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Welcome to our blog on Series, an essential topic in Logical Reasoning that plays a crucial role in all the SSC exams. Approximately 4 - 6 questions are certain to appear from this topic in the exam, making it imperative for you to grasp the concepts of Series thoroughly and practice a variety of questions.

In this blog, we will comprehensively cover all the theoretical concepts and logical aspects of this topic. Additionally, we have included previously asked questions from various SSC exams, to help you get a feel for what to expect. So, let's dive into the world of Series and boost your exam preparation.

<h2 id="content-id-0">What is Series in Logical Reasoning?</h2>

Series is a chapter in Logical Reasoning, where a continuous sequence of numbers, letters, or words are obtained by some particular previously defined rule. Applying that predefined rule, it is possible to find out the next term or missing term of the series.

<img loading="lazy" alt="series reasoning" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/series reasoning.webp" style="height:338px; width:600px">

Series is divided into five main types: 
1.  Letter Series 
2.  Repeated/Fill in the blanks Series 
3.  Number Series 
4.  Mix Series 
5.  Matrix or Figural Series

<h2 id="content-id-1">Letter Series</h2>

In letter series, the letters follow a definite order. The given series of letters can be in natural order or in reverse order or combination of both. The letters may be skipped or repeated or consecutive.

<img loading="lazy" alt="Series letter Series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/Series letter Series.webp" style="height:338px; width:600px">

Example: Which of the given options will complete the given series?

AYBZC, DWEXF, GUHVI, JSKTK,?

1.MQORN 

2.MQNRO  

3.NQMOR

4.QMONR

Solution: (2) MQNRO 
The pattern which follows here is: 
1st letter of each term: 
A (+3) = D (+3) = G (+3) = J (+3) = M 
2nd letter: 
Y (-2) = W (-2) = U (-2) = S (-2) = Q 
3rd letter: 
B (+3) = E (+3) = H (+3) = K (+3) = N 
We don’t need to find out further because by these three letters we got our answer. There is only one option that has MQNRO letters in the first three places.

<h2 id="content-id-2">Wrong Letter Series</h2>

In this type of series, the students are not required to find the letter or group of letters which will complete the given series but, they have to identify the letter or group of letters which is wrong or misfit in the given series.

Example: Which letter(s) is wrong or is misfit in the series?

XW, DC, CB, NM, PQ

1.NM  

2.CB  

3.PQ  

4. XW

Solution: (3) PQ 
Here except PQ each element is in reverse series. Therefore, PQ is wrong. It should be QP, not PQ.

<h2 id="content-id-3">Repeated Series or Fill in the Blanks Series</h2>

In this type of series, small groups of alphabets or numbers are used to make a set which is repeated. The candidate has to find the set of letters or numbers which will fit the blanks left in the given series in such a manner that one set of the series is further repeated in the same manner.

<img loading="lazy" alt="Series repeated Series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/Series repeated Series.webp" style="height:338px; width:600px">

Example: Which of the following groups of letters will com- plete the given series?

c_bbb_ _ abbbb_ abbb_

1.aabcb  

2.abccb  

3.abacb  

4.baebb

Solution: (2) abccb 
Here the series is cabbbb/cabbbb/cabbbb. Thus, the pattern ‘cabbbb’ is repeated.

<h2 id="content-id-4">Number Series</h2>

In this type of series, we have a set of given numbers in a series that are related to one another in a particular pattern or manner.

The relationship between the numbers may be: 
1.  Consecutive odd/even/prime numbers. 
2.  Squares/cubes of some numbers with/without variation of addition or subtraction of some number. 
3.  Sum/product/difference of preceding/succeeding numbers. 
4.  Addition/subtraction/multiplication/division by some number. 
And many more combinations of the relationships given above.

<img loading="lazy" alt="Series number Series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/Series number Series.webp" style="height:338px; width:600px">

Example: Complete the given series: 2, 14, 98, 686, …?

1.1976 

2.2548 

3.980  

4.4802

Solution: (4) 4802 
We can clearly identify the pattern of multiplication here. The numbers are multiplied by 7 to obtain the next numbers. 2 × 7 = 14 
14 × 7 = 98 
98 × 7 = 686 
686 × 7 = 4802

<h2 id="content-id-5">Wrong Number Series</h2>

In this topic, we have to identify the number which is wrongin the sequential pattern of that series or does not fit in it.

