Discussion

What should come in place of question mark (?) in the following number series?

132 156 ? 210 240 272

Answer: B

The missing number is 182.

Each term is the product of two consecutive numbers:

\[ \begin{aligned} 132 &= 11 \times 12 \\ 156 &= 12 \times 13 \\ ? &= 13 \times 14 = 182 \\ 210 &= 14 \times 15 \end{aligned} \]

The pattern continues with \(240 = 15 \times 16\) and \(272 = 16 \times 17\). The differences 24, 26, 28, 30, 32 confirm it.

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