Select the number-pair in which the two numbers are related in the same way as the two numbers of the given number-pair.
12 : 1716

Correct option is B

​$$\text{Given number pair: } 12 : 1716 \\[6pt]\text{Check the pattern:} \\12 \times (12 - 1) \times (12 + 1) = 12 \times 11 \times 13 = 1716 \\[8pt]\text{So the logic is: } n : n \times (n - 1) \times (n + 1) \\[12pt]\text{Apply this to the options:} \\\textbf{Option A: } 7 \times 6 \times 8 = 336 \neq 333 \quad \text{(Incorrect)} \\[6pt]\textbf{Option B: } 13 \times 12 \times 14 = 2184 \quad \text{(Correct)} \\[6pt]\textbf{Option C: } 9 \times 8 \times 10 = 720 \neq 718 \quad \text{(Incorrect)} \\[6pt]\textbf{Option D: } 6 \times 5 \times 7 = 210 \neq 202 \quad \text{(Incorrect)} \\[12pt]\Rightarrow \text{Correct number pair: } \boxed{13 : 2184}$$​​