Step 1: Identifying the Pattern.
The relationship between the numbers seems to follow a pattern where the first number is multiplied by itself to give the second number.
Step 2: Applying the Pattern.
For 19:361, we observe that \( 19^2 = 361 \).
Now, for 29, we calculate \( 29^2 = 841 \).
Step 3: Verifying the Options.
Option (1): 901 is not \( 29^2 \).
Option (2): 841 is the correct square of 29.
Option (3): 1000 is not the square of 29.
Option (4): 729 is the square of 27, not 29.