Tips and Tricks on Alligation
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…
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…
IMPORTANT CONCEPTS Banker’s Discount: Suppose a merchant A buys goods worth, say Rs. 10,000 from another merchant B at a credit of say 5 months.…
Races: A contest of speed in running, riding, driving, sailing or rowing is called a race. Race Course: The ground or path on which contests are made…
Stock Capital:The total amount of money needed to run the company is called the stock capital. Shares or Stock:The whole capital is divided into small units,…
Direct Proportion:Two quantities are said to be directly proportional, if on the increase (or decrease) of the one, the other increases (or decreases) to the…
‘BODMAS’ Rule:This rule depicts the correct sequence in which the operations are to be executed, so as to find out the value of given expression.Here…
CUBOID Let length = l, breadth = b and height = h units. Then Volume = (l x b x h) cubic units. Surface area = 2(lb + bh + lh) sq. units. Diagonal = l2 + b2 + h2 units. CUBE Let each edge of a…
(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 + ca) (a3 + b3) = (a + b)(a2 – ab + b2) (a3 – b3) = (a – b)(a2 + ab + b2) (a3 + b3 + c3 – 3abc) = (a + b + c)(a2 + b2 + c2 – ab – bc – ac) When a + b + c =…
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. Examples: We define 0! = 1.…
Downstream/Upstream:In water, the direction along the stream is called downstream. And, the direction against the stream is called upstream. If the speed of a boat in still…