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  #1  
Old January 31st, 2014, 10:33 AM
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Join Date: Apr 2013
Default Tricks Required to Solve Aptitude Questions

Will you please give me some shortcut tricks to Solve Aptitude Questions especially for finding Squares of numbers???

As you want to get tricks to Solve Aptitude Questions so here I am giving you some tricks:

Aptitude tests a person's mathematical ability.

It covers areas like probability, time and distance, menstruation, profit and loss, number system, fractions.

Candidates should do practice as many sums as possible.

Candidates try to learn multiplication tables by heart.

Candidates also try to solve questions by using mental tricks.

Candidate should do Practice, practice and more practice is the key to achieving good scores here.

Candidate should know about time management then everything will be easier.

Here I am giving you some topics of Aptitude Test:

Basics:
Number Properties
LCM, HCF
Divisibility
Remainder Theorem

Arithmetic:
Fractions & Decimals, Ratio & Proportion, Square Roots
Simple & Compound Interest
Time & Speed, Unitary Method, Time & Work
Profit & Loss
Percentage & Discount

Algebra:
Simple Equations
Quadratic Equations
Polynomials
Exponents
Functions

Sets, Relations & Mappings:
Sets
Venn Diagrams
Relations
Functions

Menstruation:
Areas of Triangle, Quadrilateral, and Circle
Volume of Cylinder, Cone, and Sphere

Geometry:
Triangles
Properties of Circle
Parallelogram

Statistics:
Mean
Median
Mode
Quartiles

Last edited by Aakashd; February 24th, 2020 at 05:27 PM.
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  #2  
Old February 4th, 2014, 11:05 AM
Sashwat's Avatar
Super Moderator
 
Join Date: Jun 2011
Default Re: Tricks Required to Solve Aptitude Questions

As you require the tricks to Solve Aptitude Questions, so first of all Get the right study material. The books I prefer for numerical reasoning are

Quantitative Reasoning – R.S. Agarwal
Quantitative Reasoning for CAT – Arun Sharma

Here I am giving you the Shortcuts tricks for finding Squares of numbers-fast math tricks for calculating squares

For preparing Squares, you need to first remember square numbers up to minimum 30 on your fingertips or if you can practice remember up to 50.

Shortcut method of squaring any number ending in 5:
i.e.
(45)^2= square of 45

= (4*5)!5*5
=20!25
=2025=(45)^2

Here the first number 4 should be multiplied with (4+1) by adding 1 and also squaring only 5 means we get 25.
For example:
(Xy5)^2= (xy*(xy+1)) ! (5)^2
(115)^2= 11!5=(11*12)!25= 132!25

Here the first number 11 is multiplied with adding 1 in it (11*12) and side by squaring 5 and then putting them together.

Square of like numbers:
Here are formula shortcuts of like numbers i.e. 44,66,777,8888,99999 etc.
(xx)^2= 121*[(x)^2]
Example
66^2= 121*[(6)^2]= 121*36= 4356

Similarly
(xxx)^2= 12321*[(x)^2]
(xxxx)^2= 1234321*[(x)^2]

Here are some Important points for remembering about squares that will let you do faster calculations or give you an idea of the outcome.

-Square of any number is always positive.
-Square of any number cannot end with 2, 3, 7 or 8.
-The numbers which ends at 1,5,6 and 0 will always get 1,5,6 and 0 in the end of their squares.
-Square of any number cannot have odd number of zeros in its end.
-Square of an even number is always even and square of an odd number is always odd.
-Every square number is either a multiple of 3 & 4 or exceeds the multiple of 3 & 4 by 1.
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