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Question

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?  

This question was previously asked in
SSC CGL 2023 (Tier-II) Paper 1 Previous Year Paper (26-Oct-2023) (Shift-1)
The correct answer is

GNWMQW

Understanding the Coding Pattern

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.

Analyzing the Example: CHORUS to UVTPJD

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.

Verifying with ANTHEM to OFJUPB

Let's apply this suspected pattern to the second example, 'ANTHEM' coded as 'OFJUPB'.

Original word: ANTHEM

  • A (1st letter) + 1 = B
  • N (2nd letter) + 2 = P
  • T (3rd letter) + 1 = U
  • H (4th letter) + 2 = J
  • E (5th letter) + 1 = F
  • M (6th letter) + 2 = O

The intermediate string is BPUJFO. Reversing this string gives OFJUPB, which matches the given coded word for ANTHEM. The pattern is confirmed.

Coding VOLUME using the Pattern

Now, let's apply the same pattern to the word 'VOLUME'.

Original word: VOLUME

  • V (1st letter) + 1 = W
  • O (2nd letter) + 2 = Q
  • L (3rd letter) + 1 = M
  • U (4th letter) + 2 = W
  • M (5th letter) + 1 = N
  • E (6th letter) + 2 = G

The intermediate string is WQMWNG.

Now, reverse the intermediate string to get the final coded word.

Reversed string: GNWMQW

Conclusion

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

Revision Table: Coding Decoding Summary

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

Additional Information: Tips for Solving Coding Decoding Problems

  • Always write down the letters and their positions (1-26).
  • Check for simple shifts (e.g., +1, -1, +2, -2) or constant shifts.
  • Look for patterns involving opposite letters (A is Z, B is Y, etc.).
  • Consider reversing the original word or the coded word.
  • Patterns might involve a combination of shifts, reversals, or changing sequence.
  • Look for patterns based on the position of the letter in the word (1st, 2nd, etc.).
  • Test your discovered pattern on all provided examples before applying it to the word you need to code.
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Important Questions from Operations on Place Value

  1. In a certain code language, TOGETHER is coded as 119 and MASTER is coded as 87. How will REVERSE be coded in that language?

  2. In a code language, SOUGHT is written as VRXDEQ. How will ENSURE be written in that language?

  3. In a certain code, if BRDKE is written as AQCJD, then SLEEP will be written in that code as:

  4. In a certain code language, ‘BULB’ is written as ‘190’, ‘CALM’ is written as ‘150’. What is the code for ‘DOES’ in that code language

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