Explanation:

- Let's say Shreya's current age is \( S \) and her daughter's age is \( D \).

- One year ago, Shreya's age was \( S-1 \), and her daughter's age was \( D-1 \).

- At that time, Shreya was six times as old as her daughter, so \( S-1 = 6(D-1) \).

- Six years from now, Shreya’s age will be \( S+6 \) and her daughter’s will be \( D+6 \).

- At that time, Shreya's age will exceed her daughter’s by 30 years, so \( S+6 = D+6+30 \).

Now solve the equations:

1. \( S-1 = 6D-6 \) implies \( S = 6D - 5 \).

2. \( S + 6 = D + 36 \) implies \( S = D + 30 \).

Set the equations equal:

- \( 6D - 5 = D + 30 \)

- Solving gives \( D = 7 \) and \( S = 37 \).

Finally, calculate the age ratio: \( 37:7 \).

Correct Answer: Option 4 - 37 : 7