18 is related to 270 following a certain logic. Following the same logic, 21 is related to 315. To which of the following is 24 related, following the same logic?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their 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.)

The correct option is 360.

To find the correct relation, let us analyze the pattern between the given numbers in each pair.

First, let us examine the relationship between the numbers in the first pair, 18 and 270. We can determine the multiplier by dividing the second number by the first number:
$$270÷18=15$$
This shows that the second number is obtained by multiplying the first number by 15:
$$18\times 15=270$$

Now, let us verify if the same logic holds true for the second pair, 21 and 315. We multiply the first number by 15:
$$21\times 15=315$$
Since this matches the second number in the pair, the logic is consistent.

Following the same pattern, we can find the number related to 24 by multiplying it by 15:
$$24\times 15=360$$
Therefore, the number related to 24 following the same logic is 360.