If n is a positive integer and the product of all integers…
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! = …
Author: Jeff Miller
Each person who attended a company meeting was either…
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 …
A certain high school has 5000 students. Of these students, x are
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 …
√(4.8 x 10^9) is closest in value to…
May 10, 2016
GMAT OFFICIAL GUIDE PS Solution: We are given √(4.8 x 10^9), and we need to determine the answer choice that is closest in value. We first simplify the expression …
If xy ≠ 0 and x^2y^2 − xy = 6, which of the following could be y in…
May 10, 2016
GMAT OFFICIAL GUIDE PS Solution: We are given the equation, (x^2)(y^2) – xy = 6, and, although it may not be obvious, the equation is a quadratic-format equation. Thus, …
In the figure shown, the triangle is inscribed in…
May 9, 2016
GMAT OFFICIAL GUIDE PS Solution: Let’s begin by sketching the given picture. We are given that triangle ABC is inscribed in the semicircle. Since a triangle inscribed in a …
If k is an integer and (0.0025)(0.025)(0.00025) × 10^k is an integer
May 9, 2016
GMAT OFFICIAL GUIDE PS Solution: We are given the expression: 0.0025 x 0.025 x 0.00025 x 10^k = integer To determine the least possible value of k, we want …
If x^2 − 2 < 0, which of the following specifies all the possible
May 9, 2016
GMAT OFFICIAL GUIDE PS Solution: We must determine all of the values of x based on the inequality x^2 – 2 < 0. To determine all the possible values …