The Single Most Important Skill to Crack the CAT!
CAT | MBA | // Jul 23, 2018

In this blog, we shall discover that big, white elephant that most CAT aspirants and coaches alike seem to have been ignoring at their own risk. There actually exists one most important skill which if mastered can help aspirants bell the CAT. 

 

The Myths & Myopia

 

We shall see the following myths about the CAT being smashed as this blog progresses: (A) the erroneous impression that the QUANT Section at the CAT is a test of mathematics (B) the delusion that the Verbal Reasoning Section at the CAT is a test of command over the English language (C) the wrong notion that Data Interpretation Section at the CAT is a test of one’s ability to quickly carry out complex calculations.

See Q. 1 (Booklet No.444) from actual CAT paper of 16th November 2008:

 

What is the number of distinct terms in the expansion of (a + b + c)20?

(1) 231      (2) 253      (3) 242      (4) 210      (5) 228

 

If you see the question and the options, the least number of terms as per the options is 210. If you think the CAT is about mathematics, try expanding (a+b+c)^20 in which you will have to write down at least 210 terms. This might take a full day for a perseverant soul. You have less than two minutes per question. Writing down 210 or more terms and then counting them? Goodness gracious! That would be a daunting task. Is this question an isolated instance of long apparently gigantic questions? No way, dear! Only the QUANT Section in the CAT of 2017 had 60% of such questions. Then how do you solve such questions? You can solve such questions in a blooming jiffy with the logic skill known as Pattern Recognition (PR). And what, pray, is Pattern Recognition?

 

Patterns Recognition in Real Life Problems

 

There are patterns in businesses. Here are some instances:

(I) The budgetary allocation for each government department in India expires in March and government departments do the bulk of their shopping towards end March. Someone selling goods to governments would do well to keep this in mind and try to maximize his sales to the government in March each year instead of pushing off for a holiday, which he could postpone to, say, May each year.

(II) The daily billing at a restaurant is at its least on Wednesday and peaks on Saturday. The restaurant owner would be a comprehensive dud if he did not have enough raw materials in place for Saturdays or gave the day off to himself and the staff on Saturdays.

When you are in business or when you are a manager in a business outfit, Pattern Recognition will have to be your forte if you are to shine out. This is why examinations for entrance to premier business schools test this ability in no small measure.

 

Back to the Question!

 

What do you do when you are asked a question about expansion of (a + b + c)20? First expand (a+b+c)1 and you get (a + b + c) that has three terms.

Then expand (a+b+c)2 and you get (a2+2ab+b2+2ac+2bc+c2) that has 6 terms.  Going further, (a+b+c)3 = a3 + 3a2b + 3ab2 + b3 + 3a2c + 6abc + 3b2c + 3ac2 + 3bc2+c3 and thus has 10 terms.

 

Cull Out the Pattern!

 

What you see is the following pattern:

(A) There are 3 terms in the expansion of (a+b+c)1. You know that 3 is 1+2.

(B) There are 6 terms in the expansion of (a+b+c)2. You know that 6 is 1+2+3.

(C) There are 10 terms in the expansion of (a+b+c)3. You know that 10 is 1+2+3+4.

You have a huge hint now. Get that hint and the answer will stare you in the face.

 

Pattern Recognition at Play!

 

In the expansion of (a+b+c)1, and in (a+b+c)2 and so on, if we were to take this as a case of (a+b+c)N, the number of terms in the expansion is 1+2+3…(N+1). Therefore in the expansion of (a+b+c)20 the number of terms would be = 1+2+3+4…+19+20+21= (1+21)/2× 21 = 231. Hence three cheers for Option 1.

 

 

The past CAT papers are testimony to the fact that a great deal of questions asked on the CAT test a candidate’s ability to try solving a bigger, complex problems using smaller, manageable values,  recognizing patterns and then applying these learning to solve the original questions.

 

Want to enroll with us?

Logic Academy has a stellar track record of helping students crack CAT with elan. Logic Academy has the best CAT coaching centers in Ahmedabad & Gandhinagar.

At Logic Academy, we believe that the formula for success in CAT is simple: right tools combined with high preparation intensity. Well, the taste of pudding lies in eating and we might just have the right CAT prep program for you. Since you are here, you can take a moment to look at our CAT prep programs:

High Intensity CAT prep

Leave a comment

Leave a Reply

1 + four =

Latest on Blog

CAT | MBA | // Sep 05, 2018

Parajumbles

Those who are meaningfully preparing for the CAT would surely have gone through the past ten years’ actual CAT papers. They would have found that...

CAT | MBA | // Aug 17, 2018

Approach to crack CAT 2018/ CAT 2019

It is absolutely necessary that students appearing for CAT 2018 or aspiring to appear for CAT 2019 or 2020 must have a clear idea about the range and...

CAT | MBA | // Jul 23, 2018

The Single Most Important Skill to Crack the CAT!

In this blog, we shall discover that big, white elephant that most CAT aspirants and coaches alike seem to have been ignoring at their own...