Quantitative Aptitude - Arithmetic Ability Questions

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.

What is the value of cot210°?

What is the slope of the line perpendicular to the line passing through the points (8,­2) and (3,­1)?

If (9 - 3x) - (17x - 10) = -1, then the value of x is

If (x ­- 2) (x -­ p) = x2 - ax + 6, then the value of (a -­ p) is

Two trees are standing along the opposite sides of a road. Distance between the two trees is 400 metres. There is a point on the road between the trees. The angle of depressions of the point from the top of the trees are 45 deg and 60 deg. If the height of the tree which makes 45 deg angle is 200 metres, then what will be the height (in metres) of the other tree?

If 3:27 :: 5:?

Select the odd word/letters/number/number pair from the given alternatives.