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Current Affairs (April-2015): Test-21
These tests are a check for your learning and are meant to serve as tools for assessment. The test is designed to check your Static General Knowledge and provide you an assessment of the same. Each question is followed by 4 options. Select the most appropriate option...
Application of Concept of Cyclicity
Application of Concept of Cyclicity How to calculate unit digit if a number contains power of a power Example 1:What will be the last digit of ${{12}^{{{23}^{45}}}}$ Solution: To find the last digit of this type of number we will start the question from the base the...
Remainders (Part-5)
Remainders: Part-5 In this article we will discuss calculating remainders that involve hefty mathematical expressions. We will discuss each and every mathematical expression one by one. Suppose we have two numbers “a” and “b”. If “a” is in form of 7n +4 and “b” is in...
Remainders (Part-4)
Remainders: Part-4 In this article, for calculating remainders we will use concept of cyclicity. Let’s take an example of questions based on concept of remainders. Example Find the remainder when 47123 is divided by 7? Solution: We will do this question step by step...
Remainders (Part-3)
Remainders: Part-3 Problem Type 1: What will be the remainder when p + q +r +… is divided by d Example What will be the remainder when 63 + 67 +81 is divided by 11 ? Solution: Instead we add up all numbers, lets do it separately 63 when divided by 11 gives 5 as...
Extra Problems for ‘Number of Zeros’ Question Type
Extra Problems for ‘Number of Zeros’ Question Type Example 1: Find the number of zeros in 2145 x 5234 . Solution:When we see the question it looks like a very difficult question but this type of question involving number of zeros is very simple and can be solved in...
Number of zeros at the end of a factorial
Number of zeros at the end of a Problem Type: Number of zeros at the end of p! To solve such type of problems we see only pair of 2 x5 in p! . Because if a number is divisible by 10 then it will have 0 in the end and 10= 2x5 so finding number of zeros is equivalent to...
Highest Power of a prime in a factorial
Type : Highest power of p which divides the q! ,where p is not a prime number The approach for this type is same as that for calculating maximum power of prime in any factorial buthere first we will break p into product of primes. Lets take an example to understand...
Factorials
A factorial is a non-negative number which is equal to the multiplication of numbers that are less than that number and the number itself. It is denoted by (!) Let’s take an example to understand this What will be the value of 5! So in the above definition we...
Basic Concept of Cyclicity
Basic Concept of Cyclicity The concept of cyclicity is used to identify the last digit of the number.Let’s take an example to understand this: Example 1: Find the unit digit of 354. Solution: Now it’s a very big term and not easy to calculate but we canfind the last...
Product of Factors
Product of Factors Perfect square as a product of two factors In case of perfect square number we have odd number of factors i.e. the number of factors are odd hence in that case required number of ways in which we can write perfect square number as a product of its...
Sum of Factors
Product of Factors Perfect square as a product of two factors In case of perfect square number we have odd number of factors i.e. the number of factors are odd hence in that case required number of ways in which we can write perfect square number as a product of its...
