Quantitative Aptitude - Arithmetic Ability Questions

If  tan2A / (secA -­ 1)2 = x, then the value of x is

If 2x + 5 > 2 + 3x and 2x -­ 3 ≤ 4x -­ 5, then x can take which of the following values?

Common factor of 12a4b6, 18a6c2, 36a2b2 is

If a - b = 4 and ab = -3, then what is the value of a3- b3?

At what point does the line 2x + 5y = -6 cuts the X-axis?

The points A(x,2), B(­2,1) and C(6,­3) are collinear. Find x?

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.

The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at a height of 8 m from the ground, then the actual height of the tree is