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Question

A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example. ‘Q’ can be represented by 42, 77, etc., and ‘R’ can be represented by 04, 89, etc. Similarly, you have to identify the set for the word “RITE” .

Matrix-I

0

1

2

3

4

0

D

G

W

I

R

1

Y

M

B

T

S

2

L

P

Z

Y

D

3

F

E

J

T

N

4

U

I

Q

V

X

Matrix-II

5

6

7

8

9

5

B

E

T

A

N

6

K

M

I

C

S

7

U

E

Q

V

X

8

D

G

W

L

R

9

K

B

J

C

S

This question was previously asked in
SSC Stenographer 2017 Previous Year Paper (14-Sep-2017) (Shift 1)
The correct answer is

04, 03, 33, 31

Decoding Words Using Matrix Coding

This question asks us to find the set of numbers that represents the word "RITE" using the provided two matrices. Each letter is coded by first its row number and then its column number from the matrices.

Understanding the Matrix Coding Rules

The problem provides two matrices, Matrix-I and Matrix-II. Here's how they work:

  • Matrix-I: Rows and columns are numbered from 0 to 4.
  • Matrix-II: Rows and columns are numbered from 5 to 9.
  • A letter's code is formed by its row number followed by its column number.
  • For example, 'Q' can be represented by 42 (Matrix-I, Row 4, Column 2) or 77 (Matrix-II, Row 7, Column 7).

We need to find the code for the word "RITE". Let's break it down letter by letter.

Matrix-I (0-4)
0 1 2 3 4
0 D G W I R
1 Y M B T S
2 L P Z Y D
3 F E J T N
4 U I Q V X

Matrix-II (5-9)
  5 6 7 8 9
5 B E T A N
6 K M I C S
7 U E Q V X
8 D G W L R
9 K B J C S

Finding Codes for RITE

Let's find all possible codes for each letter in "RITE":

  • R:
    • Matrix-I: Row 0, Column 4 gives R → 04
    • Matrix-II: Row 8, Column 9 gives R → 89
    Possible codes for 'R': 04, 89
  • I:
    • Matrix-I: Row 0, Column 3 gives I → 03
    • Matrix-I: Row 1, Column 2 gives I → 12 (Mistake, 12 is B) - Recheck Matrix-I: Row 1, Column 2 is B. Row 4, Column 1 gives I → 41. Let's correct this.
    • Matrix-I: Row 0, Column 3 gives I → 03
    • Matrix-I: Row 4, Column 1 gives I → 41
    • Matrix-II: Row 6, Column 7 gives I → 67
    • Matrix-II: Row 9, Column 7 gives J → 97 (Mistake, 97 is J) - Recheck Matrix-II: Row 9, Column 7 is J. Let's correct this.
    • Matrix-I: Row 0, Column 3 gives I → 03
    • Matrix-I: Row 4, Column 1 gives I → 41
    • Matrix-II: Row 6, Column 7 gives I → 67
    Possible codes for 'I': 03, 41, 67
  • T:
    • Matrix-I: Row 1, Column 3 gives T → 13
    • Matrix-I: Row 3, Column 3 gives T → 33
    • Matrix-II: Row 5, Column 7 gives T → 57
    Possible codes for 'T': 13, 33, 57
  • E:
    • Matrix-I: Row 3, Column 1 gives E → 31
    • Matrix-II: Row 5, Column 6 gives E → 56 (Mistake, 56 is E) - Recheck Matrix-II: Row 5, Column 6 is E → 56. Row 7, Column 6 gives E → 76. Let's correct this.
    • Matrix-I: Row 3, Column 1 gives E → 31
    • Matrix-II: Row 5, Column 6 gives E → 56
    • Matrix-II: Row 7, Column 6 gives E → 76
    Possible codes for 'E': 31, 56, 76

Checking the Options for RITE

Now, let's examine each option to see if the sequence of codes matches the possible codes for R, I, T, and E in order.

