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1.
The value of 
is
is
2.
If 
then 
then
3.
If 
then 
equals
then equals
4.
Sum of 
terms of the following series 
is
terms of the following series is
5.
If the sum of an infinitely decreasing G.P. is 3, and the sum of the squares of its terms is 
the sum of the cubes of the terms is
the sum of the cubes of the terms is
6.
If 
and 
where 
and 
are proper fractions, then 
equals
and where and are proper fractions, then equals
7.
Let the harmonic mean and the geometric mean of two numbers be in the ration 
The two numbers are in the ratio
The two numbers are in the ratio
8.
If 
then 
equals to
then equals to
9.
The number of solutions of 
is
is
10.
If the interior angles of a polygon are in A.P. with common difference 
and smallest angle is 
then the number of sides of the polygon is
and smallest angle is then the number of sides of the polygon is