TAILIEUCHUNG - Master the Gre 2010 - Part 23

Peterson's Master the Gre 2010 - Part book includes 9 full-length practice tests , thorough reviews of every section on the exam, and expert tips and strategies from a test prep pro. GRE (Graduage Record Examination General Test) is a commercially-run standardized test and an admission requirement for many graduate schools in USA and other English-speaking countries. GRE can earn you between 200-800 points. | Chapter 9 Math Review Number Forms Relationships and Sets 203 10. 0 p q 1 Column A Column B p P1X q q 1 A The quantity in Column A is greater. B The quantity in Column B is greater. C The quantities are equal. D The relationship cannot be determined from the information given. The correct answer is B . Remember three rules which apply to any positive numerator p and denominator q If p q the fraction s value remains unchanged and is always 1 . If p q the fraction s value will decrease. If p q the fraction s value will increase as given in the example . It makes no difference that p and q are fractional values less than 1 rather than larger numbers. As long as p and q are both positive the above three rules always apply. So in the example if the centered inequality were 1 p q or0 p 1 q it wouldn t make any difference quantity B would still be greater than quantity A. If you re not convinced try plugging in some sample values for p and q. A GRE question might ask you to alter a ratio by adding or subtracting from one or both terms in the ratio. The rules for altering ratios are the same as for altering fractions. In either case set up a proportion and solve algebraically for the unknown term. 11. A drawer contains exactly half as many white shirts as blue shirts. If four more shirts of each color were to be added to the drawer the ratio of white to blue shirts would be 5 8. How many blue shirts did the drawer originally contain A 14 B 12 C 11 D 10 E 9 The correct answer is B . Represent the original ratio of white to blue shirts x by the fraction where x is the number of white shirts then add 4 to both the 2x numerator and denominator. Set this fraction equal to the ratio after adding 8 shirts . Cross-multiply to solve for x 204 PART IV Quantitative Reasoning x 4 5 2x 4 5 8 8x 32 10x 20 12 2x x 6 The original denominator is 2x or 12. Remember When you add or subtract the same number from both the numerator and denominator of a fraction or from each .

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