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Like this PageCLICK this button to recommend this page to Google. GRE Practice TestGRE Practice: Problem Solving GRE Practice Test 4Powered by GreGuide Version 2.2.1 Copyrights 2007, GreGuide.com Question: 1 The first day of a leap year is a Sunday. How many Mondays does the year contain? Indicate the correct option.
Correct Answer: D Explanation: Every seventh day of the year will be a Sunday. A leap year has 365+1=366 days The year contains 52*7+2 days The second day is a Monday and hence the 365th day will be a Sunday and the 366th day will be a Monday. There are 53 Mondays in the year. Question: 2 If (x-2) is a factor of the polynomial 6x^3-2ax^2+ax-6, what is the value of 'a'? Indicate the correct option.
Correct Answer: D Explanation: Put x = 2 in the given polynomial 6x^{3}-2ax^{2}+ax-6 = 6*(2^{3}) -2a*(2^{2}2)+a*2-6=0 48-8a+2a-6=0 6a=42 a=7 Option D is correct. Question: 3 The volume of a cylinder is 550 cc and its radius is 5cm. What is the height per unit radius of the cylinder? Indicate the correct option.
Correct Answer: C Explanation: Volume of cylinder = pi*r^{2}*h, where r and h are radius and height of the cylinder. 550=pi*5^{2}*h h=550*7/(22*5*5) = 7 Height of the cylinder = 7 cm Height/radius = 7/5 = 1.4 Option C is correct. Question: 4 Which of the following is equal to [81*3^(n+1)-9*3^{n}]/[81*3^{(n+3)}-3*3^{(n+3)}]? Indicate all correct options.
Correct Answer: C Explanation: [81*3^{(n+1)}-9*3^{n}]/[81*3^{(n+3)}-3*3^{(n+3)}] = [3^{(n+5)}-3^{(n+2)}]/[3^{(n+7)}-3^{(n+4)}] = [3^{(n+5)}-3^{(n+2)}]/{(3^{2})*[3^{(n+5)}-3^{(n+2)}]} =1/3^{2} = 1/9 Option C is true. Question: 5 Peter has a circular field. His cottage and the cattle are diametrically opposite along the field. If the area of his field is 169pi meters, then what is the length of the shortest path that he can construct in the field to go from his cottage to his cattle? Indicate the correct option.
Correct Answer: C Explanation: The shortest path will be along the diameter of the field. Area = 169π = π*r^{2}, where r is the radius of the circle r^{2}=169 r=13 The length of the shortest path is 2*13=26m. Option C 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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