Select the correct answer19 : 367 :: ? : ?Options21 : 49121 : 44729 : 85031 : 963

The pattern in the given analogy is that the square of the first number plus 2 equals the second number.

For 19 : 367, we can see that 19^2 = 361, and 361 + 6 = 367.

Let's apply this pattern to the options:

Option 1: 21 : 491 21^2 = 441, and 441 + 6 = 447, not 491. So, this option is incorrect.

Option 2: 21 : 447 21^2 = 441, and 441 + 6 = 447. So, this option is correct.

Option 3: 29 : 850 29^2 = 841, and 841 + 6 = 847, not 850. So, this option is incorrect.

Option 4: 31 : 963 31^2 = 961, and 961 + 6 = 967, not 963. So, this option is incorrect.

Therefore, the correct answer is 21 : 447.