Example: In the given series find the number which is wrong.

121, 143, 165, 186, 209

1.143

2.165

3.186

4.209

Solution: (3) 186. 
It can be observed that each term in this series is obtained by adding number 22 to the preceding term. 
121 + 22 = 143 
143 + 22 = 165 
165 + 22 = 187 
So, 186 is wrong and must be replaced by 187.

<h2 id="content-id-6">Mixed Series</h2>

Mixed series comprises the combination of letters, numbers and symbols. In this type of series, the letters and numbers may have a common sequential pattern or may have separate sequential order.

<img loading="lazy" alt="Series mixed Series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/Series mixed Series.webp" style="height:338px; width:600px">

Example: What should come in the place of the question mark in the following letter - number combination?

F6, H8, J10, L12, ...?

1.N15

2.O14

3.N14

4.O13

Solution: (3) N14. 
Here, the letters are moving two steps forward with the number or we can also say that the number indicates the position of the letter in the alphabet series. 
F6 (+2) = H8 (+2) = J10 (+2) = L12 (+2) = N14

<h2 id="content-id-7">Matrix or Figural Series</h2>

Under this type of series, there are different figures in which some elements (numbers/letters) are given and one element is missing. Students have to find out the logic from one figure and that same logic in another figure to find the missing element.

<img loading="lazy" alt="Series figural1 Series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/Series figural1 Series.webp" style="height:338px; width:600px">

Missing Number Matrix consists of different types of Figures in it, but the most popular ones are mentioned below: 
1. Table Based 
2. Circle Based 
3. Triangle Based 
4. Miscellaneous (Pentagon, Hexagon, other, etc).

In such type of questions, numbers are written in different rows or columns of the table or given in different way in other figure and then in one cell “?” is given which means you need to find the number of this cell.

There are no limits of the logics and pattern which could be followed in this section, but the most important part is to find the inter relation between the given numbers.

The four basic operations used:

1.Addition

2.Subtraction

3.Multiplication

4.Division

The most common pattern or logic used: 
1. Square of two numbers and sum and subtraction of squares is third number. 
2. Addition or Subtraction of two numbers and resultant is third number. 
3. Multiplication between two numbers and resultant is third number. 
4. Addition or Subtraction or Multiplication between two numbers and then division by 2, 3 or etc. 
5. Cube of two numbers and sum or subtraction of cube is third number.

Let us learn to solve all kinds of Matrix and figural series by practicing some questions.

Example: Study the given pattern carefully and select the number from among the given options that can replace the question mark (?) in it.

<img loading="lazy" alt="series matrix series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/series matrix series.png" style="height:81px; width:95px">

1.58

2.67

3.76

4.82

Solution: (3) 76 
The logic used here is:  
Row 1: (11 × 4) - (2 × 8) = 44 - 16 = 28 
Row 2: (11 × 6) - (2 × 12) = 66 - 24 = 42 
Row 3: (11 × 8) - (2 × 6) = 88 - 12 = 76

<h2 id="content-id-8">Previous Year Questions of Series</h2>

Diretion (1 - 5): Which of the following letter clusters will replace the question mark (?) in the given series? 

Q:1 PK, GT, XC, OL,? [SSC CGL Tier 1 2022]

1.GT

2.HS

3.EV

4.FU

Q:2 ZFOE, PYUA, FRAW, VKES, ? [SSC CHSL Tier 1 2022]

1. KDIO

2.KCIO

3. LDIO

4. LCIO 

Direction (3 - 5): Which of the following numbers will replace the question mark (?) in the given series?

Q:3 382, 322, 272, 232, 202,? [SSC CGL Tier 1 2022]

1.168

2.150

3.182

4.132

Q:4 14, 14, 12, 36, 32, 160, ? [SSC CHSL Tier 1 2022]

1.150

2.166

3.154

4.145

Q:5 345, 356, 368, 381, 395,? [SSC CGL Tier 1 2022]

1.409

2.408

3.406

4.410

Direction (6 - 7): Select the set of the letters that when sequentially placed in the blanks of the given letter series will complete the series.

