GRE math practice: Assess your basic GRE geometry knowledge with free GRE quantitative questions

Find the approx area of the shaded portion in the above figure. All the three circles are identical with diameter 14 cm

   7.8
   9.8
   6
   5
   None of the Above

Q2.

A faulty scale always makes an error of 5% in excess while measuring. What is the percentage of error if a rectangle is measured by the scale

   9
   10.25
   3
   Cannot Be Determined
   None of the Above

Q3.

Find the value of X in the above figure

   120°
   30°
   150°
   Cannot Be Determined
   None of the Above

Q4.

Length of a rectangle is increased by 10% and breadth is decreased by 10%. What is the change in the area of the rectangle

   10% decrease
   1% increase
   10% increase
   1% decrease
   None of the Above

Q5.

A man makes an angle of elevation of 60° while looking at the top of the pole. He starts moving towards the pole. After some time the angle of elevation was 30° . If the height of the pole is 9m, how much total distance the man has travelled (Assume the height of the person as negligible)

   12m
   12√3m
   36m
   18m
   None of the Above

Q6.

In the above figure AD, BE and CF are medians to the sides BC, AC and AB respectively. If AB = 5 cm. AC = 5 cm and BC = 6 cm. What is the area of the triangle DEF

   12 cm²
   3 cm²
   6 cm²
   9 cm²
   5 cm²

Q7.

A hollow cylinder of height 7 cm and base radius 4 cm is melted to form a cube of side 2 cm. How many such cubes are possible

   44
   34
   50
   Data Inadequate
   None of the Above

Q8.

In th above figure ABCD is a cyclic quadrilateral. Find the value of X

   60°
   50°
   120°
   100°
   140°

Q9.

What can be the maximum length of a rod that can fit into a rectangular room of dimension 5 m x 4 m x 3 m. (Assume rod has negligible thickness)

   6 m
   7.07 m
   10 m
   Data Inadequate
   None of the Above

Q10.

A solid regular cone of base radius 3 cm and height 28 cm is melted to form hollow sphere of inner and outer diameter 2 cm and 4 cm respectively. How many such spheres can be created

   1
   9
   5
   Cannot Be Determined
   None of the Above

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GRE Geometry Self Assessment

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The figures are not drawn on correct scale

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