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Question

In a certain code language, ‘INCH’ is coded as ‘CXID’. What is the code for ‘HUGE’ in that code language?

The correct answer is

ZBPC

This question involves understanding a specific coding language pattern where one word is transformed into another. We are given that 'INCH' is coded as 'CXID'. We need to apply the same logic to find the code for 'HUGE'.

Let's analyze the relationship between the letters of 'INCH' and 'CXID'. We can look at the alphabetical positions of the letters:

  • I is the 9th letter.
  • N is the 14th letter.
  • C is the 3rd letter.
  • H is the 8th letter.

And for the coded word 'CXID':

  • C is the 3rd letter.
  • X is the 24th letter.
  • I is the 9th letter.
  • D is the 4th letter.

Comparing the positions, there isn't a simple direct shift from the first letter of INCH to the first letter of CXID, second to second, and so on (e.g., I(9) to C(3) is -6, N(14) to X(24) is +10, C(3) to I(9) is +6, H(8) to D(4) is -4. This pattern is inconsistent).

Let's try looking for a pattern involving reversal or a different order. Consider shifting each letter of 'INCH' backwards by 5 positions in the alphabet. Remember that the alphabet wraps around (A comes after Z).

  • I (9th letter) - 5 = 4th letter, which is D.
  • N (14th letter) - 5 = 9th letter, which is I.
  • C (3rd letter) - 5 = -2. Wrapping around (26 - 2) gives the 24th letter, which is X.
  • H (8th letter) - 5 = 3rd letter, which is C.

The letters obtained after shifting are D, I, X, C.

Now, let's compare this sequence (D, I, X, C) with the coded word 'CXID'. We can see that 'CXID' is the reverse of D, I, X, C.

So, the logic of the code is: Shift each letter of the original word 5 positions backwards in the alphabet, and then reverse the order of the resulting letters.

Applying the Coding Logic to HUGE

Now, let's apply this pattern to the word 'HUGE'. First, find the alphabetical position of each letter in 'HUGE':

  • H is the 8th letter.
  • U is the 21st letter.
  • G is the 7th letter.
  • E is the 5th letter.

Next, shift each letter 5 positions backwards:

  • H (8th letter) - 5 = 3rd letter, which is C.
  • U (21st letter) - 5 = 16th letter, which is P.
  • G (7th letter) - 5 = 2nd letter, which is B.
  • E (5th letter) - 5 = 0. Wrapping around (26 - 0) gives the 26th letter, which is Z.

The resulting sequence of letters after the shift is C, P, B, Z.

Finally, reverse the order of these letters:

Z, B, P, C

Therefore, the code for 'HUGE' is 'ZBPC'.

Let's check the given options:

  • Option 1: ZBPD
  • Option 2: ZBPC
  • Option 3: ZBQC
  • Option 4: ZCPC

Our derived code 'ZBPC' matches Option 2.

Revision Table: Letter Coding Analysis

Original WordLetterAlphabetical PositionShifted Position (\(P-5\))Shifted Letter
INCHI9\(9-5=4\)D
N14\(14-5=9\)I
C3\(3-5=-2 \equiv 24\)X
H8\(8-5=3\)C

Shifted letters:

D, I, X, C

Reversed:

C, X, I, D

HUGEH8\(8-5=3\)C
U21\(21-5=16\)P
G7\(7-5=2\)B
E5\(5-5=0 \equiv 26\)Z

Shifted letters:

C, P, B, Z

Reversed:

Z, B, P, C

Additional Information: Common Coding-Decoding Types

Coding-decoding questions test your logical reasoning and pattern recognition skills. Some common types include:

  • Letter Coding: Letters of a word are replaced by other letters based on a specific rule. The rule can involve shifting positions, reversing the alphabet, skipping letters, or a combination. This question is an example of letter coding with a shift and reversal.
  • Number Coding: Words are coded using numbers based on the position of letters, number of letters, vowel/consonant counts, or other numerical patterns.
  • Symbol Coding: Letters or words are represented by symbols.
  • Mixed Coding: Sometimes, words, numbers, and symbols are used together in a coding pattern.
  • Sentence Coding: Complete sentences are coded, and you need to identify the code for individual words by comparing different coded sentences.

Solving these questions requires careful observation, trial and error to identify the pattern, and consistent application of that pattern.

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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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