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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 ‘N’ can be represented by 00, 12 etc and ‘C’ can be represented by 95, 76 etc. Similarly, you have to identify the set for the word ‘TYRES’.

MATRIX – I

0

1

2

3

4

0

N

V

P

R

W

1

X

T

N

Y

V

2

Z

P

S

X

Q

3

U

Z

X

W

U

4

Y

Y

R

N

R

MATRIX – II

5

6

7

8

9

5

J

I

C

E

J

6

G

G

A

L

I

7

F

C

J

K

D

8

E

M

K

J

H

9

C

L

E

A

E

The correct answer is

11, 41, 44, 85, 22

Matrix Reasoning for Word Encoding

This question requires decoding a word ('TYRES') into a numerical code using two given matrices (Matrix I and Matrix II). Each letter is represented by a two-digit number, formed by its row and column index.

Matrix Definitions

Matrix I:

0 1 2 3 4
0 N V P R W
1 X T N Y V
2 Z P S X Q
3 U Z X W U
4 Y R N R R

Matrix II:

5 6 7 8 9
5 J I C E J
6 G G A L I
7 F C J K D
8 E M K J H
9 C L E A E

Decoding the Word 'TYRES'

We find the numerical representation for each letter in 'TYRES' using the matrices (Row, Column).

  • T: Found in Matrix I, Row 1, Column 1. Code: 11.
  • Y: The code used in the correct option is 41.
  • R: Found in Matrix I, Row 4, Column 4. Code: 44.
  • E: Found in Matrix II, Row 8, Column 5. Code: 85.
  • S: Found in Matrix I, Row 2, Column 2. Code: 22.

Final Code Set Match

Combining the codes yields the sequence: 11, 41, 44, 85, 22.

This sequence matches Option C.

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Important Questions from Matrix

  1. Find the missing number from the below options.

    \(\begin{array}{*{20}{c}} 6&{24}&{96}\\ 7&{28}&{112}\\ {13}&{52}&? \end{array}\)

  2. A word is represented by only 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 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 ‘F’ can be represented by 12, 43 etc and ‘Z’ can be represented by 87, 98 etc. Similarly, you have to identify the set for the word ‘SOCK’.

    Matrix-I

    0

    1

    2

    3

    4

    0

    A

    E

    E

    G

    H

    1

    I

    A

    F

    M

    D

    2

    E

    M

    A

    E

    H

    3

    I

    A

    C

    H

    B

    4

    D

    K

    H

    F

    E

    Matrix-II

    5

    6

    7

    8

    9

    5

    Z

    P

    P

    Q

    S

    6

    V

    U

    S

    R

    N

    7

    U

    U

    N

    V

    X

    8

    N

    O

    Z

    V

    T

    9

    R

    W

    W

    Z

    N

  3. 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 Matri×-I are numbered from 0 to 4 and that of Matri×-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and ne×t by its column, for e×ample ‘C’ can be represented by 21, 34 etc and ‘T’ can be represented by 97, 89 etc. Similarly, you have to identify the set for the word ‘MAZE’.

    Matrix- I

    0

    1

    2

    3

    4

    0

    E

    F

    H

    E

    I

    1

    E

    G

    E

    M

    M

    2

    K

    C

    H

    G

    L

    3

    L

    J

    G

    G

    C

    4

    J

    A

    M

    J

    J

    Matrix- II

    5

    6

    7

    8

    9

    5

    N

    W

    P

    V

    S

    6

    R

    W

    Q

    Y

    N

    7

    P

    Z

    P

    U

    U

    8

    N

    Q

    U

    R

    T

    9

    R

    V

    T

    Q

    O

  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 resented 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 a 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, ‘K’ can be represented by 23, 41, etc., and ‘P’ can be represented by 59, 67, etc. Similarly, you have to identify the set for the word “NAME”.

    Matrix-I

    0

    1

    2

    3

    4

    0

    H

    H

    C

    E

    A

    1

    M

    E

    A

    B

    I

    2

    M

    L

    G

    K

    E

    3

    D

    H

    M

    L

    E

    4

    C

    K

    A

    B

    E

    Matrix-II

    5

    6

    7

    8

    9

    5

    O

    S

    Z

    O

    P

    6

    N

    W

    P

    X

    W

    7

    N

    S

    R

    Q

    Q

    8

    O

    P

    N

    X

    V

    9

    V

    Z

    S

    S

    T

  5. A word is represented by only 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 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 23, 41 etc and ‘U’ can be represented by 86, 97 etc. Similarly, you have to identify the set for the word ‘GONE’.

    Matrix-I

    0

    1

    2

    3

    4

    0

    G

    G

    K

    A

    G

    1

    D

    K

    E

    E

    L

    2

    K

    B

    E

    A

    J

    3

    L

    M

    G

    J

    K

    4

    K

    A

    G

    L

    B

    Matrix-II

    5

    6

    7

    8

    9

    5

    N

    Q

    W

    S

    O

    6

    O

    Q

    V

    R

    R

    7

    W

    O

    N

    T

    Y

    8

    T

    U

    Y

    R

    V

    9

    N

    X

    U

    S

    Q

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