Quantitative Aptitude Practice Test #1

A piece of paper is in the shape of a right angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was a 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 34 square inches before the cut, what is the area (in square inches) of the smaller triangle?

ABCD is a rhombus with the diagonals AC and BD intersection at the origin on the x - y plane. The equation of the straight line AD is x + y = 1. What is the equation of B C?

A rectangle is drawn such that none of its sides has length greater than ‘a’. All lengths less than ‘a’ are equally likely. The chance that the rectangle has its diagonal greater than ‘a’ is (in terms of %)

Let ABCDEF be a regular hexagon. What is the ratio of the area of the triangle ACE to that of the hexagon ABCDEF?

In the figure given, OABC is a parallelogram. The area of the parallelogram is 21 sq units and the point C lies on the line x=3. Find the coordinates of B