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TYPE I

Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?
A.14                                                B. 15
C. 21                                               D.23
Answer & Explanation

Answer: Option B

Explanation:

In this alternating repetition series, the random number 21 is interpolated every other number
into an otherwise simple addition series that increases by 2, beginning with the number 9.

View AnswerWorkspaceReportDiscuss in Forum

7. Look at this series: 58, 52, 46, 40, 34, ... What number should come next?
   A.26                                            B. 28
   C. 30                                           D.32
   Answer & Explanation

  Answer: Option B

  Explanation:

  This is a simple subtraction series. Each number is 6 less than the previous number.

  View AnswerWorkspaceReportDiscuss in Forum

8. Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?
   A.7                                               B. 10
   C. 14                                             D.15
   Answer & Explanation

  Answer: Option D

  Explanation:

  This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to
  give 7; then 1 is added, and so on.

  View AnswerWorkspaceReportDiscuss in Forum

9. Look at this series: 8, 22, 8, 28, 8, ... What number should come next?
   A.9                                              B. 29
   C. 32                                            D.34
   Answer & Explanation

  Answer: Option D
Explanation:

  This is a simple addition series with a random number, 8, interpolated as every other
  number. In the series, 6 is added to each number except 8, to arrive at the next number.

  View AnswerWorkspaceReportDiscuss in Forum

10. Look at this series: 31, 29, 24, 22, 17, ... What number should come next?
    A.15                                            B. 14
    C. 13                                           D.12
    Answer & Explanation

   Answer: Option A

   Explanation:

   This is a simple alternating subtraction series, which subtracts 2, then 5.

   View AnswerWorkspace


Look at this series: 80, 10, 70, 15, 60, ... What number should come next?
A.20                                              B. 25
C. 30                                             D.50
Answer & Explanation

Answer: Option A

Explanation:

This is an alternating addition and subtraction series. In the first pattern, 10 is subtracted
from each number to arrive at the next. In the second, 5 is added to each number to arrive at
the next.

View AnswerWorkspaceReportDiscuss in Forum

17. Look at this series: 2, 6, 18, 54, ... What number should come next?
    A.108                                          B. 148
    C. 162                                         D.216
    Answer & Explanation

   Answer: Option C

   Explanation:

   This is a simple multiplication series. Each number is 3 times more than the previous
   number.

   View AnswerWorkspaceReportDiscuss in Forum
18. Look at this series: 5.2, 4.8, 4.4, 4, ... What number should come next?
    A.3                                              B. 3.3
    C. 3.5                                           D.3.6
    Answer & Explanation

    Answer: Option D

    Explanation:

    In this simple subtraction series, each number decreases by 0.4.

    View AnswerWorkspaceReportDiscuss in Forum

19. Look at this series: 1000, 200, 40, ... What number should come next?
    A.8                                            B. 10
    C. 15                                          D.20
    Answer & Explanation

    Answer: Option A

    Explanation:

    This is a simple division series. Each number is divided by 5.


TYPE II

28 25 5 21 18 5 14
A.11 5                                          B. 10 7
C. 11 8                                         D.5 10
E. 10 5
Answer & Explanation

Answer: Option A

Explanation:

This is an alternating subtraction series with the interpolation of a random number, 5, as
every third number. In the subtraction series, 3 is subtracted, then 4, then 3, and so on.

View AnswerWorkspaceReportDiscuss in Forum

2. 8 11 21 15 18 21 22
   A.25 18                                       B. 25 21
   C. 25 29                                      D.24 21
   E. 22 26
   Answer & Explanation

  Answer: Option B
Explanation:

  This is an alternating addition series, with a random number, 21, interpolated as every third
  number. The addition series alternates between adding 3 and adding 4. The number 21
  appears after each number arrived at by adding 3.

  View AnswerWorkspaceReportDiscuss in Forum

3. 9 16 23 30 37 44 51
   A.59 66                                       B. 56 62
   C. 58 66                                      D.58 65
   E. 54 61
   Answer & Explanation

  Answer: Option D

  Explanation:

  Here is a simple addition series, which begins with 9 and adds 7.

  View AnswerWorkspaceReportDiscuss in Forum

4. 2 8 14 20 26 32 38
   A.2 46                                        B. 44 50
   C. 42 48                                      D.40 42
   E. 32 26
   Answer & Explanation

  Answer: Option B

  Explanation:

  This is a simple addition series, which begins with 2 and adds 6.

