The sum of the integers from $1$ to $100$ which are not divisible by $3$ or $5$ is
$2489$
$4735$
$2317$
$2632$
If the sum of the series $54 + 51 + 48 + .............$ is $513$, then the number of terms are
If $x,y,z$ are in $A.P. $ and ${\tan ^{ - 1}}x,{\tan ^{ - 1}}y$ and ${\tan ^{ - 1}}z$ are also in $A.P.$, then
If the sum of the first $n$ terms of a series be $5{n^2} + 2n$, then its second term is
The sums of $n$ terms of three $A.P.'s$ whose first term is $1$ and common differences are $1, 2, 3$ are ${S_1},\;{S_2},\;{S_3}$ respectively. The true relation is
The number of terms common to the two A.P.'s $3,7,11, \ldots ., 407$ and $2,9,16, \ldots . .709$ is