The correct answer is (C) 64
Let's break down why:
The problem is an analogy, meaning we need to find a similar relationship between the numbers.
First, let's analyze the first pair: 8 : 28
* Notice that 8 is 2 cubed (2 * 2 * 2 = 8) or 23
* 28 is close to 27, which is 3 cubed (3 * 3 * 3 = 27) or 33. It's actually 33 + 1
So, the relationship seems to be: x3 : (x+1)3 + 1
Now, let's apply this relationship to the second pair: 27 : ?
* 27 is 3 cubed (3 * 3 * 3 = 27) or 33
* Following the pattern, the next number should be (3+1)3 + 1
Calculate (3+1)3 + 1:
* (3+1) = 4
* 43 = 4 * 4 * 4 = 64
* Therefore, 33 : 43 + 1 is 33 : 65is equal to 27 : 65
Hence, the answer is 65.
