Must Solve Q51 level GMAT Question | GMAT Permutation Combination | GMAT Coordinate Geometry

GMAT Preparation Online | GMAT Permutation Combination | GMAT Coordinate Geometry | GMAT Sample Questions

This 700 level GMAT problem is a must solve GMAT quant question. It combines concepts from permutation combination and coordinate geometry.

Question
Rectangle ABCD is constructed in the xy-plane so that sides AB and CD are parallel to the x-axis. Both the x and y coordinates of all four vertices of the rectangle are integers. How many rectangles can be constructed if x and y coordinates satisfy the inequality that x greater than 11 and lesser than 29 and y greater than or equal to 5 and lesser than or equal to 13?

A. 153
B. 153C4
C. 4896
D. 2448
E. 5508

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