Quantitative Aptitude - Arithmetic Ability Questions

Simplify 486b3x2a4z3/27a3b2z

By which least number should 5000 be divided so that it becomes a perfect square?

Length and breadth of a rectangle are increased by 40% and 70% respectively. What will be the percentage increase in the area of rectangle?

ΔXYZ is right angled at Y. If cosX = 3/5, then what is the value of cosecZ ?

In the first 43 overs of a cricket match, the run rate was 5 runs/over. Calculate the required run rate in the remaining 7 overs to reach the target of 285 runs?

The ratio of present ages of Ramita and Satyajit is 9:7. After 9 years the ratio of their ages will be 5:4. What is Ramita's present age?

What is the area (in sq cm) of an equilateral triangle of side 6 cm?

The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?