765 is related to 876 following a certain logic. Following the same logic, 682 is related to 793.
To which of the following is 587 related, following the same logic?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

To solve this analogy problem, we need to determine the rule or mathematical pattern connecting the given pairs of numbers.

Step 1: Analyze the first pair (765 and 876)

Let us find the difference between 876 and 765:

$876-765=111$

This means 111 is added to 765 to get 876.

Step 2: Verify the logic with the second pair (682 and 793)

Let us check if adding 111 to 682 yields 793:

$682+111=793$

The logic holds true for both given pairs, where 111 is consistently added to the first number to get the second number.

Step 3: Apply the same logic to 587

Now, add 111 to 587 to find the missing related number:

$587+111=698$

Thus, following the same logic, 587 is related to 698.

Correct Answer: 698