← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 193 · 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 52 children, 23 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing only English songs?
  2. 2.In a group of 32 grown-ups, 14 drink tea, 23 drink coffee and 9 drink both. How many drink at least one of the two?
  3. 3.In a group of 47 children, 22 enjoy drawing, 23 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 19 children, 9 play chess, 11 play carrom and 4 play both. How many play only carrom?
  5. 5.In a group of 45 children, 21 play cricket, 22 play football and 6 play both. How many play at least one of the two?
  6. 6.In a group of 32 children, 19 like mangoes, 18 like bananas and 12 like both. How many like only mangoes?
  7. 7.In a group of 34 children, 23 enjoy drawing, 16 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  8. 8.In a group of 38 children, 8 play chess, 23 play carrom and 4 play both. How many play neither of the two?
  9. 9.In a group of 34 children, 11 play cricket, 23 play football and 3 play both. How many play at least one of the two?
  10. 10.In a group of 35 children, 23 play chess, 13 play carrom and 8 play both. How many play exactly one of the two?
  11. 11.In a group of 52 children, 22 play cricket, 20 play football and 3 play both. How many play neither of the two?
  12. 12.In a group of 29 children, 13 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing only Hindi songs?
  13. 13.In a group of 43 children, 21 play cricket, 22 play football and 3 play both. How many play only cricket?
  14. 14.In a group of 39 children, 18 play chess, 17 play carrom and 11 play both. How many play only carrom?
  15. 15.In a group of 37 children, 12 play chess, 22 play carrom and 7 play both. How many play only carrom?
  16. 16.In a group of 24 children, 12 like mangoes, 19 like bananas and 9 like both. How many like exactly one of the two?
  17. 17.In a group of 41 children, 22 play cricket, 12 play football and 8 play both. How many play only cricket?
  18. 18.In a group of 41 children, 25 play chess, 10 play carrom and 7 play both. How many play only carrom?
  19. 19.In a group of 27 children, 10 enjoy drawing, 19 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  20. 20.In a group of 32 children, 19 like mangoes, 20 like bananas and 9 like both. How many like only bananas?
  21. 21.In a group of 38 children, 24 enjoy drawing, 13 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  22. 22.In a group of 30 children, 9 sing Hindi songs, 10 sing English songs and 3 sing both. How many sing at least one of the two?
  23. 23.In a group of 46 children, 25 enjoy drawing, 25 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  24. 24.In a group of 50 children, 16 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  25. 25.In a group of 38 grown-ups, 24 drink tea, 14 drink coffee and 6 drink both. How many drink only tea?
  26. 26.In a group of 26 children, 9 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing only Hindi songs?
  27. 27.In a group of 28 children, 11 like mangoes, 14 like bananas and 3 like both. How many like exactly one of the two?
  28. 28.In a group of 31 children, 17 sing Hindi songs, 24 sing English songs and 12 sing both. How many sing neither of the two?
  29. 29.In a group of 44 children, 19 enjoy drawing, 22 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  30. 30.In a group of 42 children, 14 enjoy drawing, 21 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 39 children, 17 like mangoes, 29 like bananas and 10 like both. How many like only mangoes?
  32. 32.In a group of 47 children, 19 play cricket, 22 play football and 2 play both. How many play only cricket?
  33. 33.In a group of 48 children, 23 sing Hindi songs, 30 sing English songs and 10 sing both. How many sing exactly one of the two?
  34. 34.In a group of 47 children, 21 play cricket, 30 play football and 11 play both. How many play only cricket?
  35. 35.In a group of 49 children, 28 enjoy drawing, 17 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  36. 36.In a group of 29 children, 12 like mangoes, 10 like bananas and 3 like both. How many like neither of the two?
  37. 37.In a group of 25 children, 12 like mangoes, 17 like bananas and 7 like both. How many like at least one of the two?
  38. 38.In a group of 38 children, 15 sing Hindi songs, 20 sing English songs and 4 sing both. How many sing exactly one of the two?
  39. 39.In a group of 25 children, 16 like mangoes, 18 like bananas and 12 like both. How many like neither of the two?
  40. 40.In a group of 53 children, 23 play cricket, 32 play football and 12 play both. How many play only cricket?

Answer key

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

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