Quantitative Aptitude - Arithmetic Ability Questions

If x - y = -9 and xy = -20, then find x2 + y2 ?

In the given figure, AB is a diameter of the circle with center O and XY is the tangent at a point C. If ACX = 35 deg, then what is the value (in deg) of CAB?

The average of three numbers is 40. First number is 4/3 of the third number. If third number is 20 less than second number, then what is the value of second number?

X is 25% more efficient than Y. If Y alone can make a chair in 10 days, then X alone can make the chair in how many days?

X alone can do a piece of work in 12 days and Y alone can do the same work in 6 days. In how many days will both together complete the same work?

If sin P + cosec P = 2, then the value of sin7P + cosec7P is

Find the circumference (in cm) of a circle of radius 10.5 cm

An angle is smaller than its supplementary angle by 70°. What is the measure of the angle?