**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.

Example #1

180, 179, 160, 156, 224, ?

- 88
- 99
- 100
- 110

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (B)

**How to Solve**

180 – 1

^{3}= 179

179 + 2

^{3}= 187

187 – 3

^{3}= 160

160 + 4

^{3}= 224

**224 – 5**

^{3}= 99**Rough Workspace**

Example #2

6, ? , 33, 69, 141, 285

- 15
- 18
- 22
- 31

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (A)

**How to Solve**

6

**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

**Rough Workspace**

Example #3

4, 16, 64, 256, 1024, ?

- 4096
- 3308
- 4290
- 2896

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (A)

**How to Solve**

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**

**Rough Workspace**

Example #4

8, 16, 24, 40, 64, ?

- 80
- 96
- 100
- 104

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (D)

**How to Solve**

8 + 8 = 16

16 + 8 ( add previous ) = 24

24 + 16 ( add previous ) = 40

40 + 24 ( add previous ) = 64

**64 + 40 ( add previous ) = 104**

**Rough Workspace**

Example #5

24, ? , 208, 622, 1864

- 60
- 68
- 70
- 78

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (C)

**How to Solve**

**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.

**Rough Workspace**

Example #6

111, 220, 438, ? , 1746

- 874
- 678
- 740
- 836

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (A)

**How to Solve**

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.

**Rough Workspace**

Example #7

11, 24, 50, 102, 206, ?

- 400
- 414
- 406
- 424

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (B)

**How to Solve**

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.

**Rough Workspace**

Example #8

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

- 316
- 326
- 336
- 346

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (C)

**How to Solve**

1

^{3}– 1 = 0

2

^{3}– 2 = 6

3

^{3}– 3 = 24

4

^{3}– 4 = 60

5

^{3}– 5 = 120

6

^{3}– 6 = 210

**7**

^{3}– 7 = 336So, the missing term is 336.

**Rough Workspace**

Example #9

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

- 31
- 32
- 33
- 35

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (D)

**How to Solve**

The pattern is +3, +5, +3, +5, …

11 + 3 = 14

14 + 5 = 19

19 + 3 = 22

22 + 5 = 27

27 + 3 = 30

**30 + 5 = 35**

So, the missing term is 35.

**Rough Workspace**

Example #10

6, 12, 21, ? , 48

- 27
- 30
- 31
- 33

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (D)

**How to Solve**

The pattern is +6, +9, +12, +15, …

6 + 6 = 12

12 + 9 = 21

**21 + 12 = 33**

33 + 15 = 48

So, the missing term is 33.

**Rough Workspace**

Example #11

18, 22, 30, ? , 78, 142

- 46
- 48
- 50
- 52

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (A)

**How to Solve**

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

18 + 4 = 22

22 + 8 = 30

**30 + 16 = 46**

46 + 32 = 78

78 + 64 = 141

So, the missing number is 46.

**Rough Workspace**

Example #12

589245773, 89245773, 8924577, 924577, ?

- 89547
- 92577
- 92457
- 89254

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (C)

**How to Solve**

In this pattern one digit is removed from the beginning of the number and then one is removed from the end of the number. And this process is continuing.

589245773

8924577

**92457**~~7~~ = 92457

So, the subsequent number of the missing series is 92457.

**Rough Workspace**

Example #13

8, 35, ? , 143, 224, 323

- 68
- 80
- 92
- 108

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (B)

**How to Solve**

3

^{2}– 1 = 8

6

^{2}– 1 = 35

**9**

^{2}– 1 = 8012

^{2}– 1 = 143

15

^{2}– 1 = 224

18

^{2}– 1 = 323

So, the missing number is 80.

**Rough Workspace**

Example #14

3, 7, 23, 95, ?

- 168
- 224
- 338
- 479

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (D)

**How to Solve**

The pattern is [ (Previous Value) x 2 + 1 ], [ (Previous Value) x 3 + 2 ], [ (Previous Value) x 4 + 3 ], [ (Previous Value) x 5 + 4 ], ……….

3

3 x 2 + 1 = 7

7 x 3 + 2 = 23

23 x 4 + 3 = 95

**95 x 5 + 4 = 479**

So, the missing term is 479.

**Rough Workspace**

### Other Types of Number Series

- Perfect Square Series
- Ration Series
- Perfect Cube Series
- Geometric Series
- << Go back to Number Series main page

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excellent/superb

its a good game of brain………

Hi

i can’t do this topics is very fast so i need some deep short cut tricks if any short cuts are having kindly let me know am waiting

thank you…realy very helpful

In Example 10, 3X3+2 isn’t 7

3, 7, 23, 95, ?

( x 2 + 1 ),( x 3 + 2) , ( x 4 + 3 ) ,

3×2+1 = 7

7×3+2 = 23

23×4+3 = 95

…..onward.

pls send me math tricks my mail id

18,30,48,72,96,….? please solve this

Answer: 96

18 x 2 – 6 = 30

30 x 2 – 12 = 48

48 x 2 – 24 = 72 and so on

72 x 2 – 48 = 96

1,4,27,16,?,36,343

1^3=1

2^2=4

3^3=27

4°2=16

5^3=125

6^2=36

7^3=343.

plzs sedn me mathtricks

thnx

but i cannot do fast

Question-1,2,3,4,4,4,7,6,?

pls solve the series : 22,18,27,16,23,____.

And this one too : 38,24,62,12,74,___,___.

Plz solve with Expaination:

How many right side or tens zero

(i) 1x2x3……………..x100.

(ii) 5x10x15x20x25……..x1000.

Please solve this..

48,24,24,36,72,180,?

48X0.5 = 24

24X1 = 24

24X1.5 36

36X2 = 72

72X2.5 = 180

180X3 = 540

I want 8 13.5 32.5 103 x 2093 find x value

31 , 17 , 34 , 22 , 44 , 34 , 68 , x what is the answer?

60

how do we know there must be 2,3,….or any with substract,division…etc,what is the trick to use in invent correct number with use of 2,3… and substract,division….I am not able to catch the correct number or technique to solve the problem….

See example 5 …how we know put 2 in that with substract and add…?

How to use division ,multiply,…etc in the question exactly with 2,3,…… how we put there these numbers with squares or cubes….what is the trick to know what to apply there in question to get answer?

5,348,1128,3759 plzz solve this & let me know answer….

1 13 49 129 279 ?

Pleas solve 12, 8, 10, 17, 36, ?

0,2,6,8,16,20,54?

plz solve

2,8,26,62,122,212,?