Question

2:9::64:? options a125,b275,c4225,d576

Answer 1

Hey, Its your answer.

2:9::64:X

We know that product of means and extremes are equal.
e.g. in a:b::c:d
Here,  a X d = b X c
Therefore, in 2:9::64:x
2 X x = 9 X 64
2x = 576
x = 288

Therefore, answer is 
2:9::64:288.

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Answer 2

This is clearly not a typical ratio question.

Here's one way of solving it:

2: (2+1)² = 3² =9

Similarly, 64: (64+1)²=65²=4225

In other words, add 1 to the first number and square it.

Hope this helps! :D