Evaluate:

$\frac{1}{1*2}+\frac{1}{1*4}+\frac{1}{2*3}+\frac{1}{3*4}+\frac{1}{7*10}+---+$

 20th term?

Evaluate :

$\frac{1}{7^2-3^2}+\frac{1}{13^2-3^2}+\frac{1}{19^2-3^2}+---+\frac{1}{49^2-3^2}$

Evaluate :

$\frac{1}{2^2-1}+\frac{1}{4^2-1}+\frac{1}{6^2-1}+---+\frac{1}{20^2-1}$

Evaluate:

$\frac{1}{2*5}+\frac{1}{5*8}+\frac{1}{8*11}+---+\frac{1}{299*302}$

Evaluate :

$\frac{1}{3*7}+\frac{1}{7*11}+\frac{1}{11*15}+---+\frac{1}{899*903}$

Evaluate:

$\frac{1}{1*2}+\frac{1}{2*3}+\frac{1}{3*4}+---+\frac{1}{99*100}$

Evaluate :$\frac{222-----------9times}{9}$

$\frac{1111--------243times}{243}$

Evaluate :

$\frac{8888----------75times}{37}$

64329 is divided by a number then their are 3 consecutive reminders 175,114 and 213. Find the sum of digit of that divisors.

A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5  and 4 then the respective remainders will be ?