Question

10 is related to 102 following a certain logic. Following the same logic, 13 is related to 171. To which of the following is 16 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.)

• A. 265
• B. 268
• C. 258
• D. 251

Answer 1

Answer:

C. 258

Check the pattern:

$(10 \rightarrow 102)$
$10^2 + 2 = 100 + 2 = 102$
$(13 \rightarrow 171)$
$13^2 + 2 = 169 + 2 = 171$

Pattern:

$n \rightarrow n^2 + 2$

Apply to 16:

$16^2 + 2 = 256 + 2 = 258$

Final Answer: 258