Q:6 _swws_wwws_swwww_sss [SSC CGL Tier 1 2020]

1.W, S, S, S

2.W, S, W, S

3.W, W, S, S

4.W, S, S, W

Q:7 A B Z _ P A B _ K P A B X K _ A B _ K P [SSC CGL Tier 1 2022]

1.A C B Z

2.A Y Z W

3.K Y P W

4.K C Z W

Direction (8 - 10): Study the given pattern carefully and select the number that can replace the question mark (?) in it.

Q:8 <img loading="lazy" alt="series matrix1 series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/series matrix1 series.png" style="height:58px; width:150px"> [SSC CGL Tier 1 2020]

1.10

2.14

3.12

4.8

Q:9  <img loading="lazy" alt="series matrix2 series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/series matrix2 series 14 sept.png" style="height:68px; width:114px"> [SSC CGL Tier 1 2020]

1.196

2.169

3.200

4.19

Q:10 <img loading="lazy" alt="series matrix3 series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/series matrix3 series 14 sept.png" style="height:83px; width:183px">  [SSC CGL Tier 1 2021]

1.25

2.18

3.13

4.22

<h2 id="content-id-9">Solutions of Series Previous Year Questions</h2>

Q:1 (4) The series follows this pattern: 
1. PK, XC,?: P + 8 = X, K - 8 = C, X + 8 = F, C - 8 = U 
2. GT, OL: G + 8 = O, T - 8 = L

Q:2 (3) Consider the first letters 
Z - 10 = P, P - 10 = F, F - 10 = V, V - 10 = L 
Consider the second letter, 
F - 7 = Y, Y - 7 = R, R - 7 = K, K - 7 = D 
Similarly, the third letter of each word is a vowel: O, U, A, E, so, the next vowel will be I.  
Again,  
E - 4 = A,A - 4 = W, W - 4 = S, S - 4 = O.

Q:3 (3) The series follows this pattern: 
382 - 60 = 322, 322 - 50 = 272, 272 - 40 = 232, 232 - 30 = 202, 202 - 20 = 182 

Q:4 (3) 14 × 1 = 14, 14 - 2 = 12, 12 × 3 = 36, 36 - 4 = 32, 32 × 5 = 160, 160 - 6 = 154

Q:5 (4) 345 + 11 = 356, 356 + 12 = 368, 368 + 13 = 381, 381+ 14 = 395, 395 + 15 = 410

Q:6 (1) The complete series is as follows: w / s / ww / ss / www / sss / wwww / ssss

Q:7 (3) The second, fourth, sixth, and eighth positions are KPA, KPA, KPA, and KP respectively. 
The first, third, fifth, and seventh positions start with B and are paired with Z, Y, X, and W respectively i.e. BZ, BY, BX, and BW. 
A B Z K P A B Y K P A B X K P A B W K P

Q:8 (3) The logic used here is: 
1st row: 10 × 4 = 40 + 18 = 58 
2nd row: 8 × 2 = 16 + 18 = 34 
3rd row: 6 × a + 18 = 90 
a = 12

Q:9 (4) In the first column: 72 + 4 = 49 + 4 = 53 
In the second column: 112 + 6 = 121 + 6 = 127 
In the third column: 142 + 3 = 196 + 3 = 199

Q:10 (3) Column 1: (14 + 11) × (14 - 11) = 25 × 3 = 75 
Column 2: (16 + 15) × (16 - 15) = 31 × 1 = 31

This article has provided you with valuable insights into the world of Series in logical reasoning. We sincerely hope that you have found this blog useful and that it has contributed to enhancing your understanding of this crucial topic. As you continue to gear up for your upcoming exam, we encourage you to share your thoughts, your performance in the previous year questions, and any doubts you may have in the comments section below.

Stay tuned, as KD Live promises to bring you more such informative blogs with comprehensive study material and a thorough analysis of previous year questions on all the topics of Logical Reasoning section. Best of luck with your exam preparations, and may you excel in your endeavors!

Welcome to our blog on Series, an essential topic in Logical Reasoning that plays a crucial role in all the SSC exams. Approximately 4 - 6 questions are certain to appear from this topic in the exam, making it imperative for you to grasp the concepts of Series thoroughly and practice a variety of questions.

In this blog, we will comprehensively cover all the theoretical concepts and logical aspects of this topic. Additionally, we have included previously asked questions from various SSC exams, to help you get a feel for what to expect. So, let&#39;s dive into the world of Seties and boost your exam preparation.

