Today, we present the explanations to questions #3-4 from our Tricky Data Sufficiency Questions challenge post. You can find the explanations to questions #1-2 here. Let’s get started. Question #3 3. If 2x = 2y – 3z, what is the value of z? (1) y = x + 2 (2) x = y – […]

# GMAT Math

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Today, we present the explanations for the first two questions in our Tricky Data Sufficiency Questions post. Let’s get started. Question #1 1. What is the value of x? (1) 5 x + 3 y = 15 (2) y = 5 – (5/3) x (A) Statement (1) ALONE is sufficient, but statement (2) alone […]

On Monday, we presented a series of tricky data sufficiency questions, to test whether or not you’re able to steer clear of all the traps. Today, we present the answers to those questions, so that you can check your work. Over the next week or so, we will publish posts with in-depth explanations of how […]

First, here are 12 practice problems. Solutions will be given at the end of this article. 1) Two teachers, Ms. Ames and Mr. Betancourt, each had N cookies. Ms. Ames was able to give the same number of cookies to each one of her 24 students, with none left over. Mr. Betancourt also able to […]

My most recent blog posts have concerned tricky Data Sufficiency questions about systems of equations. Specifically, they’ve been about what can go wrong when you misremember a rule and assume that it’s possible to solve for two variables if and only if you’re given two equations, and generally that it’s possible to solve for n […]

In the following problems, remember: no calculator! Difficulty levels range from medium to hard. 2) Maggie is 15 years older than Bobby. How old is Bobby? Statement #1: In 3 years, Maggie’s age will be 50% larger than Bobby’s age. Statement #2: Years ago, when Maggie was 25 years old, Bobby was 10 years old. […]

A lot of GMAT test-takers vaguely remember a rule from high school, that it’s possible to solve for two variables if and only if you’re given two equations, and generally that it’s possible to solve for n variables if and only if you’re given n equations. Unfortunately, that rule isn’t quite correct as written, and […]

Problems range from easy to hard. 1) On a ferry, there are 50 cars and 10 trucks. The cars have an average mass of 1200 kg and the trucks have an average mass of 3000 kg. What is the average mass of all 60 vehicles on the ferry? (A) 1200 kg (B) 1500 kg (C) […]

A lot of GMAT test-takers vaguely remember a rule from high school, that it’s possible to solve for two variables if and only if you’re given two equations, and generally that it’s possible to solve for n variables if and only if you’re given n equations. Unfortunately, that rule isn’t quite correct as written, and […]

A lot of GMAT test-takers vaguely remember a rule from high school, that it’s possible to solve for two variables if and only if you’re given two equations, and generally that it’s possible to solve for n variables if and only if you’re given n equations. Unfortunately, that rule isn’t quite correct as written, and […]

A lot of GMAT test-takers vaguely remember a rule from high school, that it’s possible to solve for two variables if and only if you’re given two equations, and generally that it’s possible to solve for n variables if and only if you’re given n equations. Applying this rule incorrectly causes quite a few errors […]

Consider the following scenario. Suppose you solve for all the numbers in a Venn Diagram, in a scenario in which 200 students are taking AP Chemistry, AP Literature, both, or neither. Here are the results you find. OK, from this solved Venn diagram, there’s a ton we know: total in AP Chemistry = 50 + […]

1) A librarian has 4 identical copies of Hamlet, 3 identical copies of Macbeth, 2 identical copies of Romeo and Juliet, and one copy of Midsummer’s Night Dream. In how many distinct arrangements can these ten books be put in order on a shelf? (A) 720 (B) 1,512 (C) 2,520 (D) 6,400 (E) 12,600 […]

If you haven’t been following our series on RTD tables, take a few minutes to catch up: Using Diagrams to Solve Rate Problems: Part 1 Using Diagrams to Solve Rate Problems: Part 2 A Different Use of the RTD Table: Part 1 A Different Use of the RTD Table: Part 2 Using the RTD Table […]

My last several posts have been devoted to the use of a table to answer rate problems. Today’s post will assume familiarity with that table, so please take a look back at these posts is you’re not already familiar with the RTD table: Using Diagrams to Solve Rate Problems: Part 1 Using Diagrams to Solve […]