Quantitative Aptitude - Arithmetic Ability Questions

The ratio of two positive numbers is 3:4. The sum of their squares is 400. What is the sum of the numbers?

In an army selection process, the ratio of selected to unselected was 3:1. If 60 less had applied and 30 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

If 1 dupatta is offered free on purchase of 4 dupattas priced Rs 1300 each what is the effective discount on each dupatta?

What is the value of Sin 30° + Cos 30°?

2sin[(C+D)/2].sin[(D­-C)/2] is equal to

Two smaller circles touch a large circle internally and pass through the center O of the larger circle. If the diameter of the bigger circle is 28 cm, thenwhat is the area of the bigger circle which is not enclosed by the two smaller circles (in sq.cm)?

An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and radius of the open end is 5 cm . When a few solid spherical metallic balls each of radius 1⁄2 cm are dropped in the vessel , 25% water is overflowed. The number of balls is:

The simple interest on a sum for 5 years is Rs 16800. The rate of interest for the first 3 years is 8% per annum and for the next 2 years is 12% per annum. What is the value (in Rs) of sum?