Quantitative Aptitude - Arithmetic Ability Questions

What is the area (in sq cm) of a circle whose circumference is 26.4 cm?

The area of an equilateral triangle is 9√3 sq cm, find its perimeter?

In ΔABC, the angle bisector of ∠A cuts BC at E. Find the length of AC if lengths of AB, BE and EC are 9.6 cm, 4 cm and 3 cm?

What will be the roots of the quadratic equation x2 - 25x + 156 = 0?

The height of a tower is 300 meters. When its top is seen from top of another tower,then the angle of depression is 60°. The horizontal distance between the bases of the two towers is 120 metres. What is the height (in metres) of the small tower?

If a : b is 32 : 35 and b : c is 21 : 32, then a : c is?

The points A(3,­-2), B(1,4) and C(­-2,x) are collinear. What is the value of x?

In the given figure, AB is a diameter of the circle with center O and XY is the tangent at a point C. If ACX = 35 deg, then what is the value (in deg) of CAB?