Quantitative Aptitude - Arithmetic Ability Questions

tan(A/2) is equal to

If 2x -3(x + 2) < 5 - 2x < -x + 2, then find the value of x.

The order of rotational symmetry of a rectangle is

In what ratio does the point T(x, 0) divide the segment joining the points S(5, 1) and U(-1, -2)?

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

If cos 60° - sec 30° = x, then the value of x is

If the length of a chord of a circle is equal to that of the radius of the circle, then the angle subtended, in radians, at the centre of the circle by chord is

In ΔPQR, ∠QPR = 45° and the bisectors of ∠PQR and ∠PRQ meets at O. What is the value (in degrees) of ∠QOR?