Thursday, 27 March 2014

Permutations and Combinations Formulas

Permutations and Combinations Formulas

Permutations and Combinations: Factorial Notation: Let n be a positive integer. Then, factorial n, denoted n! is defined as: n! = n(n - 1)(n - 2) ... 3.2.1. Permutations: Each of the arrangement which can be made by taking some are all of a number of things is...

Tuesday, 25 March 2014

Volume and Surface Area formulas

Volume and Surface Area formulas

Rectangle Perimeter: P = L+ L+ w + w or P = 2(l + w) Area: A = lw Parallelogram: Perimeter: p=b+b+c+c         or P=2b+2c Area: A=bh Triangle: Perimeter: P = q + w +e Area: A=bh / 2     or     A=1/2*b*h...
Logical Deduction

Logical Deduction

Logical Deduction: The phenomenon of deriving a conclusion from a single proposition or a set of given propositions, is known as logical deduction. The given propositions are also referred to as the premises. . Immediate Deductive Inference : Here, conclusion is deduced from one of the given propositions,...

Monday, 24 March 2014

Ratio and Proportion

Ratio and Proportion

Ratio and Proportion 1. What is Ratio: The ratio of two quantities a and b in the same units, if the fraction ab and we write it as a : b. In the ratio a : b, we call a as the first term which is also know...

Saturday, 22 March 2014

Number and Ranking

Number and Ranking

Number and Ranking 1)formula: Total Number(Items) of arranged are: n=T(L)+B(R)-1 or n=L+R-1 T=Top B=Bottom L=Left R=Right 2)formula: Rank from the Top T(L)=(n+1)-B(R) Rank from the Bottom B(R)=(n+1)-T(L) ...
Number Series

Number Series

Number Series Some Basic Formula: (a + b)(a - b) = (a2 - b2) (a + b)2 = (a2 + b2 + 2ab) (a - b)2 = (a2 + b2 - 2ab) (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc +...

Friday, 21 March 2014

Blood Relations

Blood Relations

Blood Relations Mother's or father's son     -   Brother Mother's or father's daughter -Sister Mother's or father's brother -Uncle Mother's or father's sister     - Aunt Mother's or father's father         Grandfather Mother's or father's mother- Grandmother Son's wife        ...

Friday, 14 March 2014

Area formulas and concepts

Area formulas and concepts

1. Area formulas and concepts I. Results on Triangles: 1. Sum of the angles of a triangle is 180. 2. The sum of any two sides of a triangle is greater than the third side. 3. Pythagoras Theorem: In a right-angled triangle  (Hypotenuse)2=(Base)2+(Perpendicular)2 Please Note, this is very...
Average

Average

Average: Average = (Sum of observations/Number of observations) Average Speed: Suppose a man covers a certain distance at x kmph and an equal distance at y kmph. Then, the average speed druing the whole journey is (2xy/x + y) kmph. For example:Average of 1,2,3,4,5 then      ...
Clock

Clock

Important Formulas - Clock 1.Minute Spaces The face or dial of clock is a circle whose circumference is divided into 60 equal parts, named minute spaces 2.Hour hand and minute hand A clock has two hands. The smaller hand is called the hour hand or short hand and...
Calendar

Calendar

Important Formulas - Calendar 1)Odd Days Number of days more than the complete weeks are called odd days in a given period 2)Leap Year A leap year has 366 days. In a leap year, the month of February has 29 days Every year divisible by 4 is a...

Thursday, 13 March 2014

Problems on Ages

Problems on Ages

Important Formulas on "Problems on Ages" : 1. If the current age is x, then n times the age is nx. 2. If the current age is x, then age n years later/hence = x + n. 3. If the current age is x, then age n years...
Percentage

Percentage

Percentage 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 . To express a/b as a percent: We have,...
Partnership

Partnership

Partnership: When two or more than two persons run a business jointly, they are called partners and the deal is known as partnership. Ratio of Divisions of Gains: When investments of all the partners are for the same time, the gain or loss is distributed among the partners...
Profit and Loss

Profit and Loss

IMPORTANT FACTS Cost Price: The price, at which an article is purchased, is called its cost price, abbreviated as C.P. Selling Price: The price, at which an article is sold, is called its selling prices, abbreviated as S.P. Profit or Gain: If S.P. is greater than C.P., the...
Compound Interest

Compound Interest

Compound Interest: Let Principal = P, Rate = R% per annum, Time = n years. When interest is compound Annually:    Amount = P(1 +R/100)n When interest is compounded Half-yearly:     Amount = P(1 +(R/2)/100)2n When interest is compounded Quarterly:     Amount = P(1 +(R/4)/100)4n When...
Simple Interest

Simple Interest

Principal: The money borrowed or lent out for a certain period is called the principal or the sum. Interest: Extra money paid for using other's money is called interest. Simple Interest (S.I.): If the interest on a sum borrowed for certain period is reckoned uniformly, then it is...
Time and Work

Time and Work

Time and Work Work from Days: If A can do a piece of work in n days, then A's 1 day's work =1. n Days from Work: If A's 1 day's work =1,then A can finish the work in n days. n Ratio: If A is thrice as good a workman as...
Height and Distance

Height and Distance

Height and Distance Trigonometry: In a right angled  OAB, where BOA = , 1.   sin  =Perpendicular=AB; HypotenuseOB 2.   cos  =Base=OA; HypotenuseOB 3.  tan  =Perpendicular=AB; BaseOA 4.  cosec  =1=OB; sin AB 5.   sec  =1=OB; cos OA 6.  cot  =1=OA; tan AB Values of T-ratios: ...
Time and Distance

Time and Distance

 Time and Distance 1. Formula of Speed    Speed =(Distance/Time)    So Formula of speed is, speed is equal to distance upon time. If you remember this formula then you will learn next two formula two. 2. Formula of Time     Time =(Distance/Speed)    So Formula of time...

Tuesday, 11 March 2014

Aptitude And Reasoning  Portion

Aptitude And Reasoning Portion

Aptitude And Reasoning      Aptitude Portion :  Problems on Trains   Time and Distance  Height and Distance Time and Work Simple Interest Compound Interest Profit and Loss Partnership Percentage Problems on Ages Calendar Clock Average Area Volume and Surface Area Permutation and Combination Numbers Problems on Numbers Formulas...
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