Quant Question Of The Day: 105
Numbers – Factorials
35! has 41 digits when written out can be printed as a diamond read row by row . What is the missing center digit ?
35! has 41 digits when written out can be printed as a diamond read row by row . What is the missing center digit ?
Since 35! is divisible by 9, so sum of digits should be a multiple of 9 .
1 + 0 + 3 + 3 + 3 + 1 + 4 + 7 + 9 + 6 + 6 + 3 + 8 + 6 + 1 + 4 + 4 + 9 + 2 + 9 + x + 6 + 6 + 6 + 5 + 1 + 3 + 3 + 7 + 5 + 2 + 3 + 2 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0
138 + x should be a multiple of 9.
therefore , x = 6 .
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