In a certain code language, ‘CRUST’ is written as ‘201921183’ and ‘BLAME’ is written as ‘5131122’. How will ‘PLASTIC’ be written in that language?
39201911216
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.
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'.
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.
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:
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.
| 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 | \(3, 9, 20, 19, 1, 12, 16\) | \(39201911216\) |
Coding-decoding problems can involve various patterns. Some common types include:
Solving these problems effectively requires familiarity with the alphabet series (A-Z, positions 1-26) and practice in identifying different logical patterns.
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