← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 139 · 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 40 children, 23 sing Hindi songs, 26 sing English songs and 12 sing both. How many sing exactly one of the two?
  2. 2.In a group of 49 children, 25 play chess, 26 play carrom and 12 play both. How many play exactly one of the two?
  3. 3.In a group of 35 children, 17 play chess, 26 play carrom and 9 play both. How many play only chess?
  4. 4.In a group of 22 children, 14 play chess, 8 play carrom and 2 play both. How many play only chess?
  5. 5.In a group of 33 children, 21 like mangoes, 13 like bananas and 6 like both. How many like only mangoes?
  6. 6.In a group of 38 children, 17 like mangoes, 23 like bananas and 9 like both. How many like only bananas?
  7. 7.In a group of 36 children, 25 sing Hindi songs, 15 sing English songs and 9 sing both. How many sing only Hindi songs?
  8. 8.In a group of 46 children, 20 play chess, 20 play carrom and 6 play both. How many play neither of the two?
  9. 9.In a group of 52 children, 19 enjoy drawing, 31 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  10. 10.In a group of 31 children, 23 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  11. 11.In a group of 35 children, 24 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  12. 12.In a group of 47 children, 21 play cricket, 19 play football and 8 play both. How many play only football?
  13. 13.In a group of 21 children, 6 enjoy drawing, 5 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  14. 14.In a group of 26 children, 8 sing Hindi songs, 10 sing English songs and 5 sing both. How many sing only English songs?
  15. 15.In a group of 35 children, 13 like mangoes, 18 like bananas and 9 like both. How many like only mangoes?
  16. 16.In a group of 34 children, 24 like mangoes, 14 like bananas and 9 like both. How many like exactly one of the two?
  17. 17.In a group of 31 children, 10 play chess, 12 play carrom and 3 play both. How many play only chess?
  18. 18.In a group of 36 children, 23 sing Hindi songs, 20 sing English songs and 12 sing both. How many sing exactly one of the two?
  19. 19.In a group of 42 children, 27 play chess, 15 play carrom and 7 play both. How many play only chess?
  20. 20.In a group of 32 children, 14 like mangoes, 23 like bananas and 10 like both. How many like exactly one of the two?
  21. 21.In a group of 51 children, 24 play cricket, 25 play football and 5 play both. How many play only cricket?
  22. 22.In a group of 31 children, 17 enjoy drawing, 20 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 39 children, 25 like mangoes, 22 like bananas and 10 like both. How many like neither of the two?
  24. 24.In a group of 26 children, 14 sing Hindi songs, 17 sing English songs and 8 sing both. How many sing neither of the two?
  25. 25.In a group of 29 children, 5 play cricket, 17 play football and 2 play both. How many play only cricket?
  26. 26.In a group of 23 children, 11 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  27. 27.In a group of 34 children, 17 play chess, 15 play carrom and 8 play both. How many play exactly one of the two?
  28. 28.In a group of 41 children, 22 play chess, 7 play carrom and 3 play both. How many play at least one of the two?
  29. 29.In a group of 42 children, 23 play chess, 22 play carrom and 8 play both. How many play neither of the two?
  30. 30.In a group of 40 children, 11 like mangoes, 22 like bananas and 8 like both. How many like at least one of the two?
  31. 31.In a group of 45 children, 16 like mangoes, 19 like bananas and 4 like both. How many like only bananas?
  32. 32.In a group of 19 children, 9 enjoy drawing, 11 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  33. 33.In a group of 44 children, 22 sing Hindi songs, 28 sing English songs and 12 sing both. How many sing only English songs?
  34. 34.In a group of 35 children, 17 sing Hindi songs, 17 sing English songs and 7 sing both. How many sing exactly one of the two?
  35. 35.In a group of 46 children, 30 like mangoes, 15 like bananas and 10 like both. How many like exactly one of the two?
  36. 36.In a group of 45 children, 20 sing Hindi songs, 22 sing English songs and 5 sing both. How many sing at least one of the two?
  37. 37.In a group of 40 children, 27 play cricket, 21 play football and 9 play both. How many play at least one of the two?
  38. 38.In a group of 40 children, 15 like mangoes, 26 like bananas and 9 like both. How many like only bananas?
  39. 39.In a group of 27 children, 14 play cricket, 18 play football and 9 play both. How many play only football?
  40. 40.In a group of 38 children, 15 like mangoes, 18 like bananas and 6 like both. How many like exactly one of the two?

Answer key

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

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