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__Odd Man Out and Series Formula__

__Odd Man Out and Series Formula__

All time problem creating section of the exam is consider as
Odd Man Out and Series. To make good combination with such type of questions

ejobhub team is going to tell the Odd Man Out and Series Formula for those students
who are preparing for any competitive exam. ‘Quantitative Aptitude’ of any exam
consists of questions regarding reasoning, Odd Man Out and Series Formula,
Distance formulas and many more. Such participants who have remind all the
necessary formulas, Shortcuts and problem tricks for these types of the
questions they can get correct answer soon.
Those students who are not from math’s side they will face
difficulty to solve all the questions. Short tricks help the aspirants to
complete the question paper on given time. To score good marks in any of the
post competitive / educational exams candidates will have to learn all the
given formulas and important topics to give proper answer to series formula
related questions. Questions asked in aptitude section are very easy so don’t
take too much time in it. Apply the correct formula, write the correct digits
and don’t get confused in similar type of questions. More details in
association with Odd man out and series formula with suitable examples and
solved problems are given below. All the best!!

**: To complete the question paper on a given time period, you just need two thinks i.e. speed and accuracy. Take a look on formulas and examples that are mentioned below:**

__Shortcuts to solve Problems__**: The terms or elements follow a definite law in series but it cannot be generalized. You should know about what is the definite relationship between numbers which make the set of given terms in series. Addition, subtraction, multiplication, division, transposition of terms and series generally form such series. The different questions asked may depend upon the following:**

__Series Formula__**: The series may consist of odd numbers /even numbers or prime numbers except one number, which will be the odd man out. Hence, before solving numerical on this topic must revise all basic concepts.**

__Odd number/Even number/Prime numbers__**:**

__Perfect squares/Cubes__
Squares: 9, 16, 49, 81 ….

Cubes: 27, 64, 125, 216 ….

**: The series contains numbers which are multiple of different numbers.**

__Multiple of numbers____Example__: 4, 8, 12, 16, 20….

Numbers in A.P./G.P.

Geometric progression: x, xr, xr3, xr4

Arithmetic progression: x, x + y, x + 2y, x + 3y are said to
be in A.P.

The terms in series may be arithmetic or geometric
progression.

**: The difference between two consecutive numbers may increase or decrease**

__Difference or sum of numbers____Cumulative series__: In this type, the third number is the addition of previous two numbers.

**Example:**2, 4, 6, 10, 16, 26 ……

__Important Illustrations__**:**

__Problem 1__
1) 13

2) 23

3) 33

4) 43

5) 53

**: Check these numbers. Have you observed any logic? Every number from the above list has 10 numbers difference from it's previous numbers. Great, we find one... But that's not the logic. So check whether the numbers are prime or not. So, here... all the given numbers are prime, except the number 33 (it is a composite number). So Option 3 is the answer.**

__Solution__**:**

__Problem 2__
1) 176

2) 231

3) 572

4) 473

5) 653

**: Check the above numbers carefully. You can't find the correct answer by applying the first 2 steps. So here try to find out the logic... If you observe closely, you will find out that the middle number is the sum of the first and the last numbers. Check once....**

__Solution__
1) 176

2) 231

3) 572

4) 473

5) 653

But you are not getting middle number in 5th Option (As 6+3
= 9, not 5). So this is the correct answer.

**:**

__Problem 3__
1) 123

2) 246

3) 147

4) 368

5) 159

**: Here also we tried all the steps but no answer. Hey wait; have you tried the above logic?? Let's try**

__Solution__
1) 1+3 = 4 (but the
middle number is 2)

2) 2+6 = 8 (but the
middle number is 4)

3) 1+7 = 8 (but the
middle number is 4)

4) 3+8 = 11 (but
the middle number is 6)

5) 9+1 = 10 (but
the middle number is 5)

Not worked

Now see whether we can find anything with the newly obtained
numbers....

4, 8, 8, 11, 10.... No relation.. But you could find out
that one number except all are even numbers... So, may be this is our answer...

