11 is related to 121 by certain logic. Following the same logic, 21 is related to 441. To which of the following is 31 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.)
Correct Answer :
961
Solution :
The correct answer is 961.
Let us analyze the relationship between the numbers given in the problem statement:
First pair: 11 is related to 121.
If we square the first number, we get:
112 = 11 × 11 = 121.
Second pair: 21 is related to 441.
Following the same logic, squaring the first number yields:
212 = 21 × 21 = 441.
Now, applying the same logic to find the number related to 31:
We need to calculate the square of 31:
312 = 31 × 31 = 961.
Therefore, 31 is related to 961.
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