Quantitative

Mixture and Alligation Concepts | Tricks | Formulas for CAT Exam

Table of Content Concepts and Formulas Tricks Rule of Constant Mixing with replacement Two different Mixture Practice Problems Questions from Mixtures and Alligation topic have increased in recent CAT exam. Usually, we apply the concepts and formulas of weighted average, percentages and ratios to solve such questions. A shortcut tricks of the criss-cross method is …

Mixture and Alligation Concepts | Tricks | Formulas for CAT Exam Read More »

last two digits

3 steps to find last two digits of a number with power

Last Two digits: The objective of this article is to understand the concept and approach to solve questions like: Find the last two digits of \({2^{234}}\) \({31^{123}}\) \({73^{35}}\) There are two-three shortcut approaches to solve the above problems. But before we go and apply the same, we need to understand the following basic points. Finding …

3 steps to find last two digits of a number with power Read More »

maxima-minima

Maxima Minima : AM-GM Concept

AM-GM-HM Concept A wide variety of questions are being framed in this area. There is no thumb rule to solve all these problems. Many a time, simple observation and hit and trial methods of putting the values work. However, to get the results quickly and accurately, there are specific categories of questions which require knowledge of …

Maxima Minima : AM-GM Concept Read More »

factorial and trailing zeroes

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 …

Number of trailing zeroes and exponents of prime number in factorial Read More »

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 Advance Read More »

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 …

Chinese Remainder Theorem Read More »

X