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Question

In a code language, SICK is written as JBHR. How will CURE be written in the same language?

The correct answer is

DQTB

Decoding the Code Language Pattern: SICK to JBHR

This question asks us to identify the rule used to transform the word SICK into the code JBHR and then apply the same rule to find the code for the word CURE. These types of questions test our ability to find logical patterns based on alphabetical positions, shifts, or other rearrangements.

Analyzing the Pattern in SICK to JBHR

Let's look at the letters of the original word SICK and their corresponding letters in the coded word JBHR:

  • S corresponds to J
  • I corresponds to B
  • C corresponds to H
  • K corresponds to R

Initially, we might look for a direct shift in alphabetical position for each letter:

  • S (19) to J (10): This is a shift of $10 - 19 = -9$.
  • I (9) to B (2): This is a shift of $2 - 9 = -7$.
  • C (3) to H (8): This is a shift of $8 - 3 = +5$.
  • K (11) to R (18): This is a shift of $18 - 11 = +7$.

The shifts (-9, -7, +5, +7) do not follow a simple, consistent pattern. This suggests that the relationship might not be a direct letter-by-letter correspondence with a simple shift.

Identifying the Correct Coding Pattern

Let's reconsider the relationship between the letters. What if the letters in the coded word are arranged in a different order? Let's try comparing the letters of SICK with the letters of JBHR in reverse order:

  • S with R (last letter of JBHR)
  • I with H (third letter of JBHR)
  • C with B (second letter of JBHR)
  • K with J (first letter of JBHR)

Let's examine the shifts now:

  • S (19) to R (18): This is a shift of $18 - 19 = -1$.
  • I (9) to H (8): This is a shift of $8 - 9 = -1$.
  • C (3) to B (2): This is a shift of $2 - 3 = -1$.
  • K (11) to J (10): This is a shift of $10 - 11 = -1$.

This reveals a consistent pattern! Each letter in SICK is shifted back by one position in the alphabet, and the resulting letters are then arranged in reverse order to form the code JBHR.

Let's verify this rule with SICK:

  • S shifted back by 1 is R.
  • I shifted back by 1 is H.
  • C shifted back by 1 is B.
  • K shifted back by 1 is J.

The sequence of shifted letters is RHBJ. When we reverse this sequence, we get JBHR, which matches the given code for SICK.

Applying the Pattern to CURE

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

Step 1: Shift each letter back by 1 position.

  • C (3) shifted back by 1 is B (2).
  • U (21) shifted back by 1 is T (20).
  • R (18) shifted back by 1 is Q (17).
  • E (5) shifted back by 1 is D (4).

The sequence of shifted letters is BTQD.

Step 2: Reverse the sequence of shifted letters.

Reversing the sequence BTQD gives us DQTB.

Comparing with Options

The coded word for CURE based on the identified pattern is DQTB. Let's check the given options:

  1. GHRT
  2. DATR
  3. JRCG
  4. DQTB

Our result, DQTB, matches Option 4.

Original Word Shifted Letters (-1) Reversed Shifted Letters (Code)
SICK RHBJ JBHR
CURE BTQD DQTB

Therefore, following the logic derived from SICK to JBHR, the word CURE is coded as DQTB.

Revision Table: Code Language Concepts

Concept Description Example
Letter Position The numerical order of a letter in the alphabet (A=1, B=2, ... Z=26). C is the 3rd letter, so its position is 3.
Alphabetical Shift Moving a letter forward or backward a certain number of positions in the alphabet. A +1 shift on C gives D. A -1 shift on C gives B.
Reversal Arranging the elements of a sequence in the opposite order. Reversing the sequence ABCD gives DCBA.
Coding Pattern The specific rule or set of rules used to transform a word into a coded form. Shift each letter by -1 and reverse the result.

Additional Information: Types of Coding Patterns

Coding language questions in logical reasoning often use various patterns. Understanding these common types can help you solve problems faster:

  • Simple Shift Cipher: Each letter is shifted by a fixed number of positions (e.g., Caesar cipher).
  • Variable Shift: The shift amount changes for each letter based on its position in the word or the alphabet.
  • Letter Reversal/Rearrangement: The letters in the original word are rearranged or reversed in the coded word.
  • Opposite Letters: Pairing letters with their 'opposite' (A with Z, B with Y, etc.).
  • Combination of Patterns: Using multiple rules like shifting and then reversing, or different rules for vowels and consonants.
  • Number/Symbol Substitution: Replacing letters with numbers or symbols based on a rule.

Practice with different examples helps in quickly identifying the pattern being used in a specific question.

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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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