Quantitative Aptitude - Arithmetic Ability Questions

A boat is moving away from an observation tower. It makes an angle of depression of 60° with an observer's eye when at a distance of 50m from the tower. After 8 sec., the angle of depression becomes 30°. By assuming that it is running in still water, the approximate speed of the boat is

If x2 + ax + b, when divided by x - 4, leaves a remainder of 32 and x2 + bx +a, when divided by x - 4, leaves a remainder of 35, then a + b = ?

What is the value of 643 × 121289 - 169 ?

A prism has a regular hexagonal base with side 6 cm. If the total surface area of prism is 216√3 cm2, then what is the height (in cm) of prism?

Length of three line segments isgiven. Is construction of a triangle possible with the segments in the given cases?

Possible length of the three sides of a triangle are :­

Find the total surface area (in cm²) of a right circular cylinder of diameter 42 cm and height 14 cm

In a mixture, sugar and milk are in the ratio 4 : 5. If 7 litres of milk is added to it, then the ratio of sugar and milk in the new mixture becomes 2 : 3. What is the total quantity (In litres) of sugar in new mixture?