Aptitude Notes

Aptitude Notes

Aptitude consists of the following subtopics Alligation of Mixture, Area, Average, Banker’s Discount, Boats and Streams, Calendar, Chain Rule, Clocks, Compound Interest, Decimal Fractions, H.C.F. and L.C.M of Numbers, Heights & Distance, Logarithms, Operations on Numbers, Partnership Percentage , Permutations and Combinations, Pipes and Cisterns, Problems on Ages, Problems on Numbers, Problems on Trains, Profit and Loss, Races and Games of Skill, Ratio and Proportion, Simple Interest, Simplification, Stock & Shares, Time and Distance, Time and Work, True Discount, Volume and Surface Area.

The average of n quantities of the same kind is equal to the sum of all the quantities divided by the number of quantities. Natural numbers: The counting numbers which are used for counting are known as natural numbers, i.e. 1,2,3,4,5,6,7,8, and 9. These figures are known as digits. The natural numbers are denoted by ‘N’. 0 is known as insignificant digit and other digits are known as significant digits. Prime numbers: A whole number which is greater than 1 and is divisible by 1 and itself is a prime number, e.g. 2,3,5,7,11. Co-prime numbers: Two natural numbers p and q are said to be co-prime if their H.C.F. is 1, e.g. (2, 3) (4, 5) (7, 9) (11, 9). Composite number: It refers to a whole number which is greater than 1 and is not a prime number.It can be divided by numbers other than 1 and itself e.g. 4,6,8,9,10,12. Even number: An integer which is divisible by 2 is known as an even number e.g. 2,4,6,8. Odd number: An integer which is not divisible by 2 is know as an odd number e.g. 1,3,5,7,9. Compound Interest: The addition of interest to the principal sum each year or some fixed time period is known as compounding. So, the compound interest is the interest on interest. The interest of each year or some fixed time period is added to the principal sum and the new amount becomes the principal for the next year and interest is calculated on the increased amount for the next year. A pipe is connected to a tank or cistern. It is used to fill or empty the tank; accordingly, it is called an inlet or an outlet. Inlet: A pipe which is connected to fill a tank is known as an inlet. Outlet: A pipe which is connected to empty a tank is known as an outlet. Partnership: It refers to a business association between two or more than two persons who run a business together and share the total profit at an agreed proportion. The persons who enter into a partnership are called partners. Working partner: A partner who is actively involved in the business and manages the business is known as an active partner.

Cost Price: It is the price at which a product is purchased. It is commonly abbreviated as C.P. Selling Price: It is the price at which a product is sold. It is commonly abbreviated as S.P. Profit or gain: If the selling price of a product is more than the cost price, there will be profit in the deal. Loss: If the selling price of a product is less than the cost price, the seller will incur a loss. Speed: The rate at which an object is moving is known as its speed. It is the distance traveled per unit time e.g. an object moving at 20 m/s shows that the object covers a distance of 20 meters every second. Interest: It is the money paid by the borrower to the lender for using the borrowed money. Principal: The total amount of money borrowed by the borrower is called principal. Amount: It is the sum of the interest and principal i.e. the total money paid back to the lender which includes principal and interest. Simple Interest: It is the interest which is payable only on the principal e.g. Simple interest on Rs. 100 at the rate of 5% per annum will be Rs. 5 each year; after one year the amount will be 105, and after two year the amount will be Rs. 110 and so on.

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