Question : Directions: In the following, two questions, given below are the two matrices each containing two classes of letters from the alphabet. The columns and rows of Matrix I are prime numbered and Matrix II are compositely numbered. Letters from these matrices can be represented first by their row number and next by their column number. e.g. P can be written as 48, 66, 84, etc. In the following questions identify one set of number pairs out of (1), (2), (3), and (4) which represented the given word.
ROME
Option 1: 57, 55, 52, 88
Option 2: 23, 25, 27, 49
Option 3: 64, 35, 33, 32
Option 4: 96, 73, 77, 72
Correct Answer: 23, 25, 27, 49
Solution :
Given:
ROME
Number representations of each letter –
R→23, 32, 55, 77
O→25, 33, 57, 72
M→27, 35, 52, 73
E→49, 64, 88, 96
First option:
57, 55, 52, 88; R and O cannot be represented as 57 and 55 respectively.
Second option:
23, 25, 27, 49; All the letters of the word ROME can be represented through this option.
Third option:
64, 35, 33, 32; R, O, M, and E cannot be represented as 64, 35, 33, and 32 respectively.
Fourth option:
96, 73, 77, 72; R, O, M, and E cannot be represented as 96, 73, 77, and 72 respectively.
So, ROME can be represented using the codes 23, 25, 27, 49. Hence, the second option is correct.
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