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 ?