CetKing Let’s take a look at an example. All of the athletes who will win a medal in competition have spent many hours training under an elite coach. Michael is coached by one of the world’s elite coaches; therefore it follows logically that Michael will win a medal in competition. The argument above logically depends on … Read more
A recurring question from many students who are preparing for CAT is this: When should one use the permutation formula and when should one use the combination formula? People have tried to answer this question in various ways, but some students still remain unsure. So we will give you a rule of thumb to follow in … Read more
When you begin studying for the CAT, you will quickly discover that most of the strategies are, on the surface, fairly simple. It will not come as a terribly big surprise that selecting numbers and doing arithmetic is often an easier way of attacking a problem than attempting to perform complex algebra. There is, however, a big … Read more
We know our basic probability formulas (for two events), which are very similar to the formulas for sets: P(A or B) = P(A) + P(B) – P(A and B) P(A) is the probability that event A will occur. P(B) is the probability that event B will occur. P(A or B) gives us the union; i.e. the … Read more
The goal, when preparing for the CAT, isn’t to internalize hundreds of strategies; it’s to absorb a handful that will prove helpful on a variety of questions. Try the following question: It takes Carlos 9 minutes to drive from home to work at an average rate of 22 miles per hour. How many minutes will … Read more
Let us start out with some basic ideas on conditional sentences (though I know that most of you will be comfortable with these): A conditional sentence (an if/then sentence) has two clauses – the “if clause” (conditional clause) and the “then clause” (main clause). The “if clause” is the dependent clause, meaning the verbs we use in the clauses will … Read more
The CAT asks a fair number of questions about the properties of two-digit numbers whose tens and units digits have been reversed. Because these questions pop up so frequently, it’s worth spending a little time to gain a deeper understanding of the properties of such pairs of numbers. Like much of the content on the CAT, we can … Read more
Whenever we’re given unpleasant numbers on the CAT, it’s worthwhile to think about the characteristics of round numbers in the vicinity. Like, 3599 is the same as 3600 – 1. 3600, the beautiful round number that it is, is a perfect square: 602. And 1 is also a perfect square: 12. Therefore 3600 – 1 … Read more
The first thing you need to understand is that when we multiply two integers together, the last digit of the result depends only on the last digits of the two integers. For example: 24 * 12 = 288 Note here: …4 * …2 = …8 So when we are looking at the units digit of the … Read more
Usually, cyclicity cannot help us when dealing with remainders, but in some cases it can. Let’s look at the cases in which it can, and we will see why it helps us in these cases. First let’s look at a pattern: 20/10 gives us a remainder of 0 (as 20 is exactly divisible by 10) 21/10 gives a … Read more
