Quantitative Aptitude - Arithmetic Ability Questions

If the length of the side of an equilateral triangle is 8 cm, what is its area?

The area of a triangle with vertices A (0, 8) , O (0,0) and B (5, 0) is:

The ratio of two numbers is 3 : 7. If their product is 1344, then what is the sum of both the numbers?

Which of the numbers given below is the square root of 14161?

The ratio of the sides of a triangular shaped park is 3 : 4 : 5 and the perimeter of the park is 170 m. What is the perpendicular distance in meters from the vertex, opposite to the largest side of the park?

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 + c = 9 and ab + bc + ca = 18, then what is the value of a3 + b3 + c3 – 3abc?

If α and β are roots of the equation 3x2 – 13x + 14 = 0, then what is the value of (α/β) + (β/α)?