If HEAR is written as KJHA, then MILK can written as

Question

Prepp Team · Accepted Answer

Coding Decoding Pattern Analysis: HEAR to KJHA

This question involves a coding-decoding pattern where letters in a word are replaced by other letters based on a specific rule. We need to find the rule applied to transform HEAR into KJHA and then apply the same rule to MILK.

Analyzing the Transformation: HEAR to KJHA

Let's look at the position of each letter in the English alphabet:

H is the 8th letter.
E is the 5th letter.
A is the 1st letter.
R is the 18th letter.

Now let's look at the coded word KJHA:

K is the 11th letter.
J is the 10th letter.
H is the 8th letter.
A is the 1st letter.

Let's compare the positions of the corresponding letters:

Original Letter	Position	Coded Letter	Position	Difference
H	8	K	11	$\text{11} - \text{8} = \text{+3}$
E	5	J	10	$\text{10} - \text{5} = \text{+5}$
A	1	H	8	$\text{8} - \text{1} = \text{+7}$
R	18	A	1	$\text{1} - \text{18} = \text{-17}$ or $\text{+9}$ (cyclically)

Observing the differences, we see a pattern of adding consecutive odd numbers: +3, +5, +7. For the last letter, R (18) going to A (1), adding 9 cyclically works:

Position of R is 18. $\text{18} + \text{9} = \text{27}$. Since there are 26 letters in the alphabet, position 27 is the same as position $\text{27} - \text{26} = \text{1}$, which corresponds to the letter A. This confirms the pattern of adding +3, +5, +7, +9.

Applying the Pattern to MILK

Now, we apply the same pattern to the letters in the word MILK.

Let's find the positions of the letters in MILK:

M is the 13th letter.
I is the 9th letter.
L is the 12th letter.
K is the 11th letter.

Applying the +3, +5, +7, +9 pattern:

For M (13): $\text{13} + \text{3} = \text{16}$. The 16th letter is P.
For I (9): $\text{9} + \text{5} = \text{14}$. The 14th letter is N.
For L (12): $\text{12} + \text{7} = \text{19}$. The 19th letter is S.
For K (11): $\text{11} + \text{9} = \text{20}$. The 20th letter is T.

Combining the resulting letters, we get PNST.

Original Letter	Position	Addition	New Position	Coded Letter
M	13	+3	16	P
I	9	+5	14	N
L	12	+7	19	S
K	11	+9	20	T

Therefore, based on the coding pattern, MILK is written as PNST.

Revision Table: Coding Decoding Summary

Concept	Description	Example from Problem
Coding	Transforming a word/message based on a rule.	HEAR is coded as KJHA.
Decoding	Reversing the rule to get the original word/message.	Finding the rule from HEAR to KJHA.
Letter Position	Using the alphabetical order (A=1, B=2, ...).	H=8, E=5, A=1, R=18.
Pattern Identification	Finding the relationship between original and coded letters/numbers.	Adding +3, +5, +7, +9 to letter positions.
Cyclic Alphabet	Treating the alphabet as a cycle (after Z comes A).	R (18) + 9 → 27 → 1 (A).

Additional Information: Types of Coding Decoding

Coding-Decoding questions test your logical reasoning and pattern recognition skills. Common types include:

Letter Coding: Letters are replaced by other letters based on a shift in position, a pattern of addition/subtraction, or rearrangement. (This problem is a type of letter coding).
Number Coding: Words are coded using numbers based on letter positions, number of letters, or other arithmetic operations.
Symbol Coding: Letters or words are coded using symbols.
Mixed Coding: A combination of letters, numbers, and symbols is used for coding.
Sentence Coding: Coded messages for sentences are given, and you need to find the code for individual words.

Solving these problems requires careful observation of the given examples to identify the underlying rule or pattern.