Solve the given analogy: If 3:81 then 4:

Correct option is A

Given:

The analogy is 3 : 81 then 4 : ? .

We need to determine the relationship between 3 and 81 and apply it to 4.

Formula Used:

The relationship can be expressed as:

Result = $$n^4$$​

where n is the first number in the analogy.

Solution:

1. Verify the relationship for 3 : 81 :

- Substitute n = 4 into the formula:

Result = $$3^4$$​

- Calculate:

$$3^4 = 81$$​

2. Apply the same formula to 4 :

- Substitute n = 4 :

Result = $$4^4$$​

- Calculate:

$$4^4 = 256$$​

Final Answer:

The number corresponding to 4 is 256 .