List of top Quantitative Aptitude Questions on Geometry

This triangular prism has a height of 3 feet and a length of 7 feet. What is the surface area of the prism? Round to the nearest tenth. 

The diagram represents a square \(ABCD\) with a semi-circle directly attached to its side. If the area of the figure is \(16 + 2\pi\), what is its outer perimeter? 

What is the slope of the line shown? 

Given circle \(O\) with a diameter of \(2\) and square \(ABCD\) inscribed within circle \(O\), what is the area of the shaded region (circle minus square)?

The figure above represents a square photograph bordered by a frame that has a uniform width of 3 inches. If the frame and the picture have the same area, and each of the photograph's sides measures x inches, which of the following equations is true?
On the xy-plane, the center of circle C is at point (3, -2). If the point (10, -2) lies outside of the circle and the point (3, 3) lies inside of the circle, which of the following could be the radius of the circle?
Line p is defined by the equation \(2y + 3x = 6\).
Quantity A: The y-intercept of line p.
Quantity B: The x-intercept of line p.
The graph of which of the following equations is a straight line that is parallel to line M in the figure above and intersects the negative direction of Y-axis?
Indicate all such equations.
[Note: Select one or more answer choices]
\includegraphics[width=0.7\linewidth]{04.png}
How much does the volume of a sphere increase if its radius is increased by 50%?
An acute isosceles triangle has two sides with length \(a\) and one side length \(b\). The length of side \(a = 39\) ft. If the length of \(b = \tfrac{1}{2}a\), what is the perimeter of the triangle?
Quantity A: the area of a right triangle with sides 10, 24, 26
Quantity B: twice the area of a right triangle with sides 5, 12, 13
Which of the following is true?
What is the length of an edge of a cube with a surface area of \(1350 \, \text{in}^2\)?
Quantity A: The volume of a cylinder with radius 3 and height 4
Quantity B: 3 times the volume of a cone with radius 3 and height 4
Which of the following is true?
If rectangle \(ABCD\) has a perimeter of 68, and the longer edge is 2.4 times longer than the shorter edge, then how long is the diagonal \(AC\)?
Which point could lie on the circle with radius 5 and center \( (1, 2) \)?
Quantity A: The diameter of a circle with area of \( 109\pi \)
Quantity B: The diameter of a circle with circumference of \( 22\pi \)
Which of the following is true?
If \(m\) is a line that has a \(y\)-intercept of 3 and an \(x\)-intercept of 7, which of the following is the equation of a line that is perpendicular to \(m\)?
Quantity A: The slope of the line parallel to \( 5x = 15y - 12 \)
Quantity B: The slope of the line parallel to \( 2y = -23x - 14 \)
Which of the following is true?
There is a line defined by two end-points, \( (11, -5) \) and \( (a, b) \). The midpoint between these two points is \( (-6, -21) \). What is the value of the point \( (a, b) \)?
If a sphere has a volume of \(268.08 \, \text{in}^3\), what is the approximate radius of the sphere?
A right circular cylinder of volume \(200\pi\) has a height of 8. Quantity A: 10. Quantity B: The circumference of the base.
What is the length of the diagonal of a cube that has a surface area of \(726 \, \text{in}^2\)?
One side of an equilateral triangle is equal to 1. Quantity A: The area of the triangle. Quantity B: 12.
What is the equation of a line passing through the two points \((41,11)\) and \((4,-9)\)?
Quantity A: Double the measure of a single interior angle of an equilateral triangle.
Quantity B: The measure of a single interior angle of a (regular) hexagon.
Which statement is true?