Number of trailing zeroes and exponents of prime number in factorial
Finding the number of trailing zeroes in 100! (read factorial 100) has become the favorite question in quant among aspirants who prepare for CAT Exam. In this section, we will be discussing the approaches to solve similar sorts of questions. Exponent of any prime number p in n! (factorial n) The exponent of any prime […]
Base System Advance
Addition, Subtraction and Multiplication in different bases The process of addition, subtraction and multiplication in bases other than 10 might sound difficult because we haven’t done much practice of it during our school days. But the process is exactly same as we do in decimal system. Let us see the process of addition of two […]
Base System Concepts and Questions for CAT
We humans use decimal system for our mathematical calculations. We know that the computers work on binary system. Some of us who are from engineering or science background are also aware of octal and hexadecimal systems. But the base is not just limited to only these few; any number can be the base. It all […]
Chinese Remainder Theorem
Chinese Remainder Theorem: If a number N = a×b, where a and b are prime to each other, and M is a number such that the remainders obtained when M is divided by a and b are \({r_1}\; and\;{r_2}\) respectively, then the remainder obtained when M is divided by N is the smallest value in […]
Fermat Theorem : Application in finding remainders
Fermat theorem states that for any two positive natural numbers N and P, if they are co-prime to each other then remainder obtained when \({N^{\phi \left( P \right)}}\)is divided by P is 1, where \(\phi \left( P \right)\) is the euler of P. i.e. \(\frac{{{N^{\phi \left( P \right)}}}}{P} \to R\left( 1 \right)\) Example 1:Find the […]
What to read to improve language and vocabulary
In this article, I will focus on ‘what things should one read to improve one’s grammar and vocabulary?’ Since the question is not restricted to books of any specific discipline, I would focus on books that the reading audience can appreciate even if they have no prior familiarity with the subject matter discussed in those […]
The 5 most common mistakes students make in CAT reading comprehension
CAT Reading Comprehension presents a challenge even to those students who often think that they are quite good with RCs. In this article, I have summed up some of my observations concerning the approach and attitude of students towards this elusive section. The points are about the common and frequently –made mistakes in VARC, including […]
Improve CAT reading comprehension [RC] accuracy to 100%
I often receive messages and emails from CAT aspirants lamenting their low accuracy in the CAT RC, i.e., reading comprehension passages. In this article, I will try to explain the reasons behind this low accuracy, and, simultaneously, lay out a strategy that could be of some help to improve reading comprehension accuracy. 70% percent is […]
Parajumbles for CAT without options [Tips and Tricks]
Parajumbles for CAT has been a part of CAT Verbal Ability for the past twenty years. Though the CAT exam pattern did change in CAT 2015 with the introduction of parajumbles questions without options [TITA type], the approach to solve parajumbles still remains the same. This article will not only give you tricks but also it […]
Why does India fare miserably in the Olympics ?
It is not possible for someone to comprehensively answer such a question in an article of 500-1000 words. To answer this question, one must carry out an extensive research, a research in which one not only dissects the root causes of the problem but also comes up with solutions that, in the long run, help […]