Quantitative Aptitude - Arithmetic Ability Questions

ABCD is a rectangle. P is a point on the side AB as shown in the given figure. If Dp = 13, CP = 10

The mean of 20 observations is 19. One more observation is included and the new mean becomes 20. The 21st observation is

If (4x -­ 5) = (3x ­- 1), then the numerical value of (x + 4)2

If (5x – y)/(5x + y) = 3/7, then what is the value of (4x2 + y2 – 4xy)/(9x2 + 16y2 + 24xy) ?

Find the odd one out among the following.

Two cars travel from city A to city B at a speed of 30 and 45 km/hr respectively. If one car takes 2.5 hours lesser time than the other car for the journey, then the distance between City A and City B is:

Type 1 workers can do three times the work of Type 2 workers. Twelve Type 1 workers can complete a task in 10 days. How many days would it have taken 4 Type 1 and 8 Type 2 workers to complete the same task?

If a = 299, b = 298, c = 297 then the value of 2a3 + 2b3 + 2c3 - 6abc is