Quantitative Aptitude - Arithmetic Ability Questions

P(3,1) and R(-7,5) are vertices of a rhombus PQRS. What is the equation of diagonal QS?

If a2+b2+c2=83and a+b+c=15 then the value of ab+bc+ca is

What would be the smaller of the two angles formed by the hour hand and the minute hand at 4:52 p.m?

In the given figure, ABC is an equilateral triangle. Two circles of radius 4 cm and 12 cm are inscribed in the triangle. What is the side (in cm) of an equilateral triangle ?

If x+y+z = 1, 1/x + 1/y + 1/z = 1 and xyz = -1, then x3+y3+z3 is equal to

If 9x - [5(2x + 1)/2] = 9/2, then the value of x is?

In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is

In how many years will Rs 2,000 yield Rs 662 as compound interest at 10% per annum compounded annually?