Quantitative Aptitude - Arithmetic Ability Questions

If a + b = 10 and ab = 24, then the value of a3 + b3 is

If a-1a=1, then a2 + 1a2 ?

The simplification value of 735+2-552+7+227+5 is

A right circular cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are

AB is a chord of the circle and its center is “O”. ON is perpendicular to AB. If the length of AB=20 cm, ON-(2√11) cm, find the radius (in cm) of the circle.

A solid cube is cut into 27 identical cubes. What is the percentage increase in the total surface area?

A train leaves Kazipet at 5 a.m. and reaches Bangalore at 3 p.m. Another train leaves Bangalore at 7 a.m. and reaches Kazipet at 5 p.m. When do the two trains meet? Assume that the trains travels at equal uniform speeds.

Find the value of sin230 cos245 + 4 tan230 + 1/2sin290 - 2 cos290 + 1/24