Quantitative Aptitude - Arithmetic Ability Questions

If x -­ y = 7 and xy = 32, then value of (x2 + y2) is

When a number is increased by 69, it becomes 103% of itself. What is the number?

Excluding stoppages, the speed of a bus is 72 kmph and including stoppages, it is 60 kmph. For how many minutes does the bus stop per hour?

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

If x = 313- 3-13, then 3x3 + 9x value is

If cos ­-11π/6 = x, then the value of x is

In the question, two equations I and II are given. You have to solve both the equations and give answer

$$\begin{gathered} x2-11x+28=0 \\ y2-18y+81=0 \end{gathered}$$

Direction: What should come in the place of question mark (?) in the following number series? 24, 25, ?, 41, -8, 73