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 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. A can be represented by 40, 01, 13, 32, etc, and N can be represented by 56, 68, 89, etc. Similarly, you have to identify the set for the word given below:
SIX-KIDS
Matrix I
| 0 | 1 | 2 | 3 | 4 | |
| 4 | A | F | K | P | U |
| 3 | F | K | A | U | P |
| 2 | P | U | F | K | A |
| 1 | K | P | U | A | F |
| 0 | U | A | P | F | K |
Matrix II
| 5 | 6 | 7 | 8 | 9 | |
| 9 | D | I | N | S | X |
| 8 | X | S | I | D | N |
| 7 | N | X | S | I | D |
| 6 | S | D | X | N | I |
| 5 | I | N | D | X | S |
Option 1: 86, 87, 99 - 40, 41, 86, 64
Option 2: 98, 96, 85 - 42, 78, 88, 77
Option 3: 77, 69, 76 - 22, 95, 28, 31
Option 4: 65, 55, 67 - 05, 25, 91, 40
Correct Answer: 98, 96, 85 - 42, 78, 88, 77
Solution :
Given:
SIX - KIDS
Number representations of each letter –
S→98, 86, 77, 65, 59
I→96, 87, 78, 69, 55
X→99, 85, 76, 67, 58
K→42, 31, 23, 10, 04,
I→96, 87, 78, 69, 55
D→95, 88, 79, 66, 57
S→98, 86, 77, 68, 65, 59
First option:
86, 87, 99 - 40, 41, 86, 64; K, I, D, and S cannot be represented as 40, 41, 86, and 64 respectively.
Second option:
98, 96, 85 - 42, 78, 88, 77; All the letters of the word SIX - KIDS can be represented through this option.
Third option:
77, 69, 76 - 22, 95, 28, 31; K, I, D, and S cannot be represented as 22, 95, 28, and 31 respectively.
Fourth option:
65, 55, 67 - 05, 25, 91, 40; K, I, D, and S cannot be represented as 05, 25, 91, and 40 respectively.
So, SIX-KIDS can be represented by using the codes 98, 96, 85 - 42, 78, 88, 77. Hence, the second option is correct.
Related Questions
Question : Study the given table and answer the question(s) that follow(s).
The marks obtained by four students A, B, C, and D in Mathematics, Statistics, and Computers are given in the following table.
The marks obtained by four students A, B, C, and D in Mathematics, Statistics, and Computers are given in the following table.
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