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: 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 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 …
Fermat Theorem : Application in finding remainders Read More »
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 …
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 …
The 5 most common mistakes students make in CAT reading comprehension Read More »
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 …
Improve CAT reading comprehension [RC] accuracy to 100% Read More »
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 …
Parajumbles for CAT without options [Tips and Tricks] Read More »
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 …
The topic says that the only way to reduce crime is to increase the severity of punishments; ostensibly, the argument sounds good, suggesting that severe punishments would deter people from committing crime; but to make the argument convincing we have to answer the question: should or should not the severity of the punishment commensurate with …
The only way to reduce crime is to increase the severity of punishments Read More »
The topic given here says that success is not determined by talent and hard work alone, looks and appearances play a major role. While I do agree that looks and appearances do play an important role in enhancing your self-confidence and improving your self-esteem when you are in your teens or in early adolescence, in …
