In a certain code language, ‘CRUST’ is written as ‘201921183’ and ‘BLAME’ is written as ‘5131122’. How will ‘PLASTIC’ be written in that language?

Question

In a certain code language, &lsquo;CRUST&rsquo; is written as &lsquo;201921183&rsquo; and &lsquo;BLAME&rsquo; is written as &lsquo;5131122&rsquo;. How will &lsquo;PLASTIC&rsquo; be written in that language?

Prepp Team · Accepted Answer

Understanding Coding Decoding Patterns

Coding-decoding questions require you to decipher a hidden rule or pattern used to convert a word, number, or symbol into a different form. Once the pattern is identified from the given examples, you apply it to find the code for the new word.

Analyzing the Pattern for 'CRUST'

The word 'CRUST' is coded as '201921183'. Let's consider the standard alphabetical positions of the letters:

Letter	C	R	U	S	T
Position	\(3\)	\(18\)	\(21\)	\(19\)	\(20\)

Let's look at the coded value '201921183'. If we arrange the letters of 'CRUST' in reverse order, we get T, S, U, R, C.

Letter (Reverse Order)	T	S	U	R	C
Position	\(20\)	\(19\)	\(21\)	\(18\)	\(3\)

Concatenating these positions (\(20\)\(19\)\(21\)\(18\)\(3\)) results in '201921183', which matches the given code for 'CRUST'.

Verifying the Pattern with 'BLAME'

Let's check if the same pattern holds for 'BLAME', which is coded as '5131122'.

Letter	B	L	A	M	E
Position	\(2\)	\(12\)	\(1\)	\(13\)	\(5\)

Arranging the letters of 'BLAME' in reverse order gives E, M, A, L, B. Their positions are:

Letter (Reverse Order)	E	M	A	L	B
Position	\(5\)	\(13\)	\(1\)	\(12\)	\(2\)

Concatenating these positions (\(5\)\(13\)\(1\)\(12\)\(2\)) gives '5131122', which matches the code for 'BLAME'. The pattern is confirmed: Write the letters of the word in reverse order and then write their standard alphabetical positions consecutively.

Applying the Code Logic to 'PLASTIC'

Now, let's apply this pattern to find the code for 'PLASTIC'.

Word: PLASTIC

Letters in reverse order: C, I, T, S, A, L, P

Standard alphabetical positions of these letters:

C: \(3\)
I: \(9\)
T: \(20\)
S: \(19\)
A: \(1\)
L: \(12\)
P: \(16\)

Concatenating the positions in the reverse order (C, I, T, S, A, L, P):

\(3\)\(9\)\(20\)\(19\)\(1\)\(12\)\(16\)

This sequence of digits forms the code for 'PLASTIC'.

So, the code for 'PLASTIC' is 39201911216.

Revision Table: Coding Logic Summary

Word	Letters (Reverse Order)	Positions	Code (Concatenated Positions)
CRUST	T, S, U, R, C	\(20, 19, 21, 18, 3\)	\(201921183\)
BLAME	E, M, A, L, B	\(5, 13, 1, 12, 2\)	\(5131122\)
PLASTIC	C, I, T, S, A, L, P	\(3, 9, 20, 19, 1, 12, 16\)	\(39201911216\)

Additional Information: Types of Coding-Decoding

Coding-decoding problems can involve various patterns. Some common types include:

Letter Coding: Letters are replaced by other letters based on a rule (e.g., shifting positions, opposite letters).
Number Coding: Words are coded using numbers (like in this problem), or numbers are coded using other numbers/symbols. The rule often relates letter positions or numerical operations.
Symbol Coding: Letters or words are coded using symbols.
Mixed Coding: Words and their codes are given in a jumbled format, and you need to decode the rule or find the code for a specific word.

Solving these problems effectively requires familiarity with the alphabet series (A-Z, positions 1-26) and practice in identifying different logical patterns.