Quantitative Aptitude - Arithmetic Ability Questions

Which one of the following is true for 0°<θ<90°

If 4(2x + 3) > 5 -­ x and 5x - ­3(2x­ - 7) > 3x -­ 1, then x can take which of the following values?

If (7x -­ 13) ­ (12x + 3) = 14, then the value of x is ______ .

The simplified form of (x + 3)2 + (x - 1)2 is

What is the sum of the first 13 terms of an arithmetic progression if the 5th term is 1 and the 8th term is -17?

In what ratio is the segment joining (-1,-12) and (3,4) divided by the x-axis?

The lengths of the two diagonals of a rhombus are 8 cm and 15 cm respectively. Find its area (in cm²).

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.