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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 484 · 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, 11 play chess, 19 play carrom and 4 play both. How many play only chess?
  2. 2.In a group of 26 children, 21 sing Hindi songs, 15 sing English songs and 11 sing both. How many sing only Hindi songs?
  3. 3.In a group of 58 children, 27 play cricket, 26 play football and 10 play both. How many play at least one of the two?
  4. 4.In a group of 32 grown-ups, 23 drink tea, 12 drink coffee and 5 drink both. How many drink only coffee?
  5. 5.In a group of 35 children, 14 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  6. 6.In a group of 24 children, 17 like mangoes, 17 like bananas and 12 like both. How many like only mangoes?
  7. 7.In a group of 30 children, 15 like mangoes, 22 like bananas and 8 like both. How many like exactly one of the two?
  8. 8.In a group of 33 children, 14 enjoy drawing, 23 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  9. 9.In a group of 35 children, 7 like mangoes, 23 like bananas and 4 like both. How many like neither of the two?
  10. 10.In a group of 37 children, 14 sing Hindi songs, 18 sing English songs and 5 sing both. How many sing at least one of the two?
  11. 11.In a group of 30 children, 13 play cricket, 17 play football and 10 play both. How many play at least one of the two?
  12. 12.In a group of 27 children, 6 sing Hindi songs, 20 sing English songs and 2 sing both. How many sing exactly one of the two?
  13. 13.In a group of 50 children, 24 play cricket, 26 play football and 8 play both. How many play only football?
  14. 14.In a group of 27 children, 16 sing Hindi songs, 16 sing English songs and 10 sing both. How many sing only Hindi songs?
  15. 15.In a group of 36 children, 5 sing Hindi songs, 22 sing English songs and 2 sing both. How many sing only English songs?
  16. 16.In a group of 43 children, 27 enjoy drawing, 22 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  17. 17.In a group of 30 children, 17 play cricket, 19 play football and 9 play both. How many play at least one of the two?
  18. 18.In a group of 33 children, 20 enjoy drawing, 15 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  19. 19.In a group of 42 children, 23 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 48 children, 18 like mangoes, 17 like bananas and 2 like both. How many like neither of the two?
  21. 21.In a group of 30 children, 7 play cricket, 18 play football and 4 play both. How many play exactly one of the two?
  22. 22.In a group of 45 children, 21 play chess, 23 play carrom and 3 play both. How many play at least one of the two?
  23. 23.In a group of 25 children, 13 like mangoes, 5 like bananas and 2 like both. How many like only mangoes?
  24. 24.In a group of 36 children, 26 play chess, 16 play carrom and 10 play both. How many play neither of the two?
  25. 25.In a group of 31 children, 15 like mangoes, 17 like bananas and 3 like both. How many like neither of the two?
  26. 26.In a group of 33 children, 20 like mangoes, 16 like bananas and 6 like both. How many like only mangoes?
  27. 27.In a group of 42 children, 22 enjoy drawing, 22 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  28. 28.In a group of 44 children, 23 play cricket, 26 play football and 6 play both. How many play at least one of the two?
  29. 29.In a group of 48 children, 23 like mangoes, 21 like bananas and 7 like both. How many like exactly one of the two?
  30. 30.In a group of 50 children, 16 play chess, 30 play carrom and 11 play both. How many play exactly one of the two?
  31. 31.In a group of 37 children, 17 play chess, 17 play carrom and 6 play both. How many play exactly one of the two?
  32. 32.In a group of 36 children, 20 play cricket, 23 play football and 11 play both. How many play neither of the two?
  33. 33.In a group of 43 children, 25 play chess, 13 play carrom and 8 play both. How many play at least one of the two?
  34. 34.In a group of 51 children, 29 like mangoes, 18 like bananas and 11 like both. How many like only mangoes?
  35. 35.In a group of 47 grown-ups, 21 drink tea, 21 drink coffee and 3 drink both. How many drink exactly one of the two?
  36. 36.In a group of 30 children, 14 enjoy drawing, 14 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  37. 37.In a group of 32 children, 26 play cricket, 10 play football and 7 play both. How many play at least one of the two?
  38. 38.In a group of 56 children, 28 play chess, 31 play carrom and 12 play both. How many play only carrom?
  39. 39.In a group of 36 children, 11 play cricket, 20 play football and 3 play both. How many play only football?
  40. 40.In a group of 31 children, 13 play chess, 16 play carrom and 5 play both. How many play exactly one of the two?

Answer key

  1. 7
  2. 10
  3. 43
  4. 7
  5. 21
  6. 5
  7. 21
  8. 17
  9. 9
  10. 27
  11. 20
  12. 22
  13. 18
  14. 6
  15. 20
  16. 20
  17. 27
  18. 9
  19. 18
  20. 15
  21. 17
  22. 41
  23. 11
  24. 4
  25. 2
  26. 14
  27. 34
  28. 43
  29. 30
  30. 24
  31. 22
  32. 4
  33. 30
  34. 18
  35. 36
  36. 11
  37. 29
  38. 19
  39. 17
  40. 19

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