  View AnswerWorkspaceReportDiscuss in Forum

5. 9 11 33 13 15 33 17
   A.19 33                                       B. 33 35
   C. 33 19                                      D.15 33
   E. 19 21
   Answer & Explanation

  Answer: Option A

  Explanation:

  In this alternating repetition series, a random number, 33, is interpolated every third
  number into a simple addition series, in which each number increases by 2.
9 12 11 14 13 16 15
A.14 13                                          B. 18 21
C. 14 17                                         D.12 13
E. 18 17
Answer & Explanation

Answer: Option E

Explanation:

This is a simple alternating addition and subtraction series. First, 3 is added, then 1 is
subtracted, then 3 is added, 1 subtracted, and so on.

View AnswerWorkspaceReportDiscuss in Forum

17. 4 8 22 12 16 22 20 24
    A.28 32                                        B. 28 22
    C. 22 28                                       D.32 36
    E. 22 26
    Answer & Explanation

   Answer: Option C

   Explanation:

   This is an alternating repetition series, with a random number, 22, interpolated as every
   third number into an otherwise simple addition series. In the addition series, 4 is added to
   each number to arrive at the next number.

   View AnswerWorkspaceReportDiscuss in Forum

18. 40 40 31 31 22 22 13
    A.13 4                                         B. 13 5
    C. 4 13                                        D.9 4
    E. 4 4
    Answer & Explanation

   Answer: Option A

   Explanation:

   This is a subtraction series with repetition. Each number repeats itself and then decreases
   by 9.

   View AnswerWorkspaceReportDiscuss in Forum

19. 1 10 7 20 13 30 19
    A.26 40                                        B. 29 36
    C. 40 25                                       D.25 31
    E. 40 50
Answer & Explanation

    Answer: Option C

    Explanation:

    Here, every other number follows a different pattern. In the first series, 6 is added to each
    number to arrive at the next. In the second series, 10 is added to each number to arrive at
    the next.

    View AnswerWorkspaceReportDiscuss in Forum

20. 10 20 25 35 40 50 55
    A.70 65                                       B. 60 70
    C. 60 75                                      D.60 65
    E. 65 70
    Answer & Explanation

    Answer: Option E

    Explanation:

    This is an alternating addition series, in which 10 is added, then 5, then 10, and so on.

    View AnswerWorkspaceReportDiscuss in Forum


< Prev1234




TYPE III

42 40 38 35 33 31 28
A.25 22                                          B. 26 23
C. 26 24                                         D.25 23
E. 26 22
Answer & Explanation

Answer: Option C

Explanation:

This is an alternating subtraction series in which 2 is subtracted twice, then 3 is subtracted
once, then 2 is subtracted twice, and so on.

View AnswerWorkspaceReportDiscuss in Forum

2. 6 10 14 18 22 26 30
A.36 40                                        B. 33 37
  C. 38 42                                       D.34 36
  E. 34 38
  Answer & Explanation

  Answer: Option E

  Explanation:

  This simple addition series adds 4 to each number to arrive at the next.

  View AnswerWorkspaceReportDiscuss in Forum

3. 8 12 9 13 10 14 11
   A.14 11                                       B. 15 12
   C. 8 15                                       D.15 19
   E. 8 5
   Answer & Explanation

  Answer: Option B

  Explanation:

  This is an alternating addition and subtraction series, in which the addition of 4 is
  alternated with the subtraction of 3.

  View AnswerWorkspaceReportDiscuss in Forum

4. 36 31 29 24 22 17 15
   A.13 11                                       B. 10 5
   C. 13 8                                       D.12 7
   E. 10 8
   Answer & Explanation

  Answer: Option E

  Explanation:

  This is an alternating subtraction series, which subtracts 5, then 2, then 5, and so on.

  View AnswerWorkspaceReportDiscuss in Forum

5. 3 5 35 10 12 35 17
   A.22 35                                       B. 35 19
   C. 19 35                                      D.19 24
   E. 22 24
   Answer & Explanation

  Answer: Option C
Explanation:

  This is an alternating addition series, with a random number, 35, interpolated as every third
  number. The pattern of addition is to add 2, add 5, add 2, and so on. The number 35 comes
  after each "add 2" step/


2 44 4 41 6 38 8
A.10 12                                         B. 35 32
C. 34 9                                         D.35 10
E. 10 52
Answer & Explanation

Answer: Option D

Explanation:

Here, there are two alternating patterns, one addition and one subtraction. The first starts
with 2 and increases by 2; the second starts with 44 and decreases by 3.

