Quantitative Aptitude - Arithmetic Ability Questions

A girl walking at the speed of 2 km/hr covers a certain distance in 7 hours 30 minutes. If she covers the same distance by cycle in 5 hours, then what is the speed (in km/hr) of cycle?

If 12x2 - ax + 7 = ax2 + 9x + 3 has only one (repeated) solution, then the positive integral solution of a is

5.16 x 3.2 =

In a rectangle _____.

The area of a rectangle is 448 sq.m. If the length is more than the breadth by 12%, find the breadth.

A and B together can finish a work in 30 days. They worked for it for 20 days and then B left the work. The remaining work was done by A alone in 20 days more. In how many days can A alone finish the work?

Find the least number that must be subtracted from 98534, to get a number exactly divisible by 824.

The length of the diameter of the circle is 10 cm and length of the chord drawn in a circle is 6 cm. Find the distance (in cm) of chord from the center.