APSC Prelims and Mains Notes, APSC Test Series
HCM and LCM Factors A factor of a number are all those numbers, which exactly divide the given number. “Exactly divides” means that when a number is divided by its factor the reminder is always 0. For example: 1,2,and 4 are the factors of 4. Multiples Multiples of a number are those numbers … Read more
TIME & DISTANCE In this module we will deal with basic concepts of time and distance, speed, average speed, conversion from km/h to m/s and vice versa. This chapter will form the basis of further concept of relative speed which is used in train and boat problems. Important … Read more
Multiplying Fractions There are 3 simple steps to multiply fractions Multiply the top numbers (the numerators). Multiply the bottom numbers (the denominators). Simplify the fraction if needed. example: 1 / 2 × 2 / 5 =? Step 1 Multiply the top numbers: 1 / 2 × 2 / 5 = … Read more
Prepositions Prepositions are short words (on, in, to) that usually stand in front of nouns (sometimes also in front of gerund verbs). Even advanced learners of English find prepositions difficult, as a 1:1 translation is usually not possible. One preposition in your native language might have several translations depending on the situation. The … Read more
Data Sufficiency in Statistics A sufficient statistic is a statistic that summarizes all of the information in a sample about a chosen parameter. For example, the sample mean, x̄, estimates the population mean, μ. x̄ is a sufficient statistic if it retains all of the information about the population mean that was contained … Read more
MENSURATION Mensuration is the branch of mathematics which deals with the study of different geometrical shapes, their areas and Volume. In the broadest sense, it is all about the process of measurement. It is based on the use of algebraic equations and geometric calculations to provide measurement data regarding the width, depth and volume … Read more
Fractions Any unit can be divided into any numbers of equal parts, one or more of this parts is called fraction of that unit. e.g. one-forth (1/4), one-third (1/3), three-seventh (3/7) etc. The lower part indicates the number of equal parts into which the unit is divided, is called denominator. The upper part, which indicates the number … Read more
Height and Distance This topic has many practical application in day to day life. In engineering stage it is used in surveying. The basic purpose is to find the unknown variables by observing the angle of the line of sight. This is done by using some the fact that in … Read more
Compound Interest Let Principal = P, Rate = R% per annum, Time = n years. When interest is compound Annually: Amount = P 1 + R n 100 When interest is compounded Half-yearly: Amount = P 1 + (R/2) 2n 100 When interest is compounded Quarterly: Amount = … Read more
Mixed ratio and proportion Ratio Introduction: Ratio is the relation which one quantity bears to another of the same kind. The ratio of two quantities a and b is the fraction a/b and we write it as a: b. In the ratio a: b, we call a as the first term or antecedent and b, … Read more