View AnswerWorkspaceReportDiscuss in Forum

17. 17 32 19 29 21 26 23
    A.25 25                                       B. 20 22
    C. 23 25                                      D.25 22
    E. 27 32
    Answer & Explanation

   Answer: Option C

   Explanation:

   Here, there are two alternating patterns. The first begins with 17 and adds 2; the second
   begins with 32 and subtracts 3.

   View AnswerWorkspaceReportDiscuss in Forum

18. 17 14 14 11 11 8 8
    A.8 5                                         B. 5 2
    C. 8 2                                        D.5 5
    E. 5 8
    Answer & Explanation

   Answer: Option D

   Explanation:

   In this simple subtraction with repetition series, each number is repeated, then 3 is
   subtracted to give the next number, which is then repeated, and so on.
View AnswerWorkspaceReportDiscuss in Forum

19. 10 34 12 31 14 28 16
    A.25 18                                       B. 30 13
    C. 19 26                                      D.18 20
    E. 25 22
    Answer & Explanation

   Answer: Option A

   Explanation:

   Two patterns alternate here. The first pattern begins with 10 and adds 2 to each number to
   arrive at the next; the alternating pattern begins with 34 and subtracts 3 each time.

   View AnswerWorkspaceReportDiscuss in Forum

20. 11 14 14 17 17 20 20
    A.23 23                                       B. 23 26
    C. 21 24                                      D.24 24
    E. 24 27
    Answer & Explanation

   Answer: Option A

   Explanation:

   This is a simple addition series with repetition. It adds 3 to each number to arrive at the
   next, which is repeated before 3 is added again.




LETTER

SCD, TEF, UGH, ____, WKL
A.CMN                                           B. UJI
C. VIJ                                          D.IJT
Answer & Explanation

Answer: Option C

Explanation:

There are two alphabetical series here. The first series is with the first letters only: STUVW.
The second series involves the remaining letters: CD, EF, GH, IJ, KL.

View AnswerWorkspaceReportDiscuss in Forum

2. B2CD, _____, BCD4, B5CD, BC6D
A.B2C2D                                         B. BC3D
  C. B2C3D                                        D.BCD7
  Answer & Explanation

  Answer: Option B

  Explanation:

  Because the letters are the same, concentrate on the number series, which is a simple 2, 3,
  4, 5, 6 series, and follows each letter in order.

  View AnswerWorkspaceReportDiscuss in Forum

3. FAG, GAF, HAI, IAH, ____
   A.JAK                                          B. HAL
   C. HAK                                         D.JAI
   Answer & Explanation

  Answer: Option A

  Explanation:

  The middle letters are static, so concentrate on the first and third letters. The series
  involves an alphabetical order with a reversal of the letters. The first letters are in
  alphabetical order: F, G, H, I , J. The second and fourth segments are reversals of the first
  and third segments. The missing segment begins with a new letter.

  View AnswerWorkspaceReportDiscuss in Forum

4. ELFA, GLHA, ILJA, _____, MLNA
   A.OLPA                                         B. KLMA
   C. LLMA                                        D.KLLA
   Answer & Explanation

  Answer: Option D

  Explanation:

  The second and forth letters in the series, L and A, are static. The first and third letters
  consist of an alphabetical order beginning with the letter E.

  View AnswerWorkspaceReportDiscuss in Forum

5. CMM, EOO, GQQ, _____, KUU
   A.GRR                                          B. GSS
   C. ISS                                         D.ITT
   Answer & Explanation

  Answer: Option C
Explanation:

  The first letters are in alphabetical order with a letter skipped in between each segment: C,
  E, G, I, K. The second and third letters are repeated; they are also in order with a skipped
  letter: M, O, Q, S, U.




SYLLOGISM

The questions which are asked in this section contain two or more statements and these
statements are followed by two or more conclusions. You have to find out which of the
conclusions logically follow from the given statements. The statements have to be taken true
even if they seem to be at variance from the commonly known facts.

For such questions, you can take the help of Venn Diagrams. On the basis of the given
statements, you should draw all the possible diagrams, and then derive the solution from each
of these diagrams separately. Finally, the answer common to the all the diagrams is taken.

