Quantitative Aptitude - Arithmetic Ability Questions

What is the slope of the line parallel to the line passing through the points (6,­3) and (2,­1)?

A boat goes 15 km upstream and 10 1/2 km down stream in 3 hrs 15 min. It goes 12 km upstream and 14 km downstream in 3 hrs. What is the speed of the boat in still water?

In the circle above, chord AB is extended to meet the tangent DE at D. If AB = 5 cm and DE = 6 cm, find the length of BD.

In what ratio wheat costing Rs 17/kg mixed with another wheat costing Rs 12/kg to get a mixture costing Rs 13.5/ kg?

Ms. Kavitha borrowed Rs. 950 at 6% per annum simple interest. What amount will she pay to clear her debt after 4 years?

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

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

Find the value of p, if 2x -­ 4, 4x + p and 6x -­ 12 are in arithmetic progression.