**Mixed Series**

Mixed Number 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.

In mixed Series a mixed number is a combination of number in another way it is not a sequential number series number that you have arranged. In example 1, 111, 220, 438, ?, 1746 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 mixed numbers .

At first you can calculate missing number in mixed 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 two difference numbers result you need follow some step wise.

At first calculate the first and second number common difference then follow same steps another two number differences calculation which is carry up to last and after that you get actual missing number by finding the common difference when you put the missing number you have noticed that all series number are common difference in between them.

This kind of missing series calculation you go thorough some common calculation shortcut tricks square or division, cube, addition, multiplication.

In this type series example questions, it is sounds hard, but it really isn’t. Get it? Once you have done this, by practice with more example then you just easily can do in your way as well competitive and as in bank exam also. So, each of our examples are given below.

**Mixed Series**

**Example 1:** 180, 179,183, 156, 172, ?

**Answer :** – 1^{3}, + 2^{3}, -3^{3}, +4^{3}, -5^{3}

**Example 2:** 6, ?, 33, 69, 141, 285

**Answer :** x 2 + 3, x 2 + 3, x 2 + 3, x 2 + 3, x 2 + 3, x 2 + 3

**Example 3:**

4, 16, 64, 256, 1024, ?

**Answer:** Multiply each number by 4 to get the next number.

4 x 4 = 16

16 x 4 = 64

64 x 4 = 256

256 x 4 = 1024

1024 x 4 = 4096

**Example 4:**

8, 16, 24, 40, 64, ?

**Answer:**

8 + 8 = 16

16 + 8( add previous ) = 24

24 + 16( add previous ) = 40

40 + 24( add previous ) = 64

64 + 40( add previous ) = 104

**Examples 5:**

24, ?, 208, 622, 1864

**Answer:**

from 24 to ? we get using this 24 x 3 = 72 – 2 = 70, Similarly we follow next steps

from 70 to 208 we get using this 70 x 3 = 210 – 2 = 208,

from 208 to 622 we get using this 208 x 3 = 624 – 2= 622,

from 622 to 1864 we get using this 622 x 3 = 1866 – 2 = 1864.

So the missing number is 70

**Examples 6:**

111, 220, 438, ?, 1746

**Answer:**

from 111 to 220 we get using this 111 x 2 = 222 – 2 = 220,similarly we follow next steps

from 220 to 438 we get using this 220 x 2 = 440 – 2 = 438,

from 438 to ? we get using this 438 x 2 = 876 – 2 = 874,

from 874 to 1746 we get using this 874 x 2 = 1748 – 2 = 1746.

So the missing number is 874

**Examples 7:**

11, 24, 50, 102, 206, ?

**Answer:**

11 x 2 = 22 +2 = 24,

24 x 2 = 48 + 2 = 50,

50 x 2 = 100 + 2 = 102,

102 x 2 = 204 + 2 = 206,

206 x 2 = 412 + 2 = 414.

So the missing number is 414.

** Example 8:**

0, 6, 24, 60, 120, 210, ?

**Answer : **The given series is : 1

^{3}– 1, 2

^{3}– 2, 3

^{3}– 3, 4

^{3}– 4, 5

^{3}– 5, 6

^{3}– 6,

So the missing term = 7

^{3}– 7 = 343 – 7 = 336 .

**Example 9:**

11, 14, 19, 22, 27, 30, ?

**Answer :**

The pattern is + 3, + 5, + 3, + 5, …………

So the missing term is = 30 + 5 = 35 .

**Example 10:**

6, 12, 21, ? , 48

**Answer :**

The pattern is + 6, + 9, + 12, +15 ………..

So the missing term is = 21 + 12 = 33 .

**Example 11:**

18, 22, 30, ? ,78, 142

**Answer :**

The pattern is +4, +8, +16, +32, +64

So the missing term is = 30 + 16 = 46 .

**Example 12:**

589245773, 89245773, 8924577, 924577, ?

**Answer :**

The pattern is The digits are removed one by one from the beginning and the end in order alternately, So to obtain the subsequent terms of the missing series is = 92457 .

**Example 13:**

8, 35, ? , 143, 224, 323

**Answer :**

The pattern is (3^{2} – 1), (6^{2} – 1),………., (12^{2} – 1), (15^{2} – 1), (18^{2} – 1)

So the missing term is = (9^{2} – 1 ) = 81 – 1 = 80 .

**Example 14:**

3, 7, 23, 95, ?

**Answer :**

The pattern is ( x 2 + 1 ),( x 3 + 2) , ( x 4 + 3 ) , ……….

So the missing term is = 95 x 5 + 4 = 479 .