Quantitative Aptitude - Arithmetic Ability Questions

If 3x+22x+1 = a2x+1+bx+2 be an identity, then the value of b

Find the value of 6813+6413314

A cricketer, whose bowling average was 12.4 runs/wicket takes 5 wickets for 22 runs in a match, thereby decreases his average by 0.4. The number of wickets, taken by him before this match was:

In a mixture of 45 litres, the ratio of liquid A and liquid B is 7 : 2. If 11 litres of liquid B is added to the mixture, then what will be the ratio of liquid A and liquid B in the new mixture?

A solid cube is cut into 27 identical cubes. What is the percentage increase in the total surface area?

a, b and c are 3 values, such that a + b = 5, b + c = 7.5 and c + a = 8.5. What will be the average of these values?

The difference between the place values of 9 and 5 in the number 428693745 is

Cost price of an article is Rs 360. If the profit percentage is 32%, then what is the value (in Rs) of profit?