Fill in the missing number:
3, 6, 21, 28, 55, 66, ?, 120

106

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108

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105

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102

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None of the above

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Solution

The correct option is C 105
Difference between successive terms are
3, 15, 7, 27, 11, ? -66, 120 - ?
Here, odd place terms form a series
3, 7, 11, 120 - ?
which is an A.P. with common difference 4 and even place terms form a series
15, 27, ? - 66
$∴$ 120 - ? = 11 + 4 = 15
$∴$ ? = 120 - 15 = 105.

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