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 …

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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 …

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CAT 17 Verbal Ability

CAT 17 Verbal Ability Slot 2 Explanations

CAT 17 Verbal Ability Slot 2 Question 25: DIRECTIONS for the question: Identify the most appropriate summary for the paragraph. North American walnut sphinx moth caterpillars (Amorpha juglandis) look like easy meals for birds, but they have a trick up their sleeves—they produce whistles that sound like bird alarm calls, scaring potential predators away. At …

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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 …

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