Number series solution method

NUMBER SERIES

Number series is a form of numbers in a certain sequence, where some numbers are mistakenly put into the series of numbers and some numberis missing in that series, we need to observe first and then find the accurate number to that seriesof numbers...newstab

Types of no series

Perfect Squre

Perfect square series is an arrangement of numbers in a certain order where each numbers are square of a number. So, in that series of numbers some numbers are missing. You need to observe and find the missing number of that series of numbers.

This type of problem are given in Quantitative Aptitude part which is a very essential in competitive exam. And, it is very simple to work with perfect square root numbers. You can easily obtain the result of perfect square number. So, how you get Perfect square missing numbers by memorize square and square root numbers shortcut tricks...

Q::441,484,529,576, ?  

21^2 = 441  

22^2 = 484

23 ^2= 529

24^2 = 576

25^2= 625

Q::121,144,?,196,225

11^2 = 121

12^2 = 144

13^2= 169

14^2= 196

15^2= 225

Perfect cube

 series is a arrangement of numbers in a certain order,where some numbers this Types of Series are based on cube of a number which is in same order and one cube number is missing in that given series.

we need to observe and find the accurate number to the series of numbers. This type of problem are given in Quantitative Aptitude which is a very essential paper in banking exam.Under below given some more example for your better practice.

All numbers are arranged in sequence order. we need to observe and find the accurate number to this type series of numbers. Here we learn the perfect cube series ..

Q::1,27, ? ,343 , 512 , 729.

1^3 = 1

3^3 = 27

5^3= 125

7^3= 343

8^3= 512

9^3= 729

Q::125, ? , 343, 512, 729, 1000.

5^3= 125

6^3= 216

7^3= 343

8^3= 512

9^3= 729

10^3= 1000

Ratio and Proportion 

shortcut tricks are very important thing to know for your exams. Time takes a huge part in competitive exams. If you manage your time then you can do well in those exams. Most of us miss this thing. Few examples on Ratio and Proportion shortcuts

is given in this page below. All tricks on ratio and proportion are provided here. Visitors please read carefully all shortcut examples. These examples here will help you to better understand shortcut tricks on Ratio and Proportion Methods .

First of all do a practice set on math of any exam. Write down twenty math problems related to this topic on a page. Using basic math formula do first ten maths of that page. You also need to keep track of Timing. After solving all ten math questions write down total time taken by you to solve those questions. Now read our examples on ratio and proportion shortcut tricks and practice few questions. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of Timing. This time you will surely see improvement in your timing. But this is not enough. You need more practice to improve your timing

Q::A : B = 7 : 9, C : D = 6 : 13, Then A : B : C = ?

A : B : C = (7 x 6) : (9 x 6) : (9 x 13) = 42 : 54 : 117

Q:: P : Q : R = 2 : 3 : 4, Then P / Q : Q / R : R / P = ?

P : Q : R = 2 : 3 : 4

Let P = 2k,

Q = 3k,

R = 4k.

Then,

P / Q = 2k / 3k = 2 / 3

Q / R = 3k / 4k = 3 / 4

R / P = 4k / 2k = 2 / 1.

At first we do LCM.

And LCM of 2, 3, 4 is 12.

Now we multiplied the LCM value with the ratio numbers,

Like, ( 2 / 3 ) x 12 = 8

( 3 / 4 ) x 12 = 9

( 2 / 1 ) x 12 = 24..

Geometric series 

combination of number arranged. In example 1) 5, 45, 405, 3645, ? where you need to count them in a one step or two step calculation for obtain the difference common result according with the series of numbers.

At first you can calculate missing number in geometric series and that you place the actual missing number in the? or missing place. Be prepared when you calculate differences because it is either one or two step calculation. So when you calculate and get result of two difference numbers you need follow some step wise.

At first calculate the first number 5 with 9 and second number value we get that is 45 then again second number calculate multiply with 9 and get the third number and follow same steps which is carry up to last and after that you get actual missing number by finding the common value when you put the missing number you have noticed that all series numbers are common 9 which multiply with number and get next number difference. 

Q::3, ? , 45, 144, 585.

3 x 0 + 9 = 9

9 x 1 + 9 = 18

18 x 2 + 9 = 45

45 x 3 + 9 = 144

144 x 4 + 9 = 585

5, 45, 405, 3645, ?

5 x 9 = 45

45 x 9 = 405

405 x 9 = 3645

3645 x 9 = 32805.

Mixed Series

 is a arrangement of numbers in a certain order. How you know that the given series is mixed series, notice that this type of series are more then one different order which arranged in alternatively in a single series or created according to any non conventional rule.

Find the accurate number to the blank or ? mark series of numbers using calculation. This type of problem are given in Quantitative Aptitude which is a very essential in banking exam.Under below given some more example for your better practice.

Q::180, 179, 160, 156, 224, ?

180 – 1 = 179

179 + 2 = 187

187 – 3 = 160

160 + 4 = 224

224 – 5 = 99

Q::6, ? , 33, 69, 141, 285 

6 x 2 + 3 = 15

15 x 2 + 3 = 33

33 x 2 + 3 = 69

69 x 2 + 3 = 141

141 x 2 + 3 = 285

Missing Number series

Q::5,12,27, 58 , 121 , ? .

5×2+2=12

12×2+3=27

27×2+4=58

58×2+5=121 

121×2+6=248

Q::6  ,  9  ,18  ,  45  ,   ?

6×1.5=9

9×2=18

18×2.5= 45 

45×3=135..

Wrong Number series

Q:;0 ,  1  ,9  , 36  ,99  ,225  ,441

0^2=0

1^2=1

3^2=9

10^2=100

15^2=225

21^2=441

Wrong no is 99

Q::198  ,  194  ,185  ,168  ,144

194-198=-4=2^2

185-194=-9=3^2

168-185=-16=4^2

144-168=-25=5^2

Wrong no is 168 

It is 169 is correct...

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