Math and Reasoning

CSAT logical Reasoning & Analytical Ability Here you can find  Logical Reasoning  interview questions with answers and explanation.  ...  Where can I get  Logical Reasoning  Questions and Answers with Explanation?   i will provides you lots of fully solved  Logical Reasoning  questions and answers with explanation. Download

Set And Functions Sets    A Set is a collection of well-defined objects. Here, 'well-defined' means that there is a definite method to determine whether an objects belongs to the set. The members of a set are called the elements of the set . Sets are usually denoted by capital letters of the English alphabets while the elements of the denoted by small letters of English alphabet. For example , We may define A to be set of odd numbers . Recall that an integer is called an odd number, if it is divisible by 2. Mathematically , A = {x | x is an integer } If x is an element of the set A , then we write x ∈ A. If x is not an element of the set A, Then we write x ∉ A Representation of Sets  Sets are usually described into ways: 1. Tabular form or roster form:- In this form, all the elements of the set are separated by commas and enclosed between the bracket {}.   e.g. (i) The set of vowels of English alphabets as A = {a,e,i,o,u}.   ...

Probability Probability is just the chance of happening of an event . In other words , Probability is a branch of mathematics that deals with calculating the likelihood of a given event's occurrence which is expressed as a number between 1 and 0.  e.g.  The probability of a coin toss resulting in head is 1/2. The probability is defined as the chance of happening or not happening of an event. Important terms Related to probability : * Experiment  An action which result in some well-defined outcomes . * Random experiment  A random experiment is an experiment or a process for which the outcomes cannot be predicted with certainity .    Whenever an experiment is conducted a number of times under similar condition where the resultis not certain , then the experiment is called a trial or a random experiment , the outcomes are known as events. e.g. When a die is thrown , it is a trial , getting a number 1 or 2 or 3 or 4 or 5 or 6 is an event. *...

Permutation and Combination permutation and combination are ways for the arrangement or selection of a group of persons/ numbers etc. Permutation is an act of rearrangement all the members of a set into same sequence or order.It is one of the different arrangement of a group of items where order / sequence / way matters whereas combination is a way of selecting members from the group such that the order of selection doesn't matter. Fundamental principle of multiplication  It there are two jobs such that one of them can be completed in m ways and second job can be completed in m ×n ways. e.g. If there are 4 ways in which a person can go from X to Y and 7 ways in which he can go from Y to Z , then possible ways to go from X to Z = 4 ×7 = 28 ways. Fundamental principle of addition If there two jobs such that they can be performed independently in m and n ways respectively , then either of the two jobs performed in (m+n) ways. Permutation By permutation we mean...

Simple and compound Interest Simple Interest:- Basic formulae for calculation of various parameters related to simple interest  are explained as under If P= Principal, R = Rate per cent per annum ,T= Number of years, SI = Simple interest and A = Amount, Then Elementary Formulae on Simple Interest 1.Change of rate of interest and time when interest is calculated for different specified time.    if original rate = R% and time  = T yr , Then    For half-yearly, rate = R/2 % and time = 2T    For quarterly, rate = R/4 % and time = 4T    For quarterly, rate = R/12 % and time =12T 2. When a sum becomes n times of its in T yr at a rate of R% per annum, then RT = (n-1) x 100 3. When the simple interest on a sum at R% per annum in T yr is X/Y of the sum, then for R = T       T = R = √ [(x/y) x 100 ] 4. When two equal sum are deposited for T 1 and T 2 at the rate of interest of R 1 % and R ...

Speed Speed is the total distance covered by an object in unit time interval .It is obtained by dividing distance covered by the time to cover the distance. Speed=Distance Travelled /Time taken Also, distance = Speed x Time taken Time Taken = Distance travelled / Speed Here, the unit of speed are km/h,m/s etc. Average Speed Average Speed is the ratio of total distance covered to total time taken to cover the distance. Relative Speed When two object are moving , then you have to take into consideration their relative speed in place pf their individual speeds. Relative speed is the Speed of one object with respect to other. CASE 1:-  x km/h A------→ x m/s B-----→ when two object are moving in the same direction with x km/h and y km/h respectively. Relative speed = (x-y) km/h                           (y-x...