Geometry Formulas - Pdf Download

Friends, with this post we are giving you the pdf file of geometry formulas. In this small ebook (can we call a single page pdf file as an e book???) we have included all important formulas of geometry (both two dimensional figures and  and three dimensional figures). Just take a printout of this page (it hardly will cost you 1 Rupee). This will help you a lot in reviewing all geometry formulas. We have made this pdf file for those people who are going to appear for the SSC CGL Tier I exam. But this will helpful for those people who are appearing for different types of competitive exams which are having geometry as one of their subject. All the best and happy preparation :)

Trigonometry Basics - Pdf Free Download

Friends, in today's post we are going to discuss one of the very important topic of aptitude Trigonometry. The origins of the  word Trigonometry are two Greek words. Trigonon and metria. The word Trigonon means Triangle and the word Metria means to Measure. In simple words Trigonometry is all about Triangles and their angles. This deals with the ratios between the sides of right triangles with reference to either of its acute angles and enables you to use this information to find unknown sides or angles of any triangle. This is the brief introduction of Trigonometry.

In SSC CGL and some other competitive exams you will face questions from Trigonometry. We made this small pdf ebook by keeping those aspirants in mind who are going to write SSC CGL exam, but this also will help other aspirants who are having trigonometry as a subject. 

Shortcuts Maths

Friends, Here you can find Aptitude Shortcuts which are very useful for all the Competitive Exams. We have started with the basic Shortcuts for Aptitude and explained how to save time by improving your Calculation Speed while calculating mathematical problems. The best thing is we have provided aptitude in pdf files when ever it is possible so that you can download and read. We can proudly say that these posts are very useful for those people who are searching for Aptitude for Bank Exams, Aptitude for Cat, SSC and ofcourse each and every Competitive Exam which contains Aptitude Section in it. Thats all for now friends, its upto you to decide how these maths shortcuts and tricks works. All The Best and Happy Reading :)

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Speed Improvement Test - Day 3

Recommended Time : 15 Mins

<< Read Shortcut Techniques Here

Additions / Subtractions

1. 7281 + 6542 + 3761 + 12895 = ?
2. 4321 + 6598 + 1762 + 8009 + 1076 + 1421 = ?
3. 17146 + 67421 + 86432 + 54321 = ?
4. 89 + 203 - 1096 + 14762 = ?
5. 77690 - 7769 + 776 - 77 + 6 = ?

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Speed Improvement Test - Day 2

Recommended Time : 15 Mins

<< Read Shortcut Techniques Here

Additions / Subtractions

1. 5462 + 2186 + 1239 + 8641 + 5742 = ?
2. 6156 + 5421 + 3415 + 8036 + 2909 = ?
3. 1245 - 6421 - 3091 + 8765 = ?
4. 43219 + 89176 + 27461 + 7091 + 5678 = ?
5. 9876 - 5432 - 2764 - 1024 = ?

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Time and Work - Problems

<< Read Basics Here

1.  36 men can do a piece of work in 25 days. In how many days can 30 men do it?

    Here , the work is same.. So,

                    

                    (S X T) / W = (s X t) / w 

        

                  = >       (S X T) / W = (s X t) / w    [ Cancel W for both sides]

               Now, substitute the values...

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Averages - Examples

<< Read Basics Here

The average income of 3 friends in a group of six is Rs. 6,600 and that of the other two is Rs. 6,500. If the average income of all the six is Rs. 6,400, find the income of the 6th friend.

Sol :

            Average Income of 3 Friends = Rs. 6,600

            So, Total Income of 3 friends = 3 X 6,600 = Rs. 19,800

            Average income of 2 friends = 2 X 6,500

            So, Total income of 2 friends = 2 X 6,500 = 13,000

            Total income of 5 friends = Rs. 19,800 + Rs. 13,000 

                                                                         = Rs. 32,800

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Averages

Always people find it difficult to remember the information given in different groups or in different numbers. In such cases, the approximate number is useful. That is why we often hear remarks such as, the average of Sachin's runs in five innings is 65, in a standard VII class of 65 pupils, the average attendance last week was 60. Let us try to find out the mathematical meaning of the word "Average" first. Have a look at the following example.

All of us know that the speed of a vehicle does not remain constant during a journey. Therefore, the distance traveled is different in each hour. Still taking into consideration the total distance traveled and and total time required for that, the distance traveled by that vehicle per hour is determined for the sake of convenience. In order to find out

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Mental Maths (Percentage Calculations)

In this post we shall discuss about Percentage Calculations. Have a look at the following examples.

• 39 is what percent of 186 ?

• Remember friends. The number that follows 'OF' should always come in the Denominator. And here I am not going to use any mathematical techniques. Just guessing the answer with the given numbers. Remember, No need to get the EXACT answer. Approximate answers will be sufficient (Until you have options like A)12.06 B)12.63 C)12.89 etc....)
• So, here we have to calculate (39/186) X 100 

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Mental Maths (Comparison of Fractions) - Part 1

You have to Compare the given fractions in a number of problems in Data Interpretation and Quantitative Ability. Let us study some of the common methods of identifying out the largest or smallest of a given set of fractions which are useful for Mental Maths. 

Model 1 :

When the numerators are same and the denominators are different, the fraction with the largest denominator is the smallest. Have a look at the following example.

• Which of the following fractions is the smallest?
• (3/5) , (3/7) , (3/13), (3/8)

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Mental Maths (Additions / Subtractions of Fractions)

In this post we shall discuss How to Add / Subtract Fractions... Have a look at the following Problems.

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Mental Maths (Additions)

In this post, we will show you how to do Additions Mentally. Have a look at the Following Examples........

• 342 + 557 + 629 + 746 + 825 = ?

