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.
For Example:
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 Tricks
Examples 1:
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 2:
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 3:
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 5:
11, 14, 19, 22, 27, 30, ?
Answer :
The pattern is + 3, + 5, + 3, + 5, …………
So the missing term is = 30 + 5 = 35 .
Example 6:
6, 12, 21, ? , 48
Answer :
The pattern is + 6, + 9, + 12, +15 ………..
So the missing term is = 21 + 12 = 33 .
Example 7:
18, 22, 30, ? ,78, 142
Answer :
The pattern is +4, +8, +16, +32, +64
So the missing term is = 30 + 16 = 46 .
Example 8:
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 9:
8, 35, ? , 143, 224, 323
Answer :
The pattern is (32 – 1), (62 – 1),………., (122 – 1), (152 – 1), (182 – 1)
So the missing term is = (92 – 1 ) = 81 – 1 = 80 .
Example 10:
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 .
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.
For Example:
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 Tricks
Examples 1:
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 2:
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 3:
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 4:
0, 6, 24, 60, 120, 210, ?
Answer :
The given series is : 13 – 1, 23 – 2, 33 – 3, 43 – 4, 53 – 5, 63 – 6,
So the missing term = 73 – 7 = 343 – 7 = 336 .
0, 6, 24, 60, 120, 210, ?
Answer :
The given series is : 13 – 1, 23 – 2, 33 – 3, 43 – 4, 53 – 5, 63 – 6,
So the missing term = 73 – 7 = 343 – 7 = 336 .
Example 5:
11, 14, 19, 22, 27, 30, ?
Answer :
The pattern is + 3, + 5, + 3, + 5, …………
So the missing term is = 30 + 5 = 35 .
Example 6:
6, 12, 21, ? , 48
Answer :
The pattern is + 6, + 9, + 12, +15 ………..
So the missing term is = 21 + 12 = 33 .
Example 7:
18, 22, 30, ? ,78, 142
Answer :
The pattern is +4, +8, +16, +32, +64
So the missing term is = 30 + 16 = 46 .
Example 8:
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 9:
8, 35, ? , 143, 224, 323
Answer :
The pattern is (32 – 1), (62 – 1),………., (122 – 1), (152 – 1), (182 – 1)
So the missing term is = (92 – 1 ) = 81 – 1 = 80 .
Example 10:
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 .
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