In this question, the sets of numbers given in the alternatives are represented. 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., S can be represented by 02, 11, etc., and 'L' can be represented by 65, 86, etc. Similarly you have to identify the set for the word 'G A T E'

All the possible representations of letters -
A ? 15, 22, 34, 41, 53
C ? 12, 24, 31, 43, 55
E ? 14, 21, 33, 45, 52
M ? 11, 23, 35, 42, 54
O ? 13, 25, 32, 44, 51
H ? 56, 69, 77, 85, 98
R ? 57, 65, 78, 86, 99
U ? 55, 68, 76, 89, 97
From given matrix it is clear that all the values for word CURE are matched in only option ( 3 ) for every letter . So , the set for the word CURE will be 12, 68, 86, 14 .From matrix , option ( 3 ) is correct answer.

From above given matrices I and II , we can see that
A ? 15, 22, 34, 41, 53
C ? 12, 24, 31, 43, 55
E ? 14, 21, 33, 45, 52
M ? 11, 23, 35, 42, 54
O ? 13, 25, 32, 44, 51
H ? 56, 69, 77, 85, 98
R ? 57, 65, 78, 86, 99
U ? 55, 68, 76, 89, 97
As shown in given figure , all the values for word CHAR are matched in only option ( 2 ) for every letter . So , the set for the word CHAR will be 31, 77, 15, 78 .From matrix , option ( 2 ) is correct .

From above given matrices I and II , we can see that
A ? 15, 22, 34, 41, 53
C ? 12, 24, 31, 43, 55
E ? 14, 21, 33, 45, 52
M ? 11, 23, 35, 42, 54
O ? 13, 25, 32, 44, 51
H ? 56, 69, 77, 85, 98
R ? 57, 65, 78, 86, 99
U ? 55, 68, 76, 89, 97
As shown in the given matrix ,we can see that all the values for word MORE are matched in only option ( 1 ) for every letter . So , the set for the word MORE will be 23, 44 57, 45 .From matrix , option ( 1 ) is required answer.

From above given matrices I and II , we get different values for word MUCH -
A ? 15, 22, 34, 41, 53
C ? 12, 24, 31, 43, 55
E ? 14, 21, 33, 45, 52
M ? 11, 23, 35, 42, 54
O ? 13, 25, 32, 44, 51
H ? 56, 69, 77, 85, 98
R ? 57, 65, 78, 86, 99
U ? 55, 68, 76, 89, 97
From given matrix it is clear that all the values for word MUCH are matched in only option ( 4 ) for every letter . So , the set for the word MUCH will be 35, 76, 24, 85 .From matrix , option ( 4 ) is correct answer.

From above given matrices I and II , we get different values for word SHIP -
S ? 04, 31, 89
H ? 12, 56, 77
I ? 43, 76, 88
P ? 10, 44, 99
From given matrix it is clear that all the values for word SHIP are matched in only option ( 1 ) for every letter . So , the set for the word SHIP will be 31, 56, 43, 10 .From matrix , option ( 1 ) is required answer.

From above given matrices I and II , we get different values for word LIKE -
L ? 57, 69, 76, 85, 98
I ? 58, 65, 77, 86, 99
K ? 56, 68, 75, 89, 97
E ? 02, 14, 21, 30, 43
As shown in given figure , all the values for word LIKE are not matched in any option for all letters . So , the set for the word LIKE has not correct option .

All the possible representations of letters:
Matrix - I
F ? 00, 12, 24, 31, 43
O ? 01, 13, 20, 32, 44
M ? 02, 14, 21, 33, 40
S ? 03, 10, 22, 34, 41
R ? 04, 11, 23, 30, 42
Matrix -II
A ? 55, 67, 79, 86, 98
T ? 56, 68, 75, 87, 99
D ? 57, 69, 76, 88, 95
I ? 58, 65, 77, 89, 96
P ? 59, 66, 78, 85, 97
As shown in given figure , all the values for word FOAM are matched in only option ( 4 ) for every letter . So , the set for the word FOAM will be 00, 01, 67, 33 .From matrix , option ( 4 ) is correct .

All the possible representations of letters:
Matrix - I
F ? 00, 12, 24, 31, 43
O ? 01, 13, 20, 32, 44
M ? 02, 14, 21, 33, 40
S ? 03, 10, 22, 34, 41
R ? 04, 11, 23, 30, 42
Matrix -II
A ? 55, 67, 79, 86, 98
T ? 56, 68, 75, 87, 99
D ? 57, 69, 76, 88, 95
I ? 58, 65, 77, 89, 96
P ? 59, 66, 78, 85, 97

All the possible representations of letters:
Matrix - I
F ? 00, 12, 24, 31, 43
O ? 01, 13, 20, 32, 44
M ? 02, 14, 21, 33, 40
S ? 03, 10, 22, 34, 41
R ? 04, 11, 23, 30, 42
Matrix -II
A ? 55, 67, 79, 86, 98
T ? 56, 68, 75, 87, 99
D ? 57, 69, 76, 88, 95
I ? 58, 65, 77, 89, 96
P ? 59, 66, 78, 85, 97
From given matrix it is clear that all the values for word MOST are matched in only option ( 2 ) for every letter . So , the set for the word MOST will be 33, 44, 22, 99 .From matrix , option ( 2 ) is required answer.

From above given matrices I and II , we get different values for word TONE -
T ? 59, 66, 78, 85, 97
O ? 02, 14, 21, 33, 40
N ? 58, 65, 77, 89, 96
E ? 01, 13, 20, 32, 44
From given matrix it is clear that all the values for word TONE are matched in only option ( 3 ) for every letter . So , the set for the word TONE will be 97, 33, 65, 44 .From matrix , option ( 3 ) is correct .