Fill in the missing number:
0, 3, 12, 30, ?, 105, 168

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None of the above

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Solution

The correct option is C 60
0, 3, 12, 30, ?, 105, 168
3, 9, 18, ? - 30, 105 - ?, 63
6, 9, ? - 48, 135 - 2?, ? - 42
If we take ? - 48 = 12, then ? = 60, with this choice 135 - 2? = 135 - 120 = 15
and, ? - 42 = 18
$∴$ 3rd row becomes
6, 9, 12, 15, 18,
which is an A.P. of common difference 3
$∴$ ? should be 60.

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