• When we are adding three-digit numbers, first add-two-digits at a time (Units and Tens Place).
• 42 + 57 + 29 +| 46 + 25 = 199
• To add 42 and 57, mentally treat 57 as 50 + 7 ( Because 50 would facilitate quick addition)
• So, 42 + 57 = (42 + 50) + 7 = 92 + 7 = 99
• Similarly, 99 + 29 = (99 + 20_ + 9 = 128
• 128 + 46 = (128 + 40) + 6 = 174
• 174 + 25 = (174 + 20) + 5 = 199
• The last two digits (the units place and the tens place)

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Cubes

Here are the Cubes of 1 to 15 numbers. By heart them.....




1 X 1 X 1 is : 1
2 X 2 X 2 is : 8
3 X 3 X 3 is : 27
4 X 4 X 4 is : 64
5 X 5 X 5 is : 125


6 X 6 X 6 is : 216
7 X 7 X 7 is : 343
8 X 8 X 8 is : 512

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Squares

Here are the Squares of 1 to 30 numbers. Byheart them....




1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25

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Number Series

A number series can be considered as a collection of numbers in which all the terms are formed according to some particular rule or all the terms follow a particular pattern. The relation of any term to its preceding term will be same through out the series.

You have to find out the rule in which the terms of the series are selected and depending on that rule you have to find out the missing number. There is no definite rule for the series. Generally the series can be of the following types. 

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Coded Relations

Read Basics of Blood Relations Here...

Coded Relations is another important topic for Bank Exams. You can easily get 5 marks with little logical thinking and concentration. It doesn't take much effort to solve these type of questions... All that you need is Concentration and lil practice to solve these type of questions 

1. If 'A X B' means 'A is the Daughter of B'. 'A + B' means 'A is the husband of B' and 'A - B' means ' A is the sister of B', then what does ' M + N - P X Q' Mean?

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BODMAS

• In The simplifications of numerical questions, the order of mathematical operations to be followed is given in the abbreviated form : "BODMAS", where

• B stands for 'Bracket'
• O stands for 'Of'
• D stands for 'Division'
• M stands for 'Multiplication'
• A stands for 'Addition' and
• S stands for 'Subtraction'.
• Order to be followed by in case of brackets is as follows :
• (   )  : Small Brackets,
• {  } : Curly Brackets   and
• [  ]  : Square Brackets

Divisibility Rules

• A number is divisible by 2, when its unit digit is either Even or Zero.
• A number is divisible by 3, wehen the sum of its digits is divisible by 3.
• A number is divisible by 4, when the number formed by the two extreme right end digits is either divisible by 4 or both these digits are zeroes.
• A number is divisible by 5, when its unit digit is either zero or 5.
• A number is divisible by 6, when it is divisible bye 2 as well as 3.
• A number is divisible is by 7, if it passes the following Test...
• Take the last digit in a number.
• Double and subtract the last digit in your number from the rest of the digits.
• Repeat the process for larger numbers.
• Take an Example 357 (Double the 7 to get 14. Subtract 14 from 35 to get 21 which is divisible by 7 and we can now say that 357 is divisible by 7.
• A number is divisible by 8, when the number formed by its three extreme right end digits is divisible by 8 or when these last three digits are Zeros.
• A number is divisible by 9, when the sum of its digits is divisible by 9.
• A number is divisible by 10, when its unit digit is zero.
• A number is divisible by 11, when the difference between the sums of the alternate digits is either zero or divisible by 11.
• A number is divisible by 12, when it is divisible by 3 as well as 4.
• A number is divisible by 13, if sum of 4 times the digit in units place and the number in the remaining part is multiple of 13.
• If the difference of 5 times the digit in units place and the number in the remaining part is 0 or multiple of 17, then the number is divisible by 17.
• If the sum of double the digit in units place of a given number and number in the remaining part is multiple of 19, then the given number is divisible of 19.

Liked this Post? Read more Shortcuts Here                                                                                                               

Average

• Average of Given Items :
  
  

Average =		Sum of the given Items
		Number of those Items




• Average Speed :
  
  
  Suppose a Person covers a certain distance at X kmph and an equal distance at Ykmph.
  
  Then, the average speed for the whole journey will be (2XY)/(X+Y) Kmph

✒ Lets do some problems on Average (Click Here)

Shortcuts in Division

There are so many types of divisions are there. Lets have a look.

Division by parts --> Imagine you have Rs.874 . You have to give that to your two children.
874/2    [We can write this 874 as 800+74 (for our convenience)
= 800/2 + 74/2
= 400 + 37
= 437 

Division using the factors of the divisor: "this is also called as Double Division"
70/14
= (70/7)/2    (Because 7 and 2 are the factors of 14)
= 10/2
= 5

Division using Fractions:
132/2
= (100/2 + 32/2) ( here we've broken the given fraction into two separate fractions)
= (50 + 16)
= 66

Division by 5 :
Note: if you have to divide any number with 5, then divide it by 100 and then just multiply by 20
1400/5
= (1400/100) x 20
= 14 x 20
= 280

Division by 10 (Its very simple, just move the decimal point one place to the left)
0.5/10
= 0.05 

Division by 50 ( Just divide with 100 then multiply by 2)
2100/50
= (2100/100) x 2
= 21 x 2
= 42

700/50
= (700/100) x 2
= 7 x 2
= 14

Division by 100 (just move the decimal point two places to the left)
25/100 
= 0.25

Division by 500 (just divide with 100 and then multiply with 0.2)
17/500 
= (17/100) x 0.2 
= 0.17 x 0.2
= 0.034

Division by 25 (just divide by 100 and then multiply by 4 )
500/25
= (500/100) x 4
= 5 x 4
= 20

750/25
= (750/100) x 4
= 7.5 x 2 x 2
= 30

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