The Satisfaction Academy

IMPORTANT FACTS AND FORMULAE 1.Natural Numbers  : Counting numbers 1, 2, 3, 4, 5,..... are called  natural  numbers.   2 . Whole Numbers :  All counting numbers together with zero form the set of  whole numbers .  Thus,              (i)  0 is the only whole number which is not a natural number.              (ii)  Every natural number is a whole number. 3.Even Numbers :  A number divisible by 2 is called an even number, e.g., 2, 4, 6, 8, 10, etc. 4.  Odd Numbers  : A number not divisible by 2 is called an odd number. e.g., 1, 3, 5, 7, 9, 11, etc. 5.  Prime Numbers :  A number greater than 1 is called a prime number, if it has exactly two factors, namely 1 and the number itself. Prime numbers upto 100 are  : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43,47,  53, 59, 61, 67, 71, 73, 79, 83, 89, 97. 7.Composite Numbers :...

IMPORTANT FACTS AND FORMULA E I.  Factors and Multiples :  If a number a divides another number b exactly, we say that a is a factor of b. In this case, b is called a multiple of a.   II. Highest Common Factor (H.C.F.) or Greatest Common Measure (G.C.M.) or Greatest Common Divisor (G.C.D.): The H.C.F. of two or more than two numbers is the greatest number that divides each of them exactly.     There are  two methods  of finding the H.C.F. of a given set of numbers :   1.  Factorization Method :  Express each one of the given numbers as the product of prime factors.The product of least powers of common prime factors gives H.C.F.   2.  Division Method:  Suppose we have to find the H.C.F. of two given numbers. Divide the larger   number by the smaller one. Now, divide the divisor by the remainder. Repeat the process of dividing the preceding number by the remainder last obtained till zero i...

When two or more than two persons run a business jointly, they are called partners and the deal is known as partnership. Ratio of Division of Gains: 1.When the investments of all the partners are do the same time, the gain or loss is distributed among the partners in the ratio of their investments. Suppose A and B invest Rs x and Rs y respectively for a year in a business, then at the end of the year:(A's share of profit):(B's share of profit)=x:y 2.When investments are for different time periods, then equivalent capitals are calculated for a unit of time by taking (capital*number of units of time). Now gain or loss is divided in the ratio of these capitals. Suppose A invests Rs x for p months and B invests Rs y for q months, then (A's share of profit):(B's share of profit)=xp:yq 3.Working and sleeping partners:A partner who manages the business is known as working partner and the one who simply invests the money is a sleeping partner. Formula:...

PROFIT & LOSS SHORTCUTS FOR QUANTITATIVE APTITUDE 1. Profit = Selling Price - Cost price 2. Selling Price = Cost Price + Profit 3. Cost Price = Selling Price - Profit 4. Loss = Cost Price - Selling Price 5. Selling Price = Cost Price - Loss 6.Cost price = Selling Price + Loss 7. Percentage profit / loss is always calculated on CP unless otherwise stated. 8. Profit Percentage = (Profit x 100) / CP 9. Loss Percentage = (Loss x CP) / CP 10. Selling Price = {[(100+ Gain %) x CP] / 100} 11. Selling Price = {[100- Loss %) x CP] /100} 12.Cost Price = {(100 x SP) / (100+ Gain %)} ________________________________________ : Cost price of the chair = [ (300 x 100) / (100 + 20) ] = 30000/120 = Rs. 250. 13.Cost Price = {(100 x SP) / (100 - Loss %)} 14. If a man buys 'p' articles for 'a' rupees and sells 'q' articles for 'b' rupees. Then, The % profit or loss = (p x b) - (q x a) / (a x q). Note: If the Sign is +ve...

PERCENTAGES SHORTCUTS FOR QUANTITATIVE APTITUDE 1. " Percent " implies " for every hundred". 2.The base used for the sake of percentage change calculations is always the original quantity unless otherwise stated. 3. In general, if the percentage increase is p%, then the new value is [(p/100) +1] 4. If the new value is k times the old value, then the percentage increase is (k-1) x 100 Eg1: If the percentage increase is 300%, the new value is 4 times the old value. If the new value is 4 times the old value, the percentage increase is 300%. 5. If there are successive increases of p%, q% and r% in three stages, the effective percentage increase is = {[(100+p) /100] [(100+q)/100] [ (100+r)/100] -1} x 100 Eg2: The percentage increase in the value of exports of apples of a country is as follows: 2001- 2002 => 25 %; 2002-2003 => 20 %; 2003-2004 => 10% What is the percentage increase in the value of exports of apples of the country fro...

TRAINS SHORTCUTS FOR QUANTITATIVE APTITUDE  1. When a train passes a stationary point, the distance covered (in the passing) is the length of the train. Eg 1: What is the time taken by a train of length 360m to cross a pole at a speed of 72 kmph ? Ans: Time taken by the train to cross the pole = Length of the train / Speed of the train Speed of the train is given in kmph, whereas the length of the train is given in mts. So the speed of the train is to be expressed in m/sec. Speed of the train ( in mts/sec) = 72 x (5/18) = 20 mts/sec Time taken by the train to cross the pole = 360/20 = 18 seconds. 2. If the train is crossing a platform or a bridge, the distance covered by the train is equal to the length of the train plus the length of the platform or a bridge. Eg 2: How long will a train 200 m long travelling at a speed of 54 kmph take to cross a platform of length 100 m? Ans: Distance covered by the train = Length of the train + Length of the plat...