<h2>What is Series in Logical Reasoning?</h2>

Series is a chapter in Logical Reasoning, where a continuous sequence of numbers, letters, or words are obtained by some particular previously defined rule. Applying that predefined rule, it is possible to find out the next term or missing term of the series.

<img loading="lazy" alt="series reasoning" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/series reasoning.webp" style="height:338px; width:600px" />

Series is divided into five main types: 
1.&nbsp;&nbsp; &nbsp;Letter Series 
2.&nbsp;&nbsp; &nbsp;Repeated/Fill in the blanks Series 
3.&nbsp;&nbsp; &nbsp;Number Series 
4.&nbsp;&nbsp; &nbsp;Mix Series 
5.&nbsp;&nbsp; &nbsp;Matrix or Figural Series

<h2>Letter Series</h2>

In letter series, the letters follow a definite order. The given series of letters can be in natural order or in reverse order or combination of both. The letters may be skipped or repeated or consecutive.

<img loading="lazy" alt="Series letter Series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/Series letter Series.webp" style="height:338px; width:600px" />

Example: Which of the given options will complete the given series?

AYBZC, DWEXF, GUHVI, JSKTK,?

1.MQORN&nbsp;&nbsp;

2.MQNRO&nbsp;&nbsp; &nbsp;

3.NQMOR

4.QMONR

Solution: (2) MQNRO 
The pattern which follows here is: 
1st letter of each term: 
A (+3) = D (+3) = G (+3) = J (+3) = M 
2nd letter: 
Y (-2) = W (-2) = U (-2) = S (-2) = Q 
3rd letter: 
B (+3) = E (+3) = H (+3) = K (+3) = N 
We don&rsquo;t need to find out further because by these three letters we got our answer. There is only one option that has MQNRO letters in the first three places.

<h2>Wrong Letter Series</h2>

In this type of series, the students are not required to find the letter or group of letters which will complete the given series but, they have to identify the letter or group of letters which is wrong or misfit in the given series.

Example: Which letter(s) is wrong or is misfit in the series?

XW, DC, CB, NM, PQ

1.NM &nbsp; &nbsp; &nbsp;

2.CB &nbsp; &nbsp; &nbsp;

3.PQ &nbsp; &nbsp; &nbsp;

4. XW

Solution: (3) PQ 
Here except PQ each element is in reverse series. Therefore, PQ is wrong. It should be QP, not PQ.

<h2>Repeated Series or Fill in the Blanks Series</h2>

In this type of series, small groups of alphabets or numbers are used to make a set which is repeated. The candidate has to find the set of letters or numbers which will fit the blanks left in the given series in such a manner that one set of the series is further repeated in the same manner.

<img loading="lazy" alt="Series repeated Series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/Series repeated Series.webp" style="height:338px; width:600px" />

Example: Which of the following groups of letters will com- plete the given series?

c_bbb_ _ abbbb_ abbb_

1.aabcb &nbsp; &nbsp; &nbsp; &nbsp;

2.abccb&nbsp;&nbsp; &nbsp;

3.abacb &nbsp; &nbsp; &nbsp; &nbsp;

4.baebb

Solution: (2) abccb 
Here the series is cabbbb/cabbbb/cabbbb. Thus, the pattern &lsquo;cabbbb&rsquo; is repeated.

<h2>Number Series</h2>

In this type of series, we have a set of given numbers in a series that are related to one another in a particular pattern or manner.

The relationship between the numbers may be: 
1.&nbsp;&nbsp; &nbsp;Consecutive odd/even/prime numbers. 
2.&nbsp;&nbsp; &nbsp;Squares/cubes of some numbers with/without variation of addition or subtraction of some number. 
3.&nbsp;&nbsp; &nbsp;Sum/product/difference of preceding/succeeding numbers. 
4.&nbsp;&nbsp; &nbsp;Addition/subtraction/multiplication/division by some number. 
And many more combinations of the relationships given above.

<img loading="lazy" alt="Series number Series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/Series number Series.webp" style="height:338px; width:600px" />

Example: Complete the given series: 2, 14, 98, 686, &hellip;?

1.1976 &nbsp;

2.2548 &nbsp;

3.980&nbsp;&nbsp; &nbsp;

4.4802

Solution: (4) 4802 
We can clearly identify the pattern of multiplication here. The numbers are multiplied by 7 to obtain the next numbers. 2 &times; 7 = 14 
14 &times; 7 = 98 
98 &times; 7 = 686 
686 &times; 7 = 4802

<h2>Wrong Number Series</h2>

In this topic, we have to identify the number which is wrongin the sequential pattern of that series or does not fit in it.