Example 1:

Statements:

   1. All dogs are asses.
   2. All asses are bulls.

Conclusions:

   1.   Some dogs are not bulls.
   2.   Some bulls are dogs.
   3.   All bulls are dogs.
   4.   All dogs are bulls.

Solution:

On the basis of both statements, the following one diagram is possible.




From the diagram it is clear that (2) and (4) conclusions logically follow.
Example 2:

Statements:

   1. Some dogs are asses.
   2. Some asses are bulls.

Conclusions:

   1. Some asses are not dogs.
   2. Some dogs are bulls.

Solution:

From these given statements the following diagrams are possible:




From the diagram neither (1) nor (2) conclusions follow.

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Reasoning

  • 1. TYPE I Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next? A.14 B. 15 C. 21 D.23 Answer & Explanation Answer: Option B Explanation: In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9. View AnswerWorkspaceReportDiscuss in Forum 7. Look at this series: 58, 52, 46, 40, 34, ... What number should come next? A.26 B. 28 C. 30 D.32 Answer & Explanation Answer: Option B Explanation: This is a simple subtraction series. Each number is 6 less than the previous number. View AnswerWorkspaceReportDiscuss in Forum 8. Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next? A.7 B. 10 C. 14 D.15 Answer & Explanation Answer: Option D Explanation: This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to give 7; then 1 is added, and so on. View AnswerWorkspaceReportDiscuss in Forum 9. Look at this series: 8, 22, 8, 28, 8, ... What number should come next? A.9 B. 29 C. 32 D.34 Answer & Explanation Answer: Option D
  • 2. Explanation: This is a simple addition series with a random number, 8, interpolated as every other number. In the series, 6 is added to each number except 8, to arrive at the next number. View AnswerWorkspaceReportDiscuss in Forum 10. Look at this series: 31, 29, 24, 22, 17, ... What number should come next? A.15 B. 14 C. 13 D.12 Answer & Explanation Answer: Option A Explanation: This is a simple alternating subtraction series, which subtracts 2, then 5. View AnswerWorkspace Look at this series: 80, 10, 70, 15, 60, ... What number should come next? A.20 B. 25 C. 30 D.50 Answer & Explanation Answer: Option A Explanation: This is an alternating addition and subtraction series. In the first pattern, 10 is subtracted from each number to arrive at the next. In the second, 5 is added to each number to arrive at the next. View AnswerWorkspaceReportDiscuss in Forum 17. Look at this series: 2, 6, 18, 54, ... What number should come next? A.108 B. 148 C. 162 D.216 Answer & Explanation Answer: Option C Explanation: This is a simple multiplication series. Each number is 3 times more than the previous number. View AnswerWorkspaceReportDiscuss in Forum
  • 3. 18. Look at this series: 5.2, 4.8, 4.4, 4, ... What number should come next? A.3 B. 3.3 C. 3.5 D.3.6 Answer & Explanation Answer: Option D Explanation: In this simple subtraction series, each number decreases by 0.4. View AnswerWorkspaceReportDiscuss in Forum 19. Look at this series: 1000, 200, 40, ... What number should come next? A.8 B. 10 C. 15 D.20 Answer & Explanation Answer: Option A Explanation: This is a simple division series. Each number is divided by 5. TYPE II 28 25 5 21 18 5 14 A.11 5 B. 10 7 C. 11 8 D.5 10 E. 10 5 Answer & Explanation Answer: Option A Explanation: This is an alternating subtraction series with the interpolation of a random number, 5, as every third number. In the subtraction series, 3 is subtracted, then 4, then 3, and so on. View AnswerWorkspaceReportDiscuss in Forum 2. 8 11 21 15 18 21 22 A.25 18 B. 25 21 C. 25 29 D.24 21 E. 22 26 Answer & Explanation Answer: Option B
