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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 159 · 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 43 children, 24 play chess, 23 play carrom and 9 play both. How many play only chess?
  2. 2.In a group of 48 children, 23 play cricket, 28 play football and 11 play both. How many play exactly one of the two?
  3. 3.In a group of 46 children, 15 play cricket, 30 play football and 11 play both. How many play neither of the two?
  4. 4.In a group of 42 children, 21 sing Hindi songs, 19 sing English songs and 7 sing both. How many sing only Hindi songs?
  5. 5.In a group of 34 children, 21 play cricket, 19 play football and 12 play both. How many play only football?
  6. 6.In a group of 39 children, 25 like mangoes, 15 like bananas and 9 like both. How many like exactly one of the two?
  7. 7.In a group of 31 children, 18 sing Hindi songs, 9 sing English songs and 6 sing both. How many sing only Hindi songs?
  8. 8.In a group of 38 children, 25 sing Hindi songs, 20 sing English songs and 12 sing both. How many sing only English songs?
  9. 9.In a group of 26 children, 7 sing Hindi songs, 8 sing English songs and 2 sing both. How many sing neither of the two?
  10. 10.In a group of 50 grown-ups, 25 drink tea, 25 drink coffee and 5 drink both. How many drink only tea?
  11. 11.In a group of 40 children, 20 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  12. 12.In a group of 23 children, 12 like mangoes, 7 like bananas and 4 like both. How many like only mangoes?
  13. 13.In a group of 43 children, 20 like mangoes, 16 like bananas and 7 like both. How many like only mangoes?
  14. 14.In a group of 53 children, 23 sing Hindi songs, 25 sing English songs and 10 sing both. How many sing only English songs?
  15. 15.In a group of 34 children, 24 play cricket, 12 play football and 7 play both. How many play neither of the two?
  16. 16.In a group of 31 children, 22 play cricket, 9 play football and 4 play both. How many play only football?
  17. 17.In a group of 42 children, 14 play chess, 21 play carrom and 7 play both. How many play exactly one of the two?
  18. 18.In a group of 35 children, 14 play chess, 21 play carrom and 7 play both. How many play only chess?
  19. 19.In a group of 35 children, 25 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  20. 20.In a group of 52 children, 24 enjoy drawing, 23 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  21. 21.In a group of 37 children, 28 enjoy drawing, 12 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  22. 22.In a group of 20 children, 13 like mangoes, 12 like bananas and 6 like both. How many like only bananas?
  23. 23.In a group of 32 children, 16 sing Hindi songs, 16 sing English songs and 12 sing both. How many sing only Hindi songs?
  24. 24.In a group of 31 children, 14 play cricket, 22 play football and 10 play both. How many play at least one of the two?
  25. 25.In a group of 30 children, 22 like mangoes, 8 like bananas and 5 like both. How many like only mangoes?
  26. 26.In a group of 31 children, 20 like mangoes, 12 like bananas and 8 like both. How many like at least one of the two?
  27. 27.In a group of 35 children, 14 play chess, 16 play carrom and 9 play both. How many play at least one of the two?
  28. 28.In a group of 38 children, 16 play chess, 17 play carrom and 7 play both. How many play only chess?
  29. 29.In a group of 45 children, 23 like mangoes, 23 like bananas and 4 like both. How many like neither of the two?
  30. 30.In a group of 32 children, 22 play chess, 13 play carrom and 9 play both. How many play exactly one of the two?
  31. 31.In a group of 47 children, 31 enjoy drawing, 23 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  32. 32.In a group of 39 children, 17 enjoy drawing, 24 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  33. 33.In a group of 24 children, 10 enjoy drawing, 15 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 38 children, 15 play chess, 12 play carrom and 3 play both. How many play neither of the two?
  35. 35.In a group of 34 children, 14 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  36. 36.In a group of 46 children, 24 play chess, 15 play carrom and 6 play both. How many play only chess?
  37. 37.In a group of 37 children, 9 like mangoes, 21 like bananas and 2 like both. How many like only mangoes?
  38. 38.In a group of 39 children, 22 enjoy drawing, 18 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 32 children, 16 play chess, 12 play carrom and 7 play both. How many play neither of the two?
  40. 40.In a group of 48 children, 27 enjoy drawing, 30 enjoy dancing and 11 enjoy both. How many enjoy only dancing?

Answer key

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

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