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  • Verbal - 166
  • Quans - 170
  • Total - 336
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GRE Practice Test

GRE Practice: Problem Solving GRE Practice Test 5

Good you are taking our practice tests. But please make sure you complete all the practice problems from Official GRE Guide. Official GRE Guide is from the test makers(Yes You read it right they conduct the GRE exam worldwide.) ETS.:- The Official Guide to the GRE General Test, Third Edition
Powered by GreGuide Version 2.2.1 Copyrights 2007,

Question: 1

A cylinder's diameter is reduced to one-third. The volume remains the same. How many times will the length become? Indicate the correct option.

  1. 3
  2. 6
  3. 5
  4. 12
  5. 9

Correct Answer: E


Let the initial length be l and new length be l'.

Let the original diameter be 6r and radius be 6r/2=3r.

The new diameter will be 6r/3=2r and radius will be 2r/2=r

Volume=π*(3r)2*l = pi*r2*l'



The length becomes 9 times itself.

Option E is true.


Question: 2

If x+1/x=4, then which of the following is the value of x2+1/x2? Indicate the correct option.

  1. 16
  2. 4
  3. 18
  4. 12
  5. 14

Correct Answer: E






Option E is correct.

Question: 3

Triangle ABC is right angled at A. AL is drawn perpendicular to BC. Which of the following is true? Indicate the correct option.

  1. Angle ABC = Angle ACB
  2. Angle BAL = Angle ALC
  3. Angle ACL = Angle ABL
  4. Angle BAL = Angle ACB
  5. Angle ALB = Angle ACB

Correct Answer: D


Options A and C need not be true and hence they are incorrect.

Option B is false as angle ALC is a right angle while angle BAL is an acute angle.

Similarly option E is false.

We check option D now.

In triangle ABL,

angle BAL+angle ALB+angle B=180

angle BAL+90+angle B=180

angle BAL+angle B=90

angle BAL=90-angle B ...(1)

In triangle ABC,

angle A + angle B + angle C = 180

90 + angle B +angle C = 180

angle B + angle C = 180-90=90

angle ACB=90-angle B ...(2)

From (1) and (2), we conclude that option D is true.

Question: 4

Pam has a field in the shape of a polygon with 10 sides. Into how many triangular fields can she cut her field so that she can access each field from the same vertex? Indicate the correct option.

  1. 3
  2. 5
  3. 7
  4. 8
  5. 9

Correct Answer: D


A polygon with n sides can be cut into (n-2) triangles with a common vertex.

The bigger field with 10 sides can be cut into (10-2)=8 triangular fields with a common vertex.

Option D is true.

Question: 5

What is the area enclosed by the points (1,4), (4,-2) and (9,-12)? Indicate the correct option.

  1. 0
  2. 24
  3. 38
  4. 26
  5. 36

Correct Answer: A


(1,4), (4,-2), (9,-12) are the three points.

Area = 1/2[1*(-2)-4*4+4*(-12)-(-2)*9+9*4-1*(-12)]



Option A is true.

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