If |y – ½| < 11/2, which of the following…
June 26, 2015
GMAT OFFICIAL GUIDE PS Solution: We must solve the inequality for two cases: Case 1: (y-1/2) is Positive: |y – ½| < 11/2 y – ½ < 11/2 Add …
A rectangular garden is to be twice as long as it is wide…
June 26, 2015
GMAT OFFICIAL GUIDE PS Solution: We first draw a diagram of our garden. The length of the rectangular garden is twice as long is it is wide. Thus, we …
Which of the following equations is NOT equivalent to…
May 21, 2015
GMAT OFFICIAL GUIDE PS Solution: To solve this question, we start by FOILing the right hand side of the given equation. 10y^2 = (x+2)(x-2) 10y^2 = x^2 – 4 …
If n is a positive integer, then n(n+1)(n+2) is…
May 21, 2015
GMAT OFFICIAL GUIDE PS Solution: The problem is easiest to solve by substituting numbers for n. We’ll try an odd number first and then an even number. For an …
If 5 – 6/x = x, then x has how many possible values…
May 21, 2015
GMAT OFFICIAL GUIDE PS Solution: We need to simplify the equation 5 – 6/x = x. We start by multiplying the entire equation by x and we obtain: 5x …
If a, b, and c are consecutive positive integers and a < b < c…
May 21, 2015
GMAT OFFICIAL GUIDE PS Solution: The easiest way to solve the problem is to plug in some real numbers for a, b, and c. Since we know they are …
2/(1 + 2/y) = 1…
May 21, 2015
GMAT OFFICIAL GUIDE PS Solution: We need to simplify the equation 2/(1 + 2/y) = 1. We can start by multiplying both sides of the equation by 1 + …
(1/2)⁻³ × (1/4)⁻⁴ × (1/16)⁻¹…
May 21, 2015
GMAT OFFICIAL GUIDE PS – Solution: We start by using the negative exponent rule. When a fractional base is raised to a negative exponent, we can rewrite the expression …