Cisco
CompTIA
ISC
EC-Council
EXIN
Fortinet
ITIL
Juniper
Microsoft
VMware
Avaya
SAP
Google
NVIDIA
Salesforce
Amazon
Palo Alto Networks
ISC2
Splunk
ServiceNow
All Vendors
  2. Home
  3. Exams
  4. GRE
  5. GRE Test

GRE GRE Test Exam Questions
Graduate Record Examination Test: Verbal, Quantitative, Analytical Writing (Page 19 )

Updated On: 10-Mar-2026
Page 19 of 119
PDF with 793 Questions



In the figure above, AB, CD, and EF are circular arcs of radius 2, centered at the vertices of the triangle.
What is the sum of the lengths of the three arcs?

  1. 6
  2. 4

  4. 2

Answer(s): D

Explanation:

The figure shows a triangle with three circular arcs: AB, CD, and EF, each having a radius of 2 and centered at the triangle's vertices.
Each arc subtends an angle of 60° (or /3 radians) at its respective center because the triangle appears to be an equilateral triangle where each internal angle is 60°.
The length of a circular arc is given by:

L = r where r is the radius and is the central angle in radians.





Two identical squares with sides of length s are oriented as shown in the figure so that all the shaded triangular regions have the same area. If the sum of the areas of the shaded regions is A, what is the area of the unshaded region, in terms of s and A?





  5. s2 - A

Answer(s): E

Explanation:

Each square has a side length of s, so the area of one square is:
Area of one square = s2
Since there are two identical squares, the total area before overlapping is:
Total area of two squares = 2s2

However, when the squares overlap, we must adjust for the shared central region.
The shaded regions (A) represent the areas outside the overlapping region.
The unshaded region consists of the central part where the squares overlap.
Since the total area of the two squares includes both the unshaded and shaded parts, the unshaded region is simply:
Unshaded Region = Total area of one square - Shaded Area
Since the overlap is fully within one square, the formula simplifies to:
s2 - A





In the figure shown, the area of the circular region is approximately 50 percent of the area of the shaded region. The area of the rectangular region is approximately what percent of the area of the circular region?

  1. 33%
  2. 75%
  3. 100%
  4. 150%
  5. 300%

Answer(s): E

Explanation:

Acircle = 0.5 × Ashaded
Ashaded = 2 × Acircle
Arectangle = Ashaded + Acircle
Arectangle = 2Acircle + Acircle
Arectangle = 3Acircle



3 × 100 = 300%





A homeowner wants to pour concrete for a new patio and walkway according to the layout shown above. If the concrete is to be 1/3 foot thick, how many cubic feet of concrete will be needed to form the patio and walkway?

  1. 60
  2. 50
  3. 40
  4. 30
  5. 20

Answer(s): C

Explanation:

A rectangular walkway:
Width = 3 feet

Height (length) = 8 feet

A patio with a trapezoidal shape:
Top base = 3 feet (same as the walkway width)

Bottom base = 13 feet (total width at the bottom)

Slanted sides (hypotenuse) = 13 feet each

Height = To be determined using the Pythagorean Theorem

Since the patio's bottom base is wider than the top base, we divide it into two right triangles on the sides. Each right triangle has:
Base = 5 feet

Hypotenuse = 13 feet

Using the Pythagorean Theorem:
(Height)2 + (Base)2 = (Hypotenuse)2
h2 + 52 = 132
h2 + 25 = 169
h2 =144
h =12 feet
The height of the trapezoidal patio is 12 feet.

The walkway is a rectangle, so its area is:
Area = Width × Height
= 3×8 = 24 square feet
The area of a trapezoid is given by:



Compute the Total Area:
Total Area = Area of Walkway + Area of Patio
= 24 + 96 = 120 square feet
Since the concrete thickness is 1/3 foot, the total volume is:
Volume = Total Area × Thickness



Which of the following represents the solution set of the inequality |x +2| 3?






Answer(s): D

Explanation:

I've opened the image, but it seems I'm unable to interpret it directly. However, based on the inequality x+2 3, we determined that the solution set is x -5 or x 1.
On a number line, this would be represented by shaded regions to the left of -5 and to the right of 1, including both -5 and 1.
You can check which of the options in the image represents this description: it should have shading starting at x = -5 and extending leftward, as well as shading starting at x = 1 and extending rightward.



Viewing page 19 of 119
Viewing questions 91 - 95 out of 793 questions



Post your Comments and Discuss GRE GRE Test exam dumps with other Community members:

GRE Test Exam Discussions & Posts

AI Tutor