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A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5…

Scott Woodbury-Stewart May 10, 2016
GMAT OFFICIAL GUIDE PS Solution: We are given the following constraints for a 3-digit code: The first number cannot be 0 or 1, the second digit must be 0 …
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A total of 22 men and 26 women were at a party…

Jeff Miller May 10, 2016
GMAT OFFICIAL GUIDE PS Solution: 1) Since there are 48 people (22 men and 26 women) and the average age of all of them is 35, the total ages …
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If n is a positive integer and the product of all integers…

Jeff Miller May 10, 2016
GMAT OFFICIAL GUIDE PS Solution: We are given that the product of all integers from 1 to n, inclusive, (i.e., n!) is a multiple of 990. Thus, n! = …
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If x and y are positive numbers such that x + y = 1…

Scott Woodbury-Stewart May 10, 2016
GMAT OFFICIAL GUIDE PS Solution: We are given that x and y are positive numbers and that x + y = 1. We must determine possible values of 100x …
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According to a certain estimate, the depth N(t), in centimeters, of…

Scott Woodbury-Stewart May 10, 2016
GMAT OFFICIAL GUIDE PS Solution: We are given that at t hours past 2:00 a.m., the depth of the water in a tank is determined by the formula N(t)= …
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Each person who attended a company meeting was either…

Jeff Miller May 10, 2016
GMAT OFFICIAL GUIDE PS Solution: This is an overlapping set question, and a good way to solve it is to set up a table with two categories: stockholder and …
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The sum of all the integers k…

Scott Woodbury-Stewart May 10, 2016
GMAT OFFICIAL GUIDE PS Solution: We must determine the sum of the consecutive integers from -25 to 23, inclusive. To determine the sum we can use the formula sum …
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A certain high school has 5000 students. Of these students, x are

Jeff Miller May 10, 2016
GMAT OFFICIAL GUIDE PS Solution: We are given an overlapping set with 2 categories: music and art. In any two-category set problem we can use the following formula: Total …
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