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Question

Direction: Study the two matrices given below. In each question identify the correct number combination for the given word.

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, ‘F’ can be represented by 31, 43 etc., and ‘N’ can be represented by 02, 21 etc.                                                                    

MATRIX I

0

1

2

3

4

 0

F

A

N

O

I

1

1

O

F

A

N

2

A

N

O

I

F

3

O

F

I

N

A

4

N

I

A

F

O

MATRIX II

5

6

7

8

9

5

S

E

H

B

T

6

H

S

E

T

B

7

B

T

S

E

H

8

E

H

T

B

S

9

T

S

E

H

B

FAITH

The correct answer is

31, 34, 23, 76, 79

Understanding Matrix Coding and Decoding Words

This problem involves decoding a word using two matrices, Matrix-I and Matrix-II. Each letter in the matrices is represented by a two-digit number. The first digit represents the row number, and the second digit represents the column number.

Matrix-I has rows and columns numbered from 0 to 4. Matrix-II has rows and columns numbered from 5 to 9.

Given Matrices

Let's look at the provided matrices:

Matrix-I
0 1 2 3 4
0 F A N O I
1 I O F A N
2 N A O I F
3 O F I N A
4 A N I A M

Matrix-II
5 6 7 8 9
5 S E H B T
6 H S E T B
7 B T S E H
8 E H T B S
9 T S E H B

Decoding the Word FAITH

We need to find the code for the word FAITH. We will check the given options to see which one correctly represents each letter of the word using the matrices.

Let's examine the second option: 31, 34, 23, 76, 79.

  • The first number is 31. This means Row 3, Column 1 in Matrix-I. In Matrix-I, Row 3, Column 1 is 'F'. This matches the first letter of FAITH.
  • The second number is 34. This means Row 3, Column 4 in Matrix-I. In Matrix-I, Row 3, Column 4 is 'A'. This matches the second letter of FAITH.
  • The third number is 23. This means Row 2, Column 3 in Matrix-I. In Matrix-I, Row 2, Column 3 is 'I'. This matches the third letter of FAITH.
  • The fourth number is 76. This means Row 7, Column 6 in Matrix-II. In Matrix-II, Row 7, Column 6 is 'T'. This matches the fourth letter of FAITH.
  • The fifth number is 79. This means Row 7, Column 9 in Matrix-II. In Matrix-II, Row 7, Column 9 is 'H'. This matches the fifth letter of FAITH.

Since all the numbers in the sequence 31, 34, 23, 76, 79 correctly represent the letters F, A, I, T, H respectively based on the given matrices, this is the correct combination for the word FAITH.

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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. FINE

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