In a certain code language, 'CHORUS' is coded as UVTPJD and "ANTHEM' is coded as OFJUPB. How will 'VOLUME’ be coded in the same language?
GNWMQW
This question is a classic example of a coding-decoding problem often found in reasoning sections of competitive exams. We need to identify the specific rule or pattern used to transform the original words into their coded forms. Once the pattern is found, we can apply it to the word 'VOLUME' to find its code.
Let's look at the letters in 'CHORUS' and their corresponding letters in the coded word 'UVTPJD'. We can also note their positions in the English alphabet (A=1, B=2, ... Z=26).
| Original Word | Position | Coded Word | Position |
| C | 3 | U | 21 |
| H | 8 | V | 22 |
| O | 15 | T | 20 |
| R | 18 | P | 16 |
| U | 21 | J | 10 |
| S | 19 | D | 4 |
Direct mapping doesn't reveal a simple shift. Let's consider other possibilities, such as reversing the coded word and checking for a pattern.
The coded word for CHORUS is UVTPJD. Let's reverse it: DJPT VU.
| Original Letter | Position | Reversed Coded Letter | Position | Difference |
| C | 3 | D | 4 | \(4 - 3 = +1\) |
| H | 8 | J | 10 | \(10 - 8 = +2\) |
| O | 15 | P | 16 | \(16 - 15 = +1\) |
| R | 18 | T | 20 | \(20 - 18 = +2\) |
| U | 21 | V | 22 | \(22 - 21 = +1\) |
| S | 19 | U | 21 | \(21 - 19 = +2\) |
It appears the pattern is: take the original word, apply a letter shift of +1, +2, +1, +2, +1, +2 to its letters based on their position, and then reverse the resulting string to get the final code.
Let's apply this suspected pattern to the second example, 'ANTHEM' coded as 'OFJUPB'.
Original word: ANTHEM
The intermediate string is BPUJFO. Reversing this string gives OFJUPB, which matches the given coded word for ANTHEM. The pattern is confirmed.
Now, let's apply the same pattern to the word 'VOLUME'.
Original word: VOLUME
The intermediate string is WQMWNG.
Now, reverse the intermediate string to get the final coded word.
Reversed string: GNWMQW
Following the identified coding pattern, the word 'VOLUME' is coded as 'GNWMQW'. This matches option 4.
| Original Word | Shift (+1, +2, ...) | Intermediate String | Final Coded Word (Reverse) |
| V | V+1 = W | WQMWNG | GNWMQW |
| O | O+2 = Q | ||
| L | L+1 = M | ||
| U | U+2 = W | ||
| M | M+1 = N | ||
| E | E+2 = G |
| Word | Pattern Applied | Intermediate Result | Reversed (Coded) |
| CHORUS | \(+1, +2, +1, +2, +1, +2\) | DJPT VU | UVTPJD |
| ANTHEM | \(+1, +2, +1, +2, +1, +2\) | BPUJFO | OFJUPB |
| VOLUME | \(+1, +2, +1, +2, +1, +2\) | WQMWNG | GNWMQW |
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