Quantitative Aptitude - Arithmetic Ability Questions

Two cars travel from city A to city B at a speed of 36 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

P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?

If a - b = 1 and ab = 6, then what is the value of a3- b3?

If x/y = 4/9, then what is the value of (7x2 – 19xy + 11y2)/y2 ?

In an equilateral triangle of side 24 cms, a circle is inscribed touching its sides. The area of the remaining portion of the triangle is equal to

The length of the diagonal of a square is 12 cm. Find its area (in cm2).

If x = 999, y = 1000, z = 1001, then the value of x3+y3+z3-3xyzx-y+z is

Average age of A and B, 2 years ago was 26. If the age of A, 5 years hence is 40 years, and B is 5 years younger to C, then find the difference between the age of A and C?