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Like this PageCLICK this button to recommend this page to Google. GRE Practice TestGRE Practice: Problem Solving GRE Practice Test 5Powered by GreGuide Version 2.2.1 Copyrights 2007, GreGuide.com 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.
Correct Answer: E Explanation: 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*r^{2}*l' 9r^{2}*l=r^{2}*l' 9l=l' The length becomes 9 times itself. Option E is true. [π=22/7] Question: 2 If x+1/x=4, then which of the following is the value of x^{2}+1/x^{2}? Indicate the correct option.
Correct Answer: E Explanation: x+1/x=4 (x+1/x)^{2}=x^{2}+1/x^{2}+2*x*1/x x^{2}+1/x^{2}=(x+1/x)^{2}-2 =4^{2}-2=16-2=14 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.
Correct Answer: D Explanation: 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.
Correct Answer: D Explanation: 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.
Correct Answer: A Explanation: (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)] =1/2[-2-16-48+18+36+12] =1/2(0)=0 Option A is true. Like this PageCLICK this button to recommend this page to Google. Spread The Word / Bookmark this content Digg this Post to del.icio.us Post to Furl Post to Netscape.com
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