Quantitative Aptitude - Arithmetic Ability Questions

The length of a rectangle is increased by 25%. To maintain the same area, the breadth has to be decreased by

What number should be added to each of the numbers 55, 100, 65 and 116, so that the resulting numbers are in continued proportion?

If 3x - 8(2 - x) = -19, then the value of x is

If 7x - [3(2x - 3)]/2 = 1/2, then what is the value of x?

In ΔXYZ measure of angle Y is 90 deg. If cot X = 5/12, and XY = 2.5 cm, then what is the length (in cm) of side XZ?

The ratio of present ages of Rasika and Shami is 7:5. After 17 years the ratio of their ages will be 12:11. What is Rasika's present age?

The average of 8 consecutive natural numbers is 38.5. What is the largest of these 8 numbers?

3 numbers whose average is 112, the first number is 1/6th the sum of other 2. What is the first number?