Beware of the “Unique occurences” on DS

How you should approach Data Sufficiency questions? Let us see the problem: What is the value of x? (1) x^2 = 25 (2) 8 < 2x < 12 You may quickly say “oh it’s 5” to both of them. 5 is the square root of 25, and the second equation simplifies to 4 < x … Read more

Absolute Values

Let’s look at an absolute value concept involving two variables. It is unlikely that you will see such a question on the actual, since it involves multiple steps, but it will help you understand absolute values better. Recall the definition of absolute value: |x| = x if x ≥ 0 |x| = -x if x < 0 … Read more

Properties of Composite numbers

We love to talk about prime numbers and their various properties for CAT preparation, but composite numbers usually aren’t mentioned. Composite numbers are often viewed as whatever is leftover after prime numbers are removed from a set of positive integers (except 1 because 1 is neither prime, nor composite), but it is important to understand how these … Read more

Interest Equations

The reason people are intimidated by the kinds of compound interest equations we encounter in finance classes is that they look complicated. But, as with most seemingly abstruse topics, these concepts are far less difficult than they appear at first glance. Here’s all we really need to know about interest equations: if we’re talking about … Read more

Ratios in Data Sufficiency

We know that ratios are the building blocks for a lot of other concepts such as time/speed, work/rate and mixtures. As such, we spend a lot of time getting comfortable with understanding and manipulating ratios, so the questions that test ratios seem simple enough, but not always! Just like questions from all other test areas, questions … Read more

Circular Arguments in Critical Reasoning

Consider this argument: Anatomical bilateral symmetry is a common trait. It follows, therefore, that it confers survival advantages on organisms. After all, if bilateral symmetry did not confer such advantages, it would not be common. What is the flaw here? The argument restates rather than proves. The conclusion is a  premise, too – we start … Read more

Difficult questions using basic concepts

It may seem like we will need trigonometry to handle this question, but that is not so. In fact, the question will look familiar at first, but will present unforeseen problems later on. While going through this exercise, we will learn a few tips and tricks which will be useful in our mainstream questions, hence, it will add … Read more

Critical Reasoning involving rates

Let’s  look at an question and  convince you of the right answer: The faster a car is traveling, the less time the driver has to avoid a potential accident, and if a car does crash, higher speeds increase the risk of a fatality. Between 1995 and 2000, average highway speeds increased significantly in the United … Read more

Logic in Algebra questions

Here’s an example: If x, y, and k are positive numbers such that [x/(x+y)]*10 + [y/(x+y)]*20 = k and if x < y, which of the following could be the value of k?  A) 10 B) 12 C) 15 D) 18 E) 30 A large percentage of test-takers see this question, rub their hands together, … Read more

Driving Rules for Sentence Correction

When driving in the snow: Don’t brake until you have to. Don’t make sudden turns or lane changes, and only turn if you have to. Stay calm and leave yourself space and time to make decisions. And those same lessons apply to Sentence Correction. Approach these questions like you would approach driving in a blizzard, … Read more

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