List of top Quantitative Aptitude Questions on Coordinate Geometry asked in CAT

A rectangle has a perimeter of 50 cm and an area of 150 cm². Find its length.
Find the distance between points (2, 3) and (5, 7).

The sum of the first $n$ natural numbers is 55. What is $n$? 
 

ABCD is a rectangle. Points \( P \) and \( Q \) lie on \( AD \) and \( AB \) respectively. If triangles \( PAQ, QBC, \) and \( PCD \) all have the same areas and \( BQ = 2 \), then \( AQ = \) ?
Find the area bounded by the curves $|x + y| = 1$, $|x| = 1$, $|y| = 1$.
ABCD is a rhombus with AC and BD intersecting at the origin. The equation of side AD is $x + y = 1$. What is the equation of BC?
From 5 points (4 vertices of a square + 1 intersection point of diagonals), how many triangles can be formed?
ABC is an equilateral triangle with AB = AC, and B is 2 km north of A. A person walks from B parallel to AC, stops when directly east of C (point D). Where is D with respect to A?
What is the total distance walked by the person (from B to D to E)?
A slab of ice 8 in × 11 in × 2 in is melted and recast into a cylinder of 8 in diameter. What is the length of the cylinder?