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Question

In a certain code language, 'SOBER' is written as 'THFTY'. How will 'FIRST' be written in that code language?

This question was previously asked in
SSC Stenographer 2019 Previous Year Paper (24-Dec-2020) (Shift 2)
The correct answer is

VVVNL

Understanding Coding Language Patterns

Coding language questions involve deciphering a specific rule or pattern used to transform one word or set of letters into another. Once the rule is identified from the given example, it is applied to a new word to find its coded form.

Analyzing the Given Code: SOBER to THFTY

We are given that in a certain code language, the word 'SOBER' is written as 'THFTY'. Let's examine the relationship between the letters of 'SOBER' and 'THFTY'.

Let's write down the words and their alphabetical positions:

SOBER Alphabetical Position
S 19
O 15
B 2
E 5
R 18
THFTY Alphabetical Position
T 20
H 8
F 6
T 20
Y 25

Looking at the positions letter by letter from SOBER to THFTY:

  • S (19) to T (20): $+1$
  • O (15) to H (8): $-7$
  • B (2) to F (6): $+4$
  • E (5) to T (20): $+15$
  • R (18) to Y (25): $+7$

The shifts $(+1, -7, +4, +15, +7)$ do not seem to follow a simple, immediately obvious pattern based on the original word order.

Let's try reversing the word 'SOBER' and see if there is a pattern when comparing the reversed word to 'THFTY'.

Reversed SOBER is 'REBOS'. Let's compare 'REBOS' with 'THFTY':

REBOS Alphabetical Position THFTY Alphabetical Position Shift
R 18 T 20 $20 - 18 = +2$
E 5 H 8 $8 - 5 = +3$
B 2 F 6 $6 - 2 = +4$
O 15 T 20 $20 - 15 = +5$
S 19 Y 25 $25 - 19 = +6$

Now we see a clear pattern! The code is generated by reversing the original word and then applying successive positive shifts starting from $+2$ and increasing by one for each subsequent letter $(+2, +3, +4, +5, +6)$.

Applying the Code to FIRST

We need to apply the same rule to the word 'FIRST' to find its code.

Step 1: Reverse the word 'FIRST'.

Reversed 'FIRST' is 'TSRIF'.

Step 2: Apply the successive shifts starting from $+2$ to the letters of 'TSRIF'.

  • First letter is T (20). Apply shift $+2$: $20 + 2 = 22$. The 22nd letter is V.
  • Second letter is S (19). Apply shift $+3$: $19 + 3 = 22$. The 22nd letter is V.
  • Third letter is R (18). Apply shift $+4$: $18 + 4 = 22$. The 22nd letter is V.
  • Fourth letter is I (9). Apply shift $+5$: $9 + 5 = 14$. The 14th letter is N.
  • Fifth letter is F (6). Apply shift $+6$: $6 + 6 = 12$. The 12th letter is L.

Let's summarize the transformation in a table:

Reversed FIRST Alphabetical Position Shift New Position Coded Letter
T 20 $+2$ 22 V
S 19 $+3$ 22 V
R 18 $+4$ 22 V
I 9 $+5$ 14 N
F 6 $+6$ 12 L

Combining the coded letters, we get 'VVVNL'.

Conclusion

Based on the coding pattern observed from 'SOBER' to 'THFTY', the word 'FIRST' will be written as 'VVVNL' in that code language.

Revision Table: Coding Language Review

Concept Description Example (SOBER to THFTY rule)
Coding Language A system where words/letters are transformed based on a specific rule. Reversing the word and applying sequential shifts.
Decoding Identifying the rule used in a coding language. Analyzing SOBER and THFTY to find the reverse and shift pattern.
Applying the Code Using the discovered rule to code a new word. Applying the reverse and sequential shift pattern to FIRST.
Alphabetical Position Numerical order of letters (A=1, B=2, ... Z=26). Used to calculate shifts (e.g., R=18, T=20, shift = $20-18=+2$).

Additional Information: Types of Letter Coding

Coding-decoding is a common topic in logical reasoning tests. Different types of letter coding include:

  • Letter Shifting: Each letter is shifted a certain number of places forward or backward in the alphabet (e.g., +1 shift: A→B, B→C). The shift can be uniform or vary based on position, vowel/consonant status, etc.
  • Reverse Order: The order of letters in the word is reversed.
  • Alphabetical Position: The code is based on the numerical position of letters.
  • Mixed Patterns: A combination of reversing, shifting, substituting, or other logic. The SOBER/FIRST example uses a mixed pattern of reversing and sequential shifting.
  • Vowel/Consonant Based: Different rules apply to vowels and consonants.

Solving these problems requires careful observation, pattern recognition, and systematic analysis of the given example.

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