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Featured Original PDF
HEIGHTS AND DISTANCES IMPORTANT FACTS AND FORMULAE hypotenuse 1.We already know that: In a rt.angled DOAB, where ÐBOA = q, i)sin q = Perpendicular/Hypotenuse = AB/OB; ii)cos q = Base/Hypotenuse = OA/OB; iii)tan q = Perpendicular/Base = AB/OA; iv)cosec q = 1/sin q = OB/AB; Base v)sec q […]
STOCKS AND SHARES To start a big business or an industry, a large amount of money is needed. It is beyond the capacity of one or two persons to arrange such a huge amount. However, some persons associate together to form a company. They, then, draft a proposal, issue a prospectus(in the name of company), […]
PERCENTAGE IMPORTANT FACTS AND FORMULAE Concept of Percentage : By a certain percent ,we mean that many hundredths. Thus x percent means x hundredths, written as x%. To express x% as a fraction : We have , x% = x/100. Thus, 20% =20/100 =1/5; 48% =48/100 =12/25, etc. To express a/b as a percent : […]
SURDS AND INDICES I IMPORTANT FACTS AND FORMULAE I LAWS OF INDICES: am x an = am + n am / an = am-n (am)n = amn (ab)n = anbn ( a/ b )n = ( an / bn ) a0 = 1 SURDS: Let a be a rational number and n […]
ALLIGATION OR MIXTURE IMPORTANT FACTS AND FORMULAE 1. Alligation: It is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of a desired price. 2. Mean Price: The cost price of a unit quantity of the mixture is […]
PROBLEMS ON AGES Ex. 1. Rajeev’s age after 15 years will be 5 times his age 5 years back. What is the present age of Rajeev ? (Hotel Management,2002) Sol. Let Rajeev’s present age be x years. Then, Rajeev’s age after 15 years = (x + 15) years. Rajeev’s age […]
PROBLEMS ON NUMBERS In this section, questions involving a set of numbers are put in the form of a puzzle. You have to analyze the given conditions, assume the unknown numbers and form equations accordingly, which on solving yield the unknown numbers. SOLVED EXAMPLES Ex.1. A number is as much greater than 36 as is […]
CALENDAR IMPORTANT FACTS AND FOAMULAE Under this heading we mainly deal with finding the day of the week on a particular given date the process of finding it lies on obtaining the number of odd days. Odd Days : Number of days more than the complete number of weeks in a given Period ., is […]
SQUARE ROOTS AND CUBE ROOTS IMPORTANT FACTS AND FORMULAE Square Root: If x2 = y, we say that the square root of y is x and we write, √y = x. Thus, √4 = 2, √9 = 3, √196 = 14. Cube Root: The cube root of a given number x is the number whose […]
SIMPLIFICATION IMPORTANT CONCEPTS ’BODMAS’Rule: This rule depicts the correct sequence in which the operations are to be executed,so as to find out the value of a given expression. Here, ‘B’ stands for ’bracket’ ,’O’for ‘of’ , ‘D’ for’ division’ and ‘M’ for ‘multiplication’, ‘A’ for ‘addition’ and ‘S’ for ‘subtraction’. Thus, in simplifying an expression, […]