Question : Directions: 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 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. B can be represented by 01, 10, 22, etc, and F can be represented by 55, 76, 86, etc. Similarly, you have to identify the set for the given word - CAGE.
Matrix I
| 0 | 1 | 2 | 3 | 4 | |
| 0 | A | B | C | D | E |
| 1 | B | C | D | E | A |
| 2 | C | D | B | A | E |
| 3 | D | C | B | E | A |
| 4 | E | B | A | C | D |
Matrix II
| 5 | 6 | 7 | 8 | 9 | |
| 5 | F | G | H | I | J |
| 6 | G | F | I | J | H |
| 7 | I | F | G | J | H |
| 8 | H | F | G | I | J |
| 9 | J | F | G | J | I |
Option 1: 95, 82, 31,14
Option 2: 20, 00, 65, 40
Option 3: 14, 20, 41, 86
Option 4: 00, 21, 41, 95
Correct Answer: 20, 00, 65, 40
Solution :
Given:
CAGE
Number representations of each letter –
C→02, 11, 20, 31, 43
A→00, 14, 23, 34, 42
G→56, 65, 77, 87, 97
E→04, 13, 24, 33, 40
First option:
95, 82, 31,14; C, A, G, and E cannot be represented as 95, 82, 31, and 14 respectively.
Second option:
20, 00, 65, 40; All the letters of the word CAGE can be represented through this option.
Third option:
14, 20, 41, 86; C, A, G, and E cannot be represented as 14, 20, 41 and 86 respectively.
Fourth option:
00, 21, 41, 95; C, A, G, and E cannot be represented as 00, 21, 41, and 95 respectively.
So, CAGE can be represented by using the codes 20, 00, 65, 40. Hence, the second option is correct.
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