← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 330 · 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, 19 like mangoes, 14 like bananas and 4 like both. How many like only mangoes?
  2. 2.In a group of 36 children, 14 sing Hindi songs, 13 sing English songs and 3 sing both. How many sing only Hindi songs?
  3. 3.In a group of 38 children, 18 like mangoes, 14 like bananas and 8 like both. How many like only mangoes?
  4. 4.In a group of 29 children, 14 like mangoes, 16 like bananas and 10 like both. How many like exactly one of the two?
  5. 5.In a group of 21 children, 9 enjoy drawing, 15 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  6. 6.In a group of 47 children, 17 like mangoes, 17 like bananas and 2 like both. How many like only bananas?
  7. 7.In a group of 41 grown-ups, 21 drink tea, 23 drink coffee and 9 drink both. How many drink neither of the two?
  8. 8.In a group of 34 children, 14 enjoy drawing, 25 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  9. 9.In a group of 56 children, 22 like mangoes, 28 like bananas and 9 like both. How many like exactly one of the two?
  10. 10.In a group of 29 children, 15 sing Hindi songs, 14 sing English songs and 6 sing both. How many sing exactly one of the two?
  11. 11.In a group of 21 children, 11 like mangoes, 14 like bananas and 8 like both. How many like only mangoes?
  12. 12.In a group of 21 grown-ups, 13 drink tea, 10 drink coffee and 5 drink both. How many drink exactly one of the two?
  13. 13.In a group of 47 children, 27 like mangoes, 28 like bananas and 10 like both. How many like neither of the two?
  14. 14.In a group of 38 children, 20 sing Hindi songs, 7 sing English songs and 3 sing both. How many sing only Hindi songs?
  15. 15.In a group of 40 children, 19 play cricket, 18 play football and 2 play both. How many play only football?
  16. 16.In a group of 45 grown-ups, 23 drink tea, 24 drink coffee and 6 drink both. How many drink only coffee?
  17. 17.In a group of 52 children, 27 play cricket, 23 play football and 12 play both. How many play exactly one of the two?
  18. 18.In a group of 43 children, 23 play cricket, 16 play football and 5 play both. How many play exactly one of the two?
  19. 19.In a group of 28 children, 14 like mangoes, 14 like bananas and 5 like both. How many like only mangoes?
  20. 20.In a group of 40 children, 17 play chess, 24 play carrom and 8 play both. How many play only carrom?
  21. 21.In a group of 25 children, 13 play chess, 20 play carrom and 10 play both. How many play neither of the two?
  22. 22.In a group of 31 children, 16 like mangoes, 10 like bananas and 2 like both. How many like exactly one of the two?
  23. 23.In a group of 44 children, 22 enjoy drawing, 22 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  24. 24.In a group of 39 children, 18 play chess, 17 play carrom and 7 play both. How many play exactly one of the two?
  25. 25.In a group of 34 children, 14 enjoy drawing, 11 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  26. 26.In a group of 39 children, 15 play cricket, 31 play football and 12 play both. How many play only cricket?
  27. 27.In a group of 39 grown-ups, 15 drink tea, 27 drink coffee and 11 drink both. How many drink at least one of the two?
  28. 28.In a group of 40 children, 24 like mangoes, 15 like bananas and 4 like both. How many like exactly one of the two?
  29. 29.In a group of 34 children, 15 play chess, 18 play carrom and 4 play both. How many play only carrom?
  30. 30.In a group of 32 children, 24 like mangoes, 11 like bananas and 4 like both. How many like neither of the two?
  31. 31.In a group of 44 children, 31 play cricket, 18 play football and 12 play both. How many play only cricket?
  32. 32.In a group of 46 children, 15 play cricket, 27 play football and 9 play both. How many play neither of the two?
  33. 33.In a group of 42 children, 23 enjoy drawing, 16 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  34. 34.In a group of 39 children, 19 play cricket, 18 play football and 3 play both. How many play only cricket?
  35. 35.In a group of 35 children, 16 enjoy drawing, 15 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  36. 36.In a group of 37 children, 22 like mangoes, 12 like bananas and 2 like both. How many like only bananas?
  37. 37.In a group of 21 grown-ups, 13 drink tea, 13 drink coffee and 10 drink both. How many drink only coffee?
  38. 38.In a group of 40 children, 13 play chess, 20 play carrom and 7 play both. How many play only chess?
  39. 39.In a group of 35 children, 21 enjoy drawing, 17 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  40. 40.In a group of 39 children, 28 like mangoes, 14 like bananas and 11 like both. How many like neither of the two?

Answer key

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

Free logical reasoning lessons, practice and worksheets at talentjr.in/logical-reasoning