Example: In the given series find the number which is wrong.

121, 143, 165, 186, 209

1.143

2.165

3.186

4.209

Solution: (3) 186. 
It can be observed that each term in this series is obtained by adding number 22 to the preceding term. 
121 + 22 = 143 
143 + 22 = 165 
165 + 22 = 187 
So, 186 is wrong and must be replaced by 187.

<h2>Mixed Series</h2>

Mixed series comprises the combination of letters, numbers and symbols. In this type of series, the letters and numbers may have a common sequential pattern or may have separate sequential order.

<img loading="lazy" alt="Series mixed Series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/Series mixed Series.webp" style="height:338px; width:600px" />

Example: What should come in the place of the question mark in the following letter - number combination?

F6, H8, J10, L12, ...?

1.N15

2.O14

3.N14

4.O13

Solution: (3) N14. 
Here, the letters are moving two steps forward with the number or we can also say that the number indicates the position of the letter in the alphabet series. 
F6 (+2) = H8 (+2) = J10 (+2) = L12 (+2) = N14

<h2>Matrix or Figural Series</h2>

Under this type of series, there are different figures in which some elements (numbers/letters) are given and one element is missing. Students have to find out the logic from one figure and that same logic in another figure to find the missing element.

<img loading="lazy" alt="Series figural1 Series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/Series figural1 Series.webp" style="height:338px; width:600px" />

Missing Number Matrix consists of different types of Figures in it, but the most popular ones are mentioned below: 
1. Table Based 
2. Circle Based 
3. Triangle Based 
4. Miscellaneous (Pentagon, Hexagon, other, etc).

In such type of questions, numbers are written in different rows or columns of the table or given in different way in other figure and then in one cell &ldquo;?&rdquo; is given which means you need to find&nbsp; the number of this cell.

There are no limits of the logics and pattern which could be followed in this section, but the most important part is to find the inter relation between the given numbers.

The four basic operations used:

1.Addition

2.Subtraction

3.Multiplication

4.Division

The most common pattern or logic used: 
1. Square of two numbers and sum and subtraction of squares is third number. 
2. Addition or Subtraction of two numbers and resultant is third number. 
3. Multiplication between two numbers and resultant is third number. 
4. Addition or Subtraction or Multiplication between two numbers and then division by 2, 3 or etc. 
5. Cube of two numbers and sum or subtraction of cube is third number.

Let us learn to solve all kinds of Matrix and figural series by practicing some questions.

Example: Study the given pattern carefully and select the number from among the given options that can replace the question mark (?) in it.

<img loading="lazy" alt="series matrix series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/series matrix series.png" style="height:81px; width:95px" />

1.58

2.67

3.76

4.82

Solution: (3) 76 
The logic used here is:&nbsp; 
Row 1: (11 &times; 4) - (2 &times; 8) = 44 - 16 = 28 
Row 2: (11 &times; 6) - (2 &times; 12) = 66 - 24 = 42 
Row 3: (11 &times; 8) - (2 &times; 6) = 88 - 12 = 76

<h2>Previous Year Questions of Series</h2>

Diretion (1 - 5): Which of the following letter clusters will replace the question mark (?) in the given series?&nbsp;

Q:1 PK, GT, XC, OL,? [SSC CGL Tier 1 2022]

1.GT

2.HS

3.EV

4.FU

Q:2 ZFOE, PYUA, FRAW, VKES, ? [SSC CHSL Tier 1 2022]

1. KDIO

2.KCIO

3. LDIO

4. LCIO&nbsp;

Direction (3 - 5): Which of the following numbers will replace the question mark (?) in the given series?

Q:3 382, 322, 272, 232, 202,? [SSC CGL Tier 1 2022]

1.168

2.150

3.182

4.132

Q:4 14, 14, 12, 36, 32, 160, ? [SSC CHSL Tier 1 2022]

1.150

2.166

3.154

4.145

Q:5 345, 356, 368, 381, 395,? [SSC CGL Tier 1 2022]

1.409

2.408

3.406

4.410

Direction (6 - 7): Select the set of the letters that when sequentially placed in the blanks of the given letter series will complete the series.

