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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 604 · 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 35 children, 17 play chess, 19 play carrom and 2 play both. How many play only carrom?
  2. 2.In a group of 38 children, 14 sing Hindi songs, 22 sing English songs and 10 sing both. How many sing only English songs?
  3. 3.In a group of 44 children, 17 play cricket, 22 play football and 2 play both. How many play neither of the two?
  4. 4.In a group of 24 children, 14 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  5. 5.In a group of 26 children, 18 play chess, 6 play carrom and 2 play both. How many play neither of the two?
  6. 6.In a group of 53 children, 23 play cricket, 27 play football and 10 play both. How many play only cricket?
  7. 7.In a group of 48 children, 20 play chess, 22 play carrom and 4 play both. How many play at least one of the two?
  8. 8.In a group of 39 children, 29 enjoy drawing, 15 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  9. 9.In a group of 39 children, 30 like mangoes, 14 like bananas and 10 like both. How many like only mangoes?
  10. 10.In a group of 30 grown-ups, 16 drink tea, 14 drink coffee and 9 drink both. How many drink neither of the two?
  11. 11.In a group of 42 children, 19 play cricket, 21 play football and 3 play both. How many play only cricket?
  12. 12.In a group of 35 children, 14 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  13. 13.In a group of 37 children, 21 play chess, 20 play carrom and 9 play both. How many play neither of the two?
  14. 14.In a group of 28 children, 16 play chess, 17 play carrom and 11 play both. How many play neither of the two?
  15. 15.In a group of 36 children, 24 play cricket, 17 play football and 10 play both. How many play exactly one of the two?
  16. 16.In a group of 34 children, 16 play chess, 20 play carrom and 7 play both. How many play only chess?
  17. 17.In a group of 35 children, 28 play cricket, 17 play football and 11 play both. How many play exactly one of the two?
  18. 18.In a group of 37 children, 26 play cricket, 16 play football and 6 play both. How many play at least one of the two?
  19. 19.In a group of 41 children, 22 play cricket, 14 play football and 7 play both. How many play exactly one of the two?
  20. 20.In a group of 48 grown-ups, 17 drink tea, 24 drink coffee and 4 drink both. How many drink at least one of the two?
  21. 21.In a group of 35 children, 12 play chess, 21 play carrom and 4 play both. How many play exactly one of the two?
  22. 22.In a group of 32 children, 17 play chess, 21 play carrom and 11 play both. How many play at least one of the two?
  23. 23.In a group of 36 children, 17 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  24. 24.In a group of 47 children, 20 play cricket, 14 play football and 2 play both. How many play at least one of the two?
  25. 25.In a group of 42 children, 20 like mangoes, 22 like bananas and 11 like both. How many like at least one of the two?
  26. 26.In a group of 43 children, 21 enjoy drawing, 22 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 50 children, 31 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  28. 28.In a group of 48 children, 27 like mangoes, 19 like bananas and 8 like both. How many like only mangoes?
  29. 29.In a group of 32 children, 12 play chess, 14 play carrom and 3 play both. How many play only chess?
  30. 30.In a group of 34 children, 17 play chess, 16 play carrom and 12 play both. How many play only carrom?
  31. 31.In a group of 55 children, 23 play chess, 29 play carrom and 12 play both. How many play neither of the two?
  32. 32.In a group of 38 children, 15 enjoy drawing, 23 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  33. 33.In a group of 29 children, 14 sing Hindi songs, 16 sing English songs and 4 sing both. How many sing at least one of the two?
  34. 34.In a group of 52 grown-ups, 19 drink tea, 20 drink coffee and 2 drink both. How many drink at least one of the two?
  35. 35.In a group of 48 children, 29 like mangoes, 23 like bananas and 9 like both. How many like only mangoes?
  36. 36.In a group of 46 grown-ups, 21 drink tea, 19 drink coffee and 3 drink both. How many drink at least one of the two?
  37. 37.In a group of 48 children, 29 enjoy drawing, 29 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  38. 38.In a group of 57 children, 30 enjoy drawing, 29 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 22 children, 13 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  40. 40.In a group of 37 children, 9 like mangoes, 22 like bananas and 5 like both. How many like only mangoes?

Answer key

  1. 17
  2. 12
  3. 7
  4. 1
  5. 4
  6. 13
  7. 38
  8. 20
  9. 20
  10. 9
  11. 16
  12. 21
  13. 5
  14. 6
  15. 21
  16. 9
  17. 23
  18. 36
  19. 22
  20. 37
  21. 25
  22. 27
  23. 5
  24. 32
  25. 31
  26. 9
  27. 49
  28. 19
  29. 9
  30. 4
  31. 15
  32. 11
  33. 26
  34. 37
  35. 20
  36. 37
  37. 36
  38. 19
  39. 15
  40. 4

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