What is the smallest integer n for which 25^n > 5^12 ?
May 21, 2015
GMAT OFFICIAL GUIDE PS Solution: To solve, we want to get the bases the same. Thus we need to break 25^n into prime factors. 25^n = (5^2)^n = 5^(2n) …
If T = 5/9 * (K – 32), and if T = 290, then K =
May 21, 2015
GMAT OFFICIAL GUIDE PS Solution: We start by substituting 290 for T and we obtain: 290 = 5/9(K – 32) To eliminate the fraction, we multiply the entire equation …
For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8
May 21, 2015
GMAT OFFICIAL GUIDE PS Solution: Let’s first calculate the mean (arithmetic average). mean = sum/quantity mean = (n + n + 1 + n + 2 + n + …
If x(2x + 1) = 0 and (x + 1/2)(2x – 3) = 0, then x =
May 21, 2015
GMAT OFFICIAL GUIDE PS Solution: To solve we will use the zero product property. The zero product property states that if the product of two quantities is equal to …
1/2 + [(2/3 * 3/8)/4] – 9/16 =
May 21, 2015
GMAT OFFICIAL GUIDE PS Solution: We need to simplify the expression using PEMDAS. Parentheses Exponents Multiplication and Division Addition and Subtraction The calculation of an equation or expression must …
A store reported total sales of $385 million for February…
May 21, 2015
GMAT OFFICIAL GUIDE PS Solution: The problem is testing us on using the percent change formula: (New Value – Old Value)/Old Value x 100 We are given: February sales …
(0.0036)(2.8)/(0.04)(0.1)(0.003) =
May 20, 2015
GMAT OFFICIAL GUIDE PS – Solution: When we divide decimals without a calculator, it is easier if we first convert all of the decimal numbers to whole numbers. If …
There are 4 more women than men on Centerville’s board of…
May 20, 2015
GMAT OFFICIAL GUIDE PS Solution: We can solve the problem by setting up a few equations. First let’s define some variables. m = number of men on the board …