Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth term is related to the sixth term.
22 : 676 :: ? : 361 :: 2 : 36

Let's analyze the arithmetic relationship between the terms in the given pairs:
First Pair: 22:676
We know that 676=26
2
.
Notice that 26=22+4.
So, the relationship is: (22+4)
2
=26
2
=676.

Third Pair: 2:36
We know that 36=6
2
.
Notice that 6=2+4.
So, the relationship is: (2+4)
2
=6
2
=36.

The general pattern is: Second Term=(First Term+4)
2
.

Second Pair: ?:361
Let the missing number be x.

(x+4)
2
=361
Since 361=19
2
:

x+4=19
x=19−4=15
Hence, the correct option is B.