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# Mixed Series

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.

### Few Important things to Remember

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 – Mixed Series

180, 179, 160, 156, 224, ?

1. 88
2. 99
3. 100
4. 110

Show Answer Show How to Solve Open Rough Workspace

How to Solve
180 – 13 = 179
179 + 23 = 187
187 – 33 = 160
160 + 43 = 224
224 – 53 = 99
Rough Workspace

### Example #2 – Mixed Series

6, ? , 33, 69, 141, 285

1. 15
2. 18
3. 22
4. 31

Show Answer Show How to Solve Open Rough Workspace

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 – Mixed Series

4, 16, 64, 256, 1024, ?

1. 4096
2. 3308
3. 4290
4. 2896

Show Answer Show How to Solve Open Rough Workspace

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 – Mixed Series

8, 16, 24, 40, 64, ?

1. 80
2. 96
3. 100
4. 104

Show Answer Show How to Solve Open Rough Workspace

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 – Mixed Series

24, ? , 208, 622, 1864

1. 60
2. 68
3. 70
4. 78

Show Answer Show How to Solve Open Rough Workspace

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,
And, 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

1. 874
2. 678
3. 740
4. 836

Show Answer Show How to Solve Open Rough Workspace

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,
And, 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, ?

1. 400
2. 414
3. 406
4. 424

Show Answer Show How to Solve Open Rough Workspace

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, ?

1. 316
2. 326
3. 336
4. 346

Show Answer Show How to Solve Open Rough Workspace

How to Solve
13 – 1 = 0
23 – 2 = 6
33 – 3 = 24
43 – 4 = 60
53 – 5 = 120
63 – 6 = 210
73 – 7 = 336

So, the missing term is 336.

Rough Workspace

### Example #9

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

1. 31
2. 32
3. 33
4. 35

Show Answer Show How to Solve Open Rough Workspace

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

1. 27
2. 30
3. 31
4. 33

Show Answer Show How to Solve Open Rough Workspace

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

1. 46
2. 48
3. 50
4. 52

Show Answer Show How to Solve Open Rough Workspace

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, ?

1. 89547
2. 92577
3. 92457
4. 89254

Show Answer Show How to Solve Open Rough Workspace

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
589245773 = 89245773
89245773 = 8924577
8924577 = 924577
924577 = 92457

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

Rough Workspace

### Example #13

8, 35, ? , 143, 224, 323

1. 68
2. 80
3. 92
4. 108

Show Answer Show How to Solve Open Rough Workspace

How to Solve
32 – 1 = 8
62 – 1 = 35
92 – 1 = 80
122 – 1 = 143
152 – 1 = 224
182 – 1 = 323

So, the missing number is 80.

Rough Workspace

### Example #14

3, 7, 23, 95, ?

1. 168
2. 224
3. 338
4. 479

Show Answer Show How to Solve Open Rough Workspace

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

So, we provide few shortcut tricks on this topic. Please visit this page to get updates on more Math Shortcut Tricks. You can also like our facebook page to get updates.

If you have any question regarding this topic then please do comment on below section. You can also send us message on facebook.

1. excellent/superb

2. Ranjan Patel says:

its a good game of brain………

3. Dharani says:

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

4. khushboo says:

thank you…realy very helpful

5. Rohan says:

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.

6. anand kumar says:

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7. satish says:

18,30,48,72,96,….? please solve this

• 18 x 2 – 6 = 30
30 x 2 – 12 = 48
48 x 2 – 24 = 72 and so on
72 x 2 – 48 = 96

• JEGHATH says:

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

• ashwin says:

1^3=1
2^2=4
3^3=27
4°2=16
5^3=125
6^2=36
7^3=343.

8. hari says:

plzs sedn me mathtricks

9. pooja says:

thnx
but i cannot do fast

10. Raj sonker says:

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

11. Anu says:

pls solve the series : 22,18,27,16,23,____.
And this one too : 38,24,62,12,74,___,___.

• illangudi says:

Second one::Alternate series:First set:+24,+12 …………..
Second set: -12,-6 So it should be 06

12. Sudhir says:

Plz solve with Expaination:
How many right side or tens zero
(i) 1x2x3……………..x100.
(ii) 5x10x15x20x25……..x1000.

13. jeevanantham says:

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

• sandeep shinde says:

48X0.5 = 24
24X1 = 24
24X1.5 36
36X2 = 72
72X2.5 = 180
180X3 = 540

• illangudi says:

ANSWER; 540 Explanation: First multiply with half,then one,then one and half,then two and so on

14. Sukeerthi says:

I want 8 13.5 32.5 103 x 2093 find x value

• illangudi says:

x1plus5.5, x2plus 5.5, x3plus 5.5 so on

15. Coco says:

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

• sanju says:

60

• illangudi says:

ANSWER 8, Explanation ADJACENT PAIS LIKE 31 AND 17,34 AND 22 SO ON.THE DIFFERENCE IS DECREASED BY 2 ie 14,12,10.So next difference should be 8

16. SriramSrinivas Thipparapu says:

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…?

17. SriramSrinivas Thipparapu says:

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?

18. anshu says:

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

19. Khushi says:

1 13 49 129 279 ?

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

21. Mohd Shuja says:

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

22. grewal says:

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

• Karthik says:

338

26=3^3-1
62=4^3-2
122=5^3-3
212=6^3-4
338=7^3-5

23. Johna466 says:

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24. pinky says:

thank u

25. Gugga says:

719, 118, ?, 2, -3, -5

26. AAMIR says:

PEASE SOLVE 30 36 40 42 46 52 58 60 68 ?

27. Pavan says:

5,7,11,37,143,?

28. Karthik says:

x1+2, x2-3, x3+4, x4-5
ans: 143×5 +6 = 721