20 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  16. 16.In a group of 42 children, 24 enjoy drawing, 15 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  17. 17.In a group of 39 children, 17 enjoy drawing, 21 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 45 children, 26 like mangoes, 17 like bananas and 10 like both. How many like only bananas?
  19. 19.In a group of 50 children, 26 play cricket, 22 play football and 8 play both. How many play only cricket?
  20. 20.In a group of 36 children, 19 play chess, 11 play carrom and 6 play both. How many play at least one of the two?
  21. 21.In a group of 42 children, 32 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  22. 22.In a group of 32 children, 11 play cricket, 17 play football and 4 play both. How many play only cricket?
  23. 23.In a group of 51 children, 19 play chess, 21 play carrom and 4 play both. How many play at least one of the two?
  24. 24.In a group of 25 children, 11 like mangoes, 15 like bananas and 3 like both. How many like neither of the two?
  25. 25.In a group of 43 children, 21 like mangoes, 18 like bananas and 9 like both. How many like only mangoes?
  26. 26.In a group of 36 children, 15 enjoy drawing, 22 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  27. 27.In a group of 37 children, 21 like mangoes, 18 like bananas and 4 like both. How many like exactly one of the two?
  28. 28.In a group of 57 children, 30 enjoy drawing, 27 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 23 grown-ups, 11 drink tea, 12 drink coffee and 6 drink both. How many drink only tea?
  30. 30.In a group of 33 children, 8 enjoy drawing, 23 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  31. 31.In a group of 35 children, 23 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing only Hindi songs?
  32. 32.In a group of 35 grown-ups, 9 drink tea, 18 drink coffee and 2 drink both. How many drink at least one of the two?
  33. 33.In a group of 48 children, 21 enjoy drawing, 26 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  34. 34.In a group of 41 children, 24 sing Hindi songs, 21 sing English songs and 8 sing both. How many sing only English songs?
  35. 35.In a group of 32 children, 14 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 42 grown-ups, 25 drink tea, 13 drink coffee and 8 drink both. How many drink neither of the two?
  37. 37.In a group of 39 children, 13 enjoy drawing, 22 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  38. 38.In a group of 23 children, 11 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  39. 39.In a group of 34 children, 15 like mangoes, 10 like bananas and 2 like both. How many like at least one of the two?
  40. 40.In a group of 29 children, 12 sing Hindi songs, 18 sing English songs and 9 sing both. How many sing only Hindi songs?

Answer key

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

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