Aptitude questions for competitive exams

Square roots and cube roots shortcuts

Here we are sharing some useful shortcut tricks for finding square,cube,square root and cube root which will be helpful in competitive exams. Square-Shortcut Tricks Method1 :Apply Examples: Method2 :Square of a number ending with 5 Suppose X5 is the number. Examples: Method3 :Squres of numbers from 51-59 Add 25 to unit digit and square unit digit and concatenate two results Examples: Method4 :square if you know square of previous number Examples : Method5 :Square of a number if you know square of any other number. Let X and Y be two numbers. You know the square of X then you can deduce square of Y. Example: Choose a nearby number whose square is known to you.Suppose we choose 110 whose square is 12100 Examples: Cubes-Shortcut Apply the formula Examples: Square roots shortcuts (applicable only for perfect squares) Method1: Example1 :Square root of 2704 Step1:Seperate number into group of two from right to left ie 27 04. Step2:Wha...

Simple Interest and Compound interest shortcut formulas

Here you can find important formulas and time saving shortcut tricks and methods for simple interest and compound interest questions for various competitive exams Simple Interest Interest is said to be simple if it is calculated on the original principal throughout the loan period irrespective of the length of the period of which it is borrowed. Simple interest is given by the formula I= PRT /100 Where P=PRINCIPAL R=RATE OF INTEREST per annum T=TIME PERIOD Principal P=100I/RT Rate of interest R=100I/PT Time period T=100I/PR If principal doubles in T years,then R=100/T If principal triples in T years ,then R=200/T if principal becomes four times in T years,then R=300/T Compound Interest When money is lent at compound interest the interest is calculated at fixed interval of time i.e,at the end of year, half year,quarterly, or even monthly etc.In such cases amount after first unit of time period becomes the principal for second unit of time period,the amount after...

Geometric Progression :Important formulas

Geometric Progression Geometric Progression (GP) is a sequence, in which next term in the sequence is obtained by multiplying the previous term by a fixed number, and the fixed number is called the Common Ratio. Example : 5,15,45,135 … is a GP with first term 5 and common difference 3 General form of Geometric Progression A geometric sequence or a progression is one in which the ratio between two consecutive terms is constant. This ratio is known as the common ratio denoted by ‘r’, where r ≠ 0. The elements of the sequence be denoted by: a, ar, ar 2 , ar 3 , … , ar n-1 common ratio ‘r’= successive term/preceding term =a 2 /a 1 = a 3 /a 2 = = a n /a n-1 Types of Geometric Progression Geometric progression can be classified as Finite Geometric Progression (Finite GP) Infinite Geometric Progression (Infinite GP) Finite G.P. is a sequence that contains finite t...

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