Quantitative Aptitude - Arithmetic Ability Questions

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

If x + y = 10 and x2 + y2 = 68, then find xy

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

Rubi goes to a multiplex at the speed of 3 km/hr to see a movie and reaches 5 minutes late. If she travels at the speed of 4 Km/hr she reaches 5 minutes early. Then the distance of the multiplex from her starting point is

Mr. Murthy invested Rs. 16,000 in a scheme. How much will he get on matuirity, if he invested it at 20% per annum C.I. for 9 months, compounded quarterly?

ΔABC a right angled triangle has ∠B = 90° and AC is hypotenuse. D is its circumcentre and AB = 3 cms, BC = 4 cms. The value of BD is

Two cars travel from city A to city B at a speed of 30 and 48 km/hr respectively. If one car takes 3 hours lesser time than the other car for the journey, then the distance between City A and City B is

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