Quantitative Aptitude - Arithmetic Ability Questions

A can do a piece of work in 8 days and B can do it in 10 days seperately. How many days would it take for both A and B to finish the same work together?

In a one day match of 50 overs in an innings the Team A had a run rate of 6.1 runs per over. Team B is playing and 10 overs are left and the required run rate to tie the match is 6.5 per over. What is Team B's score now?

The sum of 15 observations of a data is (434 + x). If the mean of the data is x, then the value of x is

Divide 20 into two parts such that the sum of the square of the parts is 232. What is the value of the two parts?

If 2 + 4x < 5 - x/2 and 3x + 3 > -5 - 3x; then x can take which of the following values?

Out of two numbers, 65% of the smaller number is equal to 45% of the larger number. If the sum of the numbers is 2574, then what is the value of larger number?.

If sinC + sinD =X, then the value of X is?

If a = 5, b = 4, c = 8 then find the value of (a3 + b3 + c3 - 3abc)/(ab + bc + ca - a2 - b2 - c2)