Or if you want to go further, you can get another logic...
Just divide these numbers with 2.

1) 4/2 = 2

2) 8/2 = 4

3) 8/2 = 4

4) 11/2 = 5.5

5) 10/2 = 5

So, here.. Except Option 4... For remaining numbers, the middle number is
the half of the total of remaining two numbers.

Note: If you can't get answer with above step, then you
should experiment with different numbers and different mathematical operations.

**:**

__Problem 4__
1) 29: 812

2) 37: 1332

3) 45: 1980

4) 48: 2256

5) 51: 2551

If they ask question in the above format, then it means,
there should be some relationship between the first and second number.

**:**

__Solution__
Note: If you can't find any visible difference, then better
to find out Squares.

1) 292 = 841 (but
given number is 812)

2) 372 = 1369 (but
the given number is 1332)

3) 452 = 2025 (but
the given number is 1980)

4) 482= 2304 (but
the given number is 2256)

5) 512 = 2601 (but
the given number is 2551)

So squares are not matching with the numbers. But if you
closely observe, you can see some similarities among these numbers. So, find
out the difference, so that we could find some clue

1) 841-812 = 29
(First Number)

2) 1369-1332 = 37
(First Number)

3) 2025-1980 = 45
(First Number)

4) 2304-2256 = 48
(First Number)

5) 2601-2551 = 510 (Not
the First Number)

So, Option 5 is the odd one.

**:**

__Problem 5__
1) 126

2) 72

3) 135

4) 171

5) 162

**: At first glance we are unable to find any clues. So, check the interrelationships among these numbers (if any).**

__Solution__
Note: People tend to mark Option 2 (72) as the answer
because it consist only two numbers where as in remaining options the numbers
are three. But please keep in mind that now a day they are not asking questions
with such a simple logic.

At a close observation, you can find that the total of the
given numbers is 9

1) 1+2+6 = 9

2) 7+2 = 9

3) 1+3+5 = 9

4) 1+7+1 = 9

5) 1+6+2 = 9

So, there might be something with this 9.

Let's subtract this 9 with the given number...

1) 126-9 = 117

2) 72-9 = 63

3) 135-9 = 126

4) 171-9 = 162

5) 162-9 = 153

You could find out some relation between option 4 and 5. But
it's not enough.... So let's try division

1) 126/9 = 14

2) 72/9 = 8

3) 135/9 = 15

4) 171/9 = 19

5) 162/9 = 18

From the above answers, you can clearly say that 19 (Option
4) is a Prime Number. Where remaining numbers are not.

**:**

__Problem 6__
1) 48-134

2) 65-185

3) 128-374

4) 56-158

5) 81-223

**Solution**: With a close observation you can see that the second number is almost nearer to the three times of the first number.

1) 40 x 3 = 120
(given number is 134)

2) 60 x 3 = 180
(given number is 185)

3) 120x 3 = 360
(given number is 374)

4) 50 x 3 = 150
(given number is 158)

5) 80x 3 = 240
(given number is 223)

So, there should be some logic behind it

Multiply first numbers with 3

1) 48x3 = 144
(difference between result and second number is 144-134 = 10)

2) 65x3 = 195
(195-185 = 10)

3) 128x3 = 384
(384-374 = 10)

4) 56x3 = 168
(168-158 = 10)

5) 81x3=243
(243-223= 20)

So, Option 5 is the answer.

**:**

__Problem 7__
1) 25-630

2) 36-1312

3) 16-260

4) 9-84

5) 49-2408

**:**

__Solution__
1) 252=625 (625+5 =
630)

2) 362=1296
(1296+16 = 1312)

3) 162 = 256 (256+4
= 260)

4) 92 = 81 (81+3 =
84)

5) 492 = 2401
(2401+7=2408)

So, here the odd one is Option 2

**: So guys, finally you can qualify in the odd man out and serious.**

__NOTE____Take a Look on Below Table__

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