Find the missing number in the series?
4, 18, ?, 100, 180, 294, 448

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Solution

The correct option is B 48
$2^{3} - 2^{2} = 8 - 4 = 4$
$3^{3} - 3^{2} = 27 - 9 = 18$
$4^{3} - 4^{2} = 64 - 16 = 48$
$5^{3} - 5^{2} = 125 - 25 = 100$
$6^{3} - 6^{2} = 216 - 36 = 180$
$7^{3} - 7^{2} = 343 - 49 = 294$
$8^{3} - 8^{2} = 512 - 64 = 448$
$∴ ? = 48$

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