RozgarDesh (रोजगार देश)

Logarithm When a x   = N , then we say that x = logarithm of N to the base a and write it as x = log a N . In simple words, it represents the power to which a number must be raised. Let me expand on that by giving a simpler example. If we are asked, what would be the result if ‘a’ is multiplied with itself ‘b’ times; then your answer would be x = a*a*a*…. b (times). This can also be written as a^b. This is also known as ‘a raised to the power of b’ If we are asked, which number multiplied with itself ‘b’ times, will result in a; then you are asked for the value of x such that x*x*x*… b(times) = a => x^b = a => x = a^(1/b) This is also known as ‘bth root of a’ If swe are asked, how many times should you multiply ‘a’ with itself to get ‘b’, that is where the concept of logarithm comes into the picture. You are asked for the value of ‘x’ such that a*a*a…. x (times) = b => x = Log  a  b This is also known as ‘ Log b to the base a’ ...

Probability The CAT quantitative aptitude section includes several questions from the topic of probability. The probability for CAT questions test the mathematical as well as reasoning skills of the candidates. CAT aspirants can visit the questions page (link at the bottom) to practice various related questions and prepare more effectively for the CAT exam. Probability can be defined as the measure of how likely an event will occur and it ranges from 0 to 1. An event is impossible if the probability is 0; while a probability of 1 indicates the event is certain to occur. Introduction To Probability Probability is the likelihood or chance that an event will occur. If there is no chance that an event will occur, then its probability of occurring will be 0. On the other extreme, if an event is certain to occur, then its probability of occurring will be 100%, or 1. Hence, the probability should be a number between 0 and 1, inclusive. Suppose your favourite actor has a 1 in 3 chance ...

Function A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. Representation - Cartesian  product  of 2 sets is mapping every element to every element of other set. It is generally represented as X A={"a","b"}, B={"y","z"} then A X B= {("a","y"),("a","z"),(b,y),(b,z)} Relation: A Relation R from a non-empty set A to a non empty set B is a subset of cartesian product A X B. n(A)= number of element in set A. n(B)= number of element in set B. Let 's say n(A)=p, n(B)=q n(A X B)=pq then no of relations possible from A to B is 2^pq A relation f from a set A to a set B is said to function if every element of set A has one and only one image in set B. Relation: A function f is X to Y then f: X->Y X is called domain set, Y is called range function. Functions are generally represented as  f ( x ) L...