  • Option 1: 04, 03, 33, 31
    • 04: Is this a code for R? Yes (Matrix-I, 0,4).
    • 03: Is this a code for I? Yes (Matrix-I, 0,3).
    • 33: Is this a code for T? Yes (Matrix-I, 3,3).
    • 31: Is this a code for E? Yes (Matrix-I, 3,1).
    All codes in this option are valid representations of the letters R, I, T, and E in sequence.
  • Option 2: 89, 41, 02, 04
    • 89: Is this a code for R? Yes (Matrix-II, 8,9).
    • 41: Is this a code for I? Yes (Matrix-I, 4,1).
    • 02: Is this a code for T? No, 02 represents 'W' (Matrix-I, 0,2).
    Option 2 is incorrect because the third code 02 does not represent 'T'.
  • Option 3: 67, 03, 86, 56
    • 67: Is this a code for R? No, 67 represents 'I' (Matrix-II, 6,7).
    Option 3 is incorrect because the first code 67 does not represent 'R'.
  • Option 4: 89, 67, 68, 76
    • 89: Is this a code for R? Yes (Matrix-II, 8,9).
    • 67: Is this a code for I? Yes (Matrix-II, 6,7).
    • 68: Is this a code for T? No, 68 represents 'S' (Matrix-II, 6,8).
    Option 4 is incorrect because the third code 68 does not represent 'T'.

Based on the analysis, only Option 1 contains a sequence of codes that correctly represents the word "RITE" according to the rules and the given matrices.

Revision Table: Word RITE Decoding

Letter Possible Codes (Row, Col) Valid Codes from Matrices
R (0,4), (8,9) 04, 89
I (0,3), (4,1), (6,7) 03, 41, 67
T (1,3), (3,3), (5,7) 13, 33, 57
E (3,1), (5,6), (7,6) 31, 56, 76

Additional Information on Matrix Coding Questions

Matrix coding is a common type of question in reasoning sections of competitive exams. Here are some tips for solving them efficiently:

  • Always note the row and column numbering for each matrix carefully (e.g., 0-4, 5-9, or 1-5, 6-10).
  • Confirm the order in which the code is formed (usually row then column, but always double-check the example).
  • For a word, find all possible codes for each individual letter first.
  • Then, check the given options one by one to see which sequence of codes matches the possible codes for the letters in the correct order.
  • Eliminate options as soon as you find a code that doesn't match the required letter at that position in the word.
  • Pay close attention to the matrices; misreading a letter at a specific coordinate is a common error.
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Similar Questions

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    Matrix - I

    0

    1

    2

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    4

    0

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    8

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    6

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  3. A word is represented by only one set of numbers as given in any one of the alternatives. The sets of number given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix – I are numbered from 0 to 4 and that of Matrix – II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column. For example ‘A’ can be represented by 24, 95 etc., and ‘M’ can be represented by 11, 66, etc. Similarly, you have to identify the set for the word “PART”

    Matrix – I

    0

    1

    2

    3

    4

    0

    P

    C

    W

    R

    I

    1

    A

    M

    O

    Q

    S

    2

    U

    X

    Y

    B

    A

    3

    E

    H

    J

    L

    N

    4

    A

    R

    T

    V

    U

    Matrix – II

    5

    6

    7

    8

    9

    5

    T

    K

    P

    F

    U

    6

    G

    M

    N

    H

    V

    7

    E

    O

    Y

    J

    T

    8

    C

    F

    W

    L

    R

    9

    A

    S

    U

    N

    X

  4. A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘A’ can be represented by 24, 95, etc., and ‘M’ can be represented by 11, 66, etc. similarly. You have to identify the set for the word “PARTY” .

    Matrix I

    0

    1

    2

    3

    4

    0

    P

    C

    W

    R

    I

    1

    A

    M

    O

    Q

    S

    2

    U

    X

    Y

    B

    A

    3

    E

    H

    J

    L

    N

    4

    A

    R

    T

    V

    U

    Matrix II

    5

    6

    7

    8

    9

    5

    T

    K

    P

    F

    U

    6

    G

    M

    N

    H

    V

    7

    E

    O

    Y

    J

    T

    8

    C

    F

    W

    L

    R

    9

    A

    S

    U

    N

    X

  5. A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘Y’ can be represented by 00, 22, etc., and ‘U’ can be represented by 42, 59, etc. Similarly, you have to identify the set for the word “PRANK” .

