Question : Direction: In this 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 in the 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. '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.
'GATE'
Option 1: 30, 89, 11, 57
Option 2: 21, 68, 34, 78
Option 3: 21, 96, 24, 78
Option 4: 12, 89, 42, 68
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Correct Answer: 21, 96, 24, 78
Solution :
Given:
GATE
Number representations of each letter:
G → 30, 21, 12, 03, 44
A → 55, 96, 77, 68, 89
T → 10, 01, 42, 33, 24
E → 85, 56, 97, 78, 69
First option
:
30, 89, 11, 57
T cannot be represented by 11; E cannot be represented by 57. Hence, it's incorrect.
Second option
:
21, 68, 34, 78
T cannot be represented as 34. Hence, it's incorrect
Third option
: 21, 96, 24, 78
All the letters of the word GATE can be represented through this option. Hence, it's correct.
Fourth option
:
12, 89, 42, 68
T cannot be represented as 42; E cannot be represented as 68. Hence, it's incorrect.
Hence, the third option is correct.
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