RozgarDesh (रोजगार देश)

Supplementary angles Supplementary angles  are two angles with a sum of  180 ^\circ 1 8 0 ∘ 180, degree . A common case is when they lie on the same side of a straight line.

Complementary Angle Complementary angles  are two angles with a sum of  90 ^\circ 9 0 ∘ 90, degree . A common case is when they form a right angle

Permutations and Combination Permutations and Combination is one section of the CAT Quantitative Aptitude which needs the least number of formulae and the maximum amount of logic. This topic is asked in almost every competitive exam, so don’t take the risk of avoiding it.  After reading this article you will be familiar with Permutation and Combination. Definition of Permutation : Permutation is defined as the arrangement of r things that can be done out of total n things. Formula of Permutation Permutation is denoted by  nPr   it is equal to  n!/(n-r)! Defination of Combination: Combination is defined as selection of r things that can be done out of total n things. Formula of Combination Combination is denoted  nCr it is equal to n!/r!(n-r)! Fundamental principle of counting Product Rule: If an activity A can be done in “m” ways and an another activity “B” can be done in “n” ways, A and B together can be done in “m x n” ways Example: How ma...

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...