    Matrix-I

    0

    1

    2

    3

    4

    0

    Y

    I

    K

    W

    X

    1

    G

    J

    N

    H

    V

    2

    E

    O

    Y

    K

    T

    3

    M

    G

    W

    L

    R

    4

    A

    E

    U

    N

    K

    Matrix-II

    5

    6

    7

    8

    9

    5

    N

    I

    X

    P

    U

    6

    K

    V

    O

    T

    S

    7

    L

    P

    R

    A

    D

    8

    D

    H

    J

    L

    N

    9

    P

    J

    Q

    V

    X

  6. A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘J’ can be represented by 42, 87, etc., and ‘N’ can be represented by 04, 89, etc. Similarly, you have to identify the set for the word “EXACT” .                      

    Matrix-I

    0

    1

    2

    3

    4

    0

    A

    E

    T

    S

    N

    1

    L

    M

    I

    C

    I

    2

    U

    E

    S

    V

    X

    3

    D

    G

    W

    L

    R

    4

    O

    K

    J

    C

    Z

       Matrix-II

    5

    6

    7

    8

    9

    5

    Z

    G

    W

    I

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    6

    Y

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    D

    8

    F

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    Y

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  7. A word is represented by only one set of numbers as given in any one of the alternatives. The sets of number given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘I’ can be represented by 41, 87, etc., and ‘N’ can be represented by 04, 87, etc. Similarly, you have to identify the set for the word “TRACE” .

    Matrix I

    0

    1

    2

    3

    4

    0

    F

    E

    K

    O

    N

    1

    P

    M

    A

    C

    T

    2

    Z

    G

    W

    I

    Q

    3

    D

    F

    A

    L

    R

    4

    O

    I

    S

    P

    X

    Matrix II

    5

    6

    7

    8

    9

    5

    M

    E

    Z

    S

    T

    6

    Z

    K

    F

    C

    Z

    7

    L

    Q

    Z

    Y

    D

    8

    A

    E

    I

    R

    N

    9

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    Y

    I


Important Questions from Matrix

  1. A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘E’ can be represented by 32, 12 etc and ‘X’ can be represented by 87, 79 etc. Similarly, you have to identify the set for the word ‘MYTH’.

    Matrix-I

    Matrix-Ii

    0

    1

    2

    3

    4

    5

    6

    7

    8

    9

    0

    H

    C

    H

    E

    H

    5

    O

    P

    T

    V

    U

    1

    G

    B

    E

    J

    D

    6

    P

    Y

    V

    O

    Z

    2

    I

    M

    I

    H

    A

    7

    T

    S

    S

    V

    X

    3

    J

    B

    E

    D

    D

    8

    O

    O

    X

    Z

    V

    4

    F

    L

    C

    C

    M

    9

    R

    Z

    U

    U

    O

  2. A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., ‘M’ can be represented by 01, 14, etc., and ‘S’ can be represented by 58, 77 etc., and ‘S’ can be represented by 58, 77 etc. Similarly, you have to identify the set for the word ‘ROHAN’.

    Matrix I

    Matrix II

    0

    1

    2

    3

    4

    5

    6

    7

    8

    9

    0

    H

    M

    X

    W

    K

    5

    A

    D

    E

    S

    B

    1

    N

    R

    N

    Y

    M

    6

    T

    U

    O

    G

    O

    2

    K

    V

    H

    P

    W

    7

    O

    Q

    S

    D

    A

    3

    Y

    Z

    R

    M

    N

    8

    S

    E

    U

    E

    D

    4

    W

    V

    H

    J

    P

    9

    Q

    B

    A

    T

    O

  3. A word is represented by only one set of number as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered form 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘U’ can be represented by 30, 41 etc and ‘E’ can be represented by 85, 67 etc. Similarly, you have to identify the set for the word ‘SWORD’.

    Matrix I

    Matrix II

    0

    1

    2

    3

    4

    5

    6

    7

    8

    9

    0

    S

    S

    Z

    V

    R

    5

    J

    F

    M

    I

    E

    1

    R

    Z

    R

    R

    Z

    6

    M

    M

    E

    E

    M

    2

    P

    T

    O

    Y

    P

    7

    D

    G

    B

    L

    C

    3

    U

    P

    U

    U

    W

    8

    E

    C

    H

    H

    J

    4

    O

    U

    X

    Z

    X

    9

    C

    H

    K

    M

    K

  4. NEST

  5. FAITH

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