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 […]
The only way to reduce crime is to increase the severity of punishments
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 […]
Success in this world is not determined by talent and hard work only, looks and appearances play a major role
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 […]
Sometimes wars are required to ensure peace
The topic ‘sometimes wars are required to ensure peace’ might seem antithetical to the teachings of many great religious figures. Christ exhorted us to ‘show the other cheek’; so did Buddha, who preferred peace to any form of violence; at the same time we have Lord Krishna who, in the Gita, tells Arjuna to go […]