Question : Direction: 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 the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and 2 to 6 those of Matrix (II) are numbered from 2 to 6 and 7 to 0 respectively. A letter from these matrices can be represented first by its row and next by its column, e.g. 'H' can be represented by 04, 25, 32, etc., and 'N' can be represented by 21, 40, 59, etc. Similarly, you have to identify the set for the word given below.
YEAR
Matrix I
| 2 | 3 | 4 | 5 | 6 | |
| 0 | Y | A | H | M | J |
| 1 | M | J | H | A | Y |
| 2 | A | Y | J | H | M |
| 3 | H | J | Y | M | A |
| 4 | J | M | A | Y | H |
Matrix II
| 7 | 8 | 9 | 1 | 0 | |
| 2 | E | R | V | N | O |
| 3 | V | N | O | E | R |
| 4 | O | E | R | V | N |
| 5 | R | V | N | O | E |
| 6 | N | O | E | R | V |
Option 1: 23, 27, 15, 61
Option 2: 16, 38, 15, 30
Option 3: 34, 31, 32, 28
Option 4: 45, 50, 35, 29
Correct Answer: 23, 27, 15, 61
Solution :
Given:
YEAR
Number representations of each letter:
Y → 02, 23, 34, 45, 16
E → 27, 48, 69, 31, 50
A → 22, 03, 44, 15, 36
R → 57, 28, 49, 61, 30
First option:
23, 27, 15, 61
All the letters of the word YEAR can be represented through this option. Hence, it's correct.
Second option:
16,
38
, 15, 30
E
cannot be represented as
38
. Hence, it's incorrect.
Third option:
34, 31,
32
, 28
A
cannot be represented as
32
. Hence, it's incorrect.
Fourth option:
45, 50, 35, 29
A
cannot be represented as
35; R
cannot be represented as
29
. Hence, it's incorrect.
Hence, the first option is correct.
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