Q:6 _swws_wwws_swwww_sss [SSC CGL Tier 1 2020]

1.W, S, S, S

2.W, S, W, S

3.W, W, S, S

4.W, S, S, W

Q:7 A B Z _ P A B _ K P A B X K _ A B _ K P [SSC CGL Tier 1 2022]

1.A C B Z

2.A Y Z W

3.K Y P W

4.K C Z W

Direction (8 - 10): Study the given pattern carefully and select the number that can replace the question mark (?) in it.

Q:8&nbsp;&nbsp;<img loading="lazy" alt="series matrix1 series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/series matrix1 series.png" style="height:58px; width:150px" />&nbsp; &nbsp;[SSC CGL Tier 1 2020]

1.10

2.14

3.12

4.8

Q:9&nbsp;&nbsp; &nbsp;<img loading="lazy" alt="series matrix2 series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/series matrix2 series 14 sept.png" style="height:68px; width:114px" /> &nbsp; &nbsp; [SSC CGL Tier 1 2020]

1.196

2.169

3.200

4.19

Q:10&nbsp;<img loading="lazy" alt="series matrix3 series" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/series matrix3 series 14 sept.png" style="height:83px; width:183px" /> &nbsp; &nbsp;&nbsp; [SSC CGL Tier 1 2021]

1.25

2.18

3.13

4.22

<h2>Solutions&nbsp;of Series Previous Year Questions</h2>

Q:1 (4) The series follows this pattern: 
1. PK, XC,?: P + 8 = X, K - 8 = C, X + 8 = F, C - 8 = U 
2. GT, OL: G + 8 = O, T - 8 = L

Q:2 (3) Consider the first letters 
Z - 10 = P, P - 10 = F, F - 10 = V, V - 10 = L 
Consider the second letter, 
F - 7 = Y, Y - 7 = R, R - 7 = K, K - 7 = D 
Similarly, the third letter of each word is a vowel: O, U, A, E, so, the next vowel will be I.&nbsp; 
Again,&nbsp; 
E - 4 = A,A - 4 = W, W - 4 = S, S - 4 = O.

Q:3 (3) The series follows this pattern: 
382 - 60 = 322, 322 - 50 = 272, 272 - 40 = 232, 232 - 30 = 202, 202 - 20 = 182&nbsp;

Q:4 (3) 14 &times; 1 = 14, 14 - 2 = 12, 12 &times; 3 = 36, 36 - 4 = 32, 32 &times; 5 = 160, 160 - 6 = 154

Q:5 (4) 345 + 11 = 356, 356 + 12 = 368, 368 + 13 = 381, 381+ 14 = 395, 395 + 15 = 410

Q:6 (1) The complete series is as follows:&nbsp;w / s / ww / ss / www / sss / wwww / ssss

Q:7 (3) The second, fourth, sixth, and eighth positions are KPA, KPA, KPA, and KP respectively. 
The first, third, fifth, and seventh positions start with B and are paired with Z, Y, X, and W respectively i.e. BZ, BY, BX, and BW. 
A B Z K P A B Y K P A B X K P A B W K P

Q:8 (3) The logic used here is: 
1st row: 10 &times; 4 = 40 + 18 = 58 
2nd row: 8 &times; 2 = 16 + 18 = 34 
3rd row: 6 &times; a + 18 = 90 
a = 12

Q:9 (4) In the first column: 72&nbsp;+ 4 = 49 + 4 = 53 
In the second column: 112&nbsp;+ 6 = 121 + 6 = 127 
In the third column: 142&nbsp;+ 3 = 196 + 3 = 199

Q:10 (3) Column 1: (14 + 11) &times; (14 - 11) = 25 &times; 3 = 75 
Column 2: (16 + 15) &times; (16 - 15) = 31 &times; 1 = 31

This article has provided you with valuable insights into the world of Series in logical reasoning. We sincerely hope that you have found this blog useful and that it has contributed to enhancing your understanding of this crucial topic. As you continue to gear up for your upcoming exam, we encourage you to share your thoughts, your performance in the previous year questions, and any doubts you may have in the comments section below.

Stay tuned, as KD Live promises to bring you more such informative blogs with comprehensive study material and a thorough analysis of previous year questions on all the topics of Logical Reasoning section. Best of luck with your exam preparations, and may you excel in your endeavors!

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