Quantitative Aptitude - Arithmetic Ability Questions

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

The area of a right angled triangle ABC, right angled at B, is 46 sq units. A median is drawn from A to BC which intersects at D. Find the area (in sq. units)of triangle ABD.

Given that tan(θ + 15°) = √3. Then the value of θ is?

What is the value of (cot30°+ 2/√3) ?

If 1/√(cosec2A - 1) = x, then value of x is

If (4x - 3) - (2x + 1) = 4, then the value of x is

In the given figure, AQ = 4√2 cm, QC = 6√2 cm and AB = 20 cm. If PQ is parallel to BC, then what is the value of PB (in cm) ?

If the angles of a triangle are in the ratio of 1 : 4 : 7, then find the ratio of the greatest angle to the smallest angle.