In the following question, select the related number pair from the given
alternatives.
19 : 363 :: ? : ?
The logic here is
$$363=19^2+2$$ $$\longrightarrow\ $$Â $$\text{second number}=\text{first number}^2+2$$
Similarly,
$$171=13^2+2$$Â $$\longrightarrow\ $$ $$\text{second number}=\text{first number}^2+2$$
$$\therefore\ $$13 : 171 are related in the same way 19 : 363 are related.
Hence, the correct answer is Option B
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