In a code language, if SCALE is written as TEDPJ, then how will LABOR be written in the same language?

Question

Prepp Team · Accepted Answer

Understanding the Code Language Problem

This question asks us to decipher a code language based on a given example and then apply the same logic to a new word. The key is to identify the specific pattern or rule used to transform the letters of the original word into the letters of the coded word.

Analyzing the Given Code: SCALE is written as TEDPJ

Let's look at the transformation of each letter from 'SCALE' to 'TEDPJ'. We can consider the alphabetical position of each letter.

S is the 19th letter, T is the 20th letter. (19 + 1 = 20)
C is the 3rd letter, E is the 5th letter. (3 + 2 = 5)
A is the 1st letter, D is the 4th letter. (1 + 3 = 4)
L is the 12th letter, P is the 16th letter. (12 + 4 = 16)
E is the 5th letter, J is the 10th letter. (5 + 5 = 10)

The pattern observed is that the position of each letter in the original word is increased by an incrementing number starting from 1 for the first letter, 2 for the second, and so on. The mathematical representation of this pattern for the i-th letter would be:

Coded Letter Position = Original Letter Position + i

Where 'i' starts from 1 for the first letter.

Original Word	Letter	Position	Increment (i)	New Position (Position + i)	Coded Letter
SCALE	S	19	+1	20	T
	C	3	+2	5	E
	A	1	+3	4	D
	L	12	+4	16	P
	E	5	+5	10	J

The pattern is consistent: S+1, C+2, A+3, L+4, E+5 matches T, E, D, P, J respectively.

Applying the Pattern to LABOR

Now, we will apply the same pattern to the word 'LABOR'. We will take each letter in order and add the corresponding increment (1 for the first letter, 2 for the second, and so on) to its alphabetical position.

L is the 12th letter. Add 1: $12 + 1 = 13$. The 13th letter is M.
A is the 1st letter. Add 2: $1 + 2 = 3$. The 3rd letter is C.
B is the 2nd letter. Add 3: $2 + 3 = 5$. The 5th letter is E.
O is the 15th letter. Add 4: $15 + 4 = 19$. The 19th letter is S.
R is the 18th letter. Add 5: $18 + 5 = 23$. The 23rd letter is W.

Original Word	Letter	Position	Increment (i)	New Position (Position + i)	Coded Letter
LABOR	L	12	+1	13	M
	A	1	+2	3	C
	B	2	+3	5	E
	O	15	+4	19	S
	R	18	+5	23	W

Combining the coded letters, 'LABOR' is coded as 'MCESW'.

Comparing with Options

Let's check the options provided:

MBDSW
MCESV
MCESW
MCETX

Our calculated code 'MCESW' matches option 3.

Revision Table: Code Language Pattern

Concept	Description	Example (SCALE to TEDPJ)
Coding Pattern	Adding an increasing number (1, 2, 3, ...) to the alphabetical position of each letter.	S+1, C+2, A+3, L+4, E+5
Application	Apply the same pattern to the new word (LABOR).	L+1, A+2, B+3, O+4, R+5
Result (LABOR)	M, C, E, S, W	MCESW

Additional Information: Coding-Decoding Questions

Coding-decoding questions are common in logical reasoning sections of competitive exams. They test your ability to identify patterns and rules in a given set of words and codes. Common patterns include:

Shifting letters by a fixed number of positions (e.g., adding 3 to all letters).
Shifting letters by an increasing or decreasing number of positions.
Reversing the order of letters.
Substituting letters with other letters or symbols based on a table or rule.
Using a combination of these methods.

To solve these questions, always start by comparing the original word and its code letter by letter. Look for relationships based on alphabetical position, vowels/consonants, or letter sequence.