In a certain code language, 'BACKED' is coded as 'GHNFDE' and 'CLOSER' is coded as 'UHVROF'. How will 'JUNIOR' be coded in the same language?
URLQXM
This question requires us to decipher a specific code language based on two examples provided: 'BACKED' coded as 'GHNFDE' and 'CLOSER' coded as 'UHVROF'. We need to find the code for the word 'JUNIOR' using the same pattern.
Let's analyze the relationship between the original words and their coded forms. A common approach in such coding-decoding problems is to look for patterns related to letter positions in the alphabet (A=1, B=2, ..., Z=26) or simple shifts.
Let's write down the alphabetical position of each letter in the given words and their codes:
| Word | Letter | Position |
|---|---|---|
| BACKED | B | 2 |
| A | 1 | |
| C | 3 | |
| K | 11 | |
| E | 5 | |
| D | 4 |
| Coded Word | Letter | Position |
|---|---|---|
| GHNFDE | G | 7 |
| H | 8 | |
| N | 14 | |
| F | 6 | |
| D | 4 | |
| E | 5 |
Let's calculate the sum of the positions for 'BACKED' and 'GHNFDE':
The difference in sums is $44 - 26 = 18$.
Now let's do the same for the second example, 'CLOSER' coded as 'UHVROF'.
| Word | Letter | Position |
|---|---|---|
| CLOSER | C | 3 |
| L | 12 | |
| O | 15 | |
| S | 19 | |
| E | 5 | |
| R | 18 |
| Coded Word | Letter | Position |
|---|---|---|
| UHVROF | U | 21 |
| H | 8 | |
| V | 22 | |
| R | 18 | |
| O | 15 | |
| F | 6 |
Let's calculate the sum of the positions for 'CLOSER' and 'UHVROF':
The difference in sums is $90 - 72 = 18$.
The pattern observed is that the sum of the alphabetical positions of the letters in the coded word is 18 more than the sum of the alphabetical positions of the letters in the original word.
Now, let's apply this pattern to the word 'JUNIOR'. First, calculate the sum of the alphabetical positions for 'JUNIOR'.
| Word | Letter | Position |
|---|---|---|
| JUNIOR | J | 10 |
| U | 21 | |
| N | 14 | |
| I | 9 | |
| O | 15 | |
| R | 18 |
Sum for JUNIOR: $10 + 21 + 14 + 9 + 15 + 18 = 87$.
Based on the identified pattern, the sum of the alphabetical positions of the letters in the coded word for 'JUNIOR' should be $87 + 18 = 105$.
Let's calculate the sum of the alphabetical positions for each given option:
| Option | Letters | Positions | Sum |
|---|---|---|---|
| 1 | VSNRYN | V(22), S(19), N(14), R(18), Y(25), N(14) | $22+19+14+18+25+14 = 112$ |
| 2 | TRMQYM | T(20), R(18), M(13), Q(17), Y(25), M(13) | $20+18+13+17+25+13 = 106$ |
| 3 | USMRYN | U(21), S(19), M(13), R(18), Y(25), N(14) | $21+19+13+18+25+14 = 110$ |
| 4 | URLQXM | U(21), R(18), L(12), Q(17), X(24), M(13) | $21+18+12+17+24+13 = 105$ |
Comparing the sums of the options with the target sum (105), we find that option 4, 'URLQXM', has a sum of 105.
Therefore, based on the identified pattern, 'JUNIOR' is coded as 'URLQXM'.
The code language follows a pattern where the sum of the alphabetical positions of the letters in the coded word is consistently 18 greater than the sum of the alphabetical positions of the letters in the original word. By calculating the sum for 'JUNIOR' and adding 18, we determined the target sum for its code. Checking the options revealed that 'URLQXM' is the only word whose letters' positional sum matches this target.
| Original Word | Sum of Positions | Coded Word | Sum of Positions | Difference |
|---|---|---|---|---|
| BACKED | 26 | GHNFDE | 44 | 18 |
| CLOSER | 72 | UHVROF | 90 | 18 |
| JUNIOR | 87 | URLQXM | 105 | 18 |
Coding and decoding questions are common in logical reasoning sections of various competitive exams. These questions test your ability to identify patterns and rules governing the transformation of words, numbers, or symbols.
Common types of coding-decoding patterns include:
To solve coding-decoding problems effectively, it's helpful to:
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