  • 4. Explanation: This is an alternating addition series, with a random number, 21, interpolated as every third number. The addition series alternates between adding 3 and adding 4. The number 21 appears after each number arrived at by adding 3. View AnswerWorkspaceReportDiscuss in Forum 3. 9 16 23 30 37 44 51 A.59 66 B. 56 62 C. 58 66 D.58 65 E. 54 61 Answer & Explanation Answer: Option D Explanation: Here is a simple addition series, which begins with 9 and adds 7. View AnswerWorkspaceReportDiscuss in Forum 4. 2 8 14 20 26 32 38 A.2 46 B. 44 50 C. 42 48 D.40 42 E. 32 26 Answer & Explanation Answer: Option B Explanation: This is a simple addition series, which begins with 2 and adds 6. View AnswerWorkspaceReportDiscuss in Forum 5. 9 11 33 13 15 33 17 A.19 33 B. 33 35 C. 33 19 D.15 33 E. 19 21 Answer & Explanation Answer: Option A Explanation: In this alternating repetition series, a random number, 33, is interpolated every third number into a simple addition series, in which each number increases by 2.
  • 5. 9 12 11 14 13 16 15 A.14 13 B. 18 21 C. 14 17 D.12 13 E. 18 17 Answer & Explanation Answer: Option E Explanation: This is a simple alternating addition and subtraction series. First, 3 is added, then 1 is subtracted, then 3 is added, 1 subtracted, and so on. View AnswerWorkspaceReportDiscuss in Forum 17. 4 8 22 12 16 22 20 24 A.28 32 B. 28 22 C. 22 28 D.32 36 E. 22 26 Answer & Explanation Answer: Option C Explanation: This is an alternating repetition series, with a random number, 22, interpolated as every third number into an otherwise simple addition series. In the addition series, 4 is added to each number to arrive at the next number. View AnswerWorkspaceReportDiscuss in Forum 18. 40 40 31 31 22 22 13 A.13 4 B. 13 5 C. 4 13 D.9 4 E. 4 4 Answer & Explanation Answer: Option A Explanation: This is a subtraction series with repetition. Each number repeats itself and then decreases by 9. View AnswerWorkspaceReportDiscuss in Forum 19. 1 10 7 20 13 30 19 A.26 40 B. 29 36 C. 40 25 D.25 31 E. 40 50
  • 6. Answer & Explanation Answer: Option C Explanation: Here, every other number follows a different pattern. In the first series, 6 is added to each number to arrive at the next. In the second series, 10 is added to each number to arrive at the next. View AnswerWorkspaceReportDiscuss in Forum 20. 10 20 25 35 40 50 55 A.70 65 B. 60 70 C. 60 75 D.60 65 E. 65 70 Answer & Explanation Answer: Option E Explanation: This is an alternating addition series, in which 10 is added, then 5, then 10, and so on. View AnswerWorkspaceReportDiscuss in Forum < Prev1234 TYPE III 42 40 38 35 33 31 28 A.25 22 B. 26 23 C. 26 24 D.25 23 E. 26 22 Answer & Explanation Answer: Option C Explanation: This is an alternating subtraction series in which 2 is subtracted twice, then 3 is subtracted once, then 2 is subtracted twice, and so on. View AnswerWorkspaceReportDiscuss in Forum 2. 6 10 14 18 22 26 30
  • 7. A.36 40 B. 33 37 C. 38 42 D.34 36 E. 34 38 Answer & Explanation Answer: Option E Explanation: This simple addition series adds 4 to each number to arrive at the next. View AnswerWorkspaceReportDiscuss in Forum 3. 8 12 9 13 10 14 11 A.14 11 B. 15 12 C. 8 15 D.15 19 E. 8 5 Answer & Explanation Answer: Option B Explanation: This is an alternating addition and subtraction series, in which the addition of 4 is alternated with the subtraction of 3. View AnswerWorkspaceReportDiscuss in Forum 4. 36 31 29 24 22 17 15 A.13 11 B. 10 5 C. 13 8 D.12 7 E. 10 8 Answer & Explanation Answer: Option E Explanation: This is an alternating subtraction series, which subtracts 5, then 2, then 5, and so on. View AnswerWorkspaceReportDiscuss in Forum 5. 3 5 35 10 12 35 17 A.22 35 B. 35 19 C. 19 35 D.19 24 E. 22 24 Answer & Explanation Answer: Option C
  • 8. Explanation: This is an alternating addition series, with a random number, 35, interpolated as every third number. The pattern of addition is to add 2, add 5, add 2, and so on. The number 35 comes after each "add 2" step/ 2 44 4 41 6 38 8 A.10 12 B. 35 32 C. 34 9 D.35 10 E. 10 52 Answer & Explanation Answer: Option D Explanation: Here, there are two alternating patterns, one addition and one subtraction. The first starts with 2 and increases by 2; the second starts with 44 and decreases by 3. View AnswerWorkspaceReportDiscuss in Forum 17. 17 32 19 29 21 26 23 A.25 25 B. 20 22 C. 23 25 D.25 22 E. 27 32 Answer & Explanation Answer: Option C Explanation: Here, there are two alternating patterns. The first begins with 17 and adds 2; the second begins with 32 and subtracts 3. View AnswerWorkspaceReportDiscuss in Forum 18. 17 14 14 11 11 8 8 A.8 5 B. 5 2 C. 8 2 D.5 5 E. 5 8 Answer & Explanation Answer: Option D Explanation: In this simple subtraction with repetition series, each number is repeated, then 3 is subtracted to give the next number, which is then repeated, and so on.
