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Question

In a certain code, ACQUIRE is written as ZXJFRIV. How will MANAGER be written in that code?

The correct answer is

NZMZTVI

Understanding Coding and Decoding

Coding and decoding questions test your ability to identify a pattern or rule in how words or letters are transformed and then apply that rule to a new word. In this specific problem, we are given a coded word for 'ACQUIRE' and asked to find the code for 'MANAGER' using the same rule.

Analyzing the Pattern: ACQUIRE to ZXJFRIV Coding

Let's look at how each letter in 'ACQUIRE' is transformed into a letter in 'ZXJFRIV'. We can analyze their positions in the English alphabet (A=1, B=2, ..., Z=26).

Original Letter Position Coded Letter Position Sum of Positions
A 1 Z 26 1 + 26 = 27
C 3 X 24 3 + 24 = 27
Q 17 J 10 17 + 10 = 27
U 21 F 6 21 + 6 = 27
I 9 R 18 9 + 18 = 27
R 18 I 9 18 + 9 = 27
E 5 V 22 5 + 22 = 27

The pattern observed is that the sum of the alphabetical positions of the original letter and its coded letter is always 27. This means each letter is replaced by the letter that is equidistant from the opposite end of the alphabet.

Applying the Coding Logic to MANAGER

Now, we apply the same logic to the word 'MANAGER'. For each letter in 'MANAGER', we find the letter whose alphabetical position, when added to the original letter's position, sums up to 27.

Original Letter Position Calculation (27 - Position) Coded Letter (Position 27-Position)
M 13 $27 - 13 = 14$ N (Position 14)
A 1 $27 - 1 = 26$ Z (Position 26)
N 14 $27 - 14 = 13$ M (Position 13)
A 1 $27 - 1 = 26$ Z (Position 26)
G 7 $27 - 7 = 20$ T (Position 20)
E 5 $27 - 5 = 22$ V (Position 22)
R 18 $27 - 18 = 9$ I (Position 9)

By applying the rule consistently, the word 'MANAGER' is coded as 'NZMZTVI'.

Comparing with the Options

Let's check the generated code 'NZMZTVI' against the given options:

  • Option 1: NZNVTVI - Incorrect (The fourth letter is V instead of Z)
  • Option 2: NZNVIVT - Incorrect (Several letters do not match)
  • Option 3: NZNVTIV - Incorrect (The fourth letter is V instead of Z)
  • Option 4: NZMZTVI - Correct

The coded word for MANAGER based on the pattern derived from ACQUIRE and ZXJFRIV is NZMZTVI, which matches Option 4.

Revision Table: Coding Decoding Key Concepts

Concept Description Example Rule
Letter Coding Letters are replaced by other letters based on a specific rule. Each letter shifts 3 places forward (A > D).
Alphabetical Position Using the numerical position of letters (A=1, B=2...). A=1, Z=26.
Opposite Letters Letters equidistant from the start and end of the alphabet. Sum of positions is 27. A and Z, B and Y, C and X, etc.

Additional Information on Letter Coding Patterns

Coding and decoding problems often involve different types of letter-based patterns. Understanding these can help solve problems quickly:

  • Shift Ciphers: Each letter is shifted a fixed number of positions forward or backward (e.g., Caesar cipher).
  • Reverse Alphabetical Order: The alphabet is written in reverse, and letters are mapped directly (A maps to Z, B to Y, etc.). This is the pattern seen in the ACQUIRE/ZXJFRIV example, where position sum is 27.
  • Jumbled Letters: Letters within the word are rearranged based on a pattern (e.g., reverse the word, swap pairs of letters).
  • Consonant/Vowel Mapping: Consonants might follow one rule and vowels another.
  • Specific Position Mapping: Letters at specific positions (e.g., 1st, 3rd, 5th) might follow a different rule than others.

Practicing various types of letter coding problems helps in quickly identifying the underlying rule and applying it correctly.

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Important Questions from Coding and Decoding By Letter Shifting

  1. In a certain code language, 'INERTIA' is written as 'RGVKGBZ'. How will 'FLOWER' be written in that language?

  2. In a certain code language, ‘ADVANCE’ is written as ‘VDAAECN’ and ‘BABYSIT’ is written as ‘BABYTIS’. How will ‘AFFABLE’ be written in that language?

  3. In a certain language, CHHAPAK is coded as DJKEUGR. How will MALANGA be coded in that language?

  4. In a certain code language, ‘DURABLES’ is written as ‘BSVETFMC’. How will ‘FEASIBLE’ be written in that language?

  5. In a certain code language, 'FIXED' is written as 'XIFED' and 'MOUSE' is written as 'USOME'. How will 'GAMBIT' be written in that language?

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