Find the exact value of the following question:

$$ 3{1\over2} × 3 {1\over 7}+ 5{3\over4}÷{46\over3}=?$$

The average weight of three men A, Band C is 84 kg. D joins them and the average weight of the four becomes 80 kg. If E whose weight is 3 kg more than that of D, replaces A, the average weight of B, C, D and E becomes 79 kg. The weight of A is: 

If 1.5 a=0.04 b then $$ {b-a\over b+a}$$.

If A : B = 3 : 2, then (3A – 2B): (2A – B) is equal to

Let x be the least number of 4 digit that when divided by 2, 3, 4, 5, 6 and 7 leaves a remainder of 1 in each case. If x lies between 2000 and 2500, then what is the sum of the digits of x?

A and B can do a piece of work in 40 days and 30 days respectively. They worked together for 12 days after that B was replaced by C. the work finish in next 8 days. In how many days C can alone finish the work?

The Ratio of monthly incomes of Ram and shyam is 6:5 and their monthly expenditure are in the ratio of 4:3. If each of them save Rs. 800 per month, find the sum of their monthly incomes.

Given that (a²+b²)=60, then find the value of (a+b)²+(a–b)².