  • 9. View AnswerWorkspaceReportDiscuss in Forum 19. 10 34 12 31 14 28 16 A.25 18 B. 30 13 C. 19 26 D.18 20 E. 25 22 Answer & Explanation Answer: Option A Explanation: Two patterns alternate here. The first pattern begins with 10 and adds 2 to each number to arrive at the next; the alternating pattern begins with 34 and subtracts 3 each time. View AnswerWorkspaceReportDiscuss in Forum 20. 11 14 14 17 17 20 20 A.23 23 B. 23 26 C. 21 24 D.24 24 E. 24 27 Answer & Explanation Answer: Option A Explanation: This is a simple addition series with repetition. It adds 3 to each number to arrive at the next, which is repeated before 3 is added again. LETTER SCD, TEF, UGH, ____, WKL A.CMN B. UJI C. VIJ D.IJT Answer & Explanation Answer: Option C Explanation: There are two alphabetical series here. The first series is with the first letters only: STUVW. The second series involves the remaining letters: CD, EF, GH, IJ, KL. View AnswerWorkspaceReportDiscuss in Forum 2. B2CD, _____, BCD4, B5CD, BC6D
  • 10. A.B2C2D B. BC3D C. B2C3D D.BCD7 Answer & Explanation Answer: Option B Explanation: Because the letters are the same, concentrate on the number series, which is a simple 2, 3, 4, 5, 6 series, and follows each letter in order. View AnswerWorkspaceReportDiscuss in Forum 3. FAG, GAF, HAI, IAH, ____ A.JAK B. HAL C. HAK D.JAI Answer & Explanation Answer: Option A Explanation: The middle letters are static, so concentrate on the first and third letters. The series involves an alphabetical order with a reversal of the letters. The first letters are in alphabetical order: F, G, H, I , J. The second and fourth segments are reversals of the first and third segments. The missing segment begins with a new letter. View AnswerWorkspaceReportDiscuss in Forum 4. ELFA, GLHA, ILJA, _____, MLNA A.OLPA B. KLMA C. LLMA D.KLLA Answer & Explanation Answer: Option D Explanation: The second and forth letters in the series, L and A, are static. The first and third letters consist of an alphabetical order beginning with the letter E. View AnswerWorkspaceReportDiscuss in Forum 5. CMM, EOO, GQQ, _____, KUU A.GRR B. GSS C. ISS D.ITT Answer & Explanation Answer: Option C
  • 11. Explanation: The first letters are in alphabetical order with a letter skipped in between each segment: C, E, G, I, K. The second and third letters are repeated; they are also in order with a skipped letter: M, O, Q, S, U. SYLLOGISM The questions which are asked in this section contain two or more statements and these statements are followed by two or more conclusions. You have to find out which of the conclusions logically follow from the given statements. The statements have to be taken true even if they seem to be at variance from the commonly known facts. For such questions, you can take the help of Venn Diagrams. On the basis of the given statements, you should draw all the possible diagrams, and then derive the solution from each of these diagrams separately. Finally, the answer common to the all the diagrams is taken. Example 1: Statements: 1. All dogs are asses. 2. All asses are bulls. Conclusions: 1. Some dogs are not bulls. 2. Some bulls are dogs. 3. All bulls are dogs. 4. All dogs are bulls. Solution: On the basis of both statements, the following one diagram is possible. From the diagram it is clear that (2) and (4) conclusions logically follow.
  • 12. Example 2: Statements: 1. Some dogs are asses. 2. Some asses are bulls. Conclusions: 1. Some asses are not dogs. 2. Some dogs are bulls. Solution: From these given statements the following diagrams are possible: From the diagram neither (1) nor (2) conclusions follow.