If in a certain code language, 'BASE' is coded as '27', then what is the code of 'COLLECTION' in the same coded language?

Question

Prepp Team · Accepted Answer

Solving Letter Coding: BASE to 27

The question asks us to find the code for the word 'COLLECTION' based on a given code for 'BASE'. We are told that 'BASE' is coded as '27'. We need to figure out the rule or pattern used to convert the letters of 'BASE' into the number '27'.

Decoding the Pattern for 'BASE'

A common method in such coding problems is to use the alphabetical position of each letter. Let's check the position of each letter in 'BASE' in the English alphabet (A=1, B=2, C=3, and so on).

B is the 2nd letter.
A is the 1st letter.
S is the 19th letter.
E is the 5th letter.

Let's try summing these positional values:

\( \text{Positional values of BASE} = \text{Position of B} + \text{Position of A} + \text{Position of S} + \text{Position of E} \)

\( = 2 + 1 + 19 + 5 \)

\( = 27 \)

The sum of the alphabetical positions of the letters in 'BASE' is 27, which matches the given code. So, the rule is to sum the alphabetical positions of the letters in the word.

Applying the Pattern to 'COLLECTION'

Now, we apply the same rule to find the code for 'COLLECTION'. We will find the alphabetical position of each letter in 'COLLECTION' and sum them up.

Letter	Alphabetical Position
C	3
O	15
L	12
L	12
E	5
C	3
T	20
I	9
O	15
N	14

Now, let's sum these positional values:

\( \text{Code of COLLECTION} = 3 + 15 + 12 + 12 + 5 + 3 + 20 + 9 + 15 + 14 \)

\( = (3 + 15) + (12 + 12) + 5 + 3 + 20 + 9 + 15 + 14 \)

\( = 18 + 24 + 5 + 3 + 20 + 9 + 15 + 14 \)

\( = 42 + 5 + 3 + 20 + 9 + 15 + 14 \)

\( = 47 + 3 + 20 + 9 + 15 + 14 \)

\( = 50 + 20 + 9 + 15 + 14 \)

\( = 70 + 9 + 15 + 14 \)

\( = 79 + 15 + 14 \)

\( = 94 + 14 \)

\( = 108 \)

So, the code for 'COLLECTION' is 108.

Final Answer Determination

Based on the discovered pattern (summing alphabetical positions), the code for 'COLLECTION' is 108.

Revision Table: Letter Coding Logic

Word	Letters & Positions	Calculation	Code
BASE	B(2), A(1), S(19), E(5)	\(2 + 1 + 19 + 5\)	27
COLLECTION	C(3), O(15), L(12), L(12), E(5), C(3), T(20), I(9), O(15), N(14)	\(3 + 15 + 12 + 12 + 5 + 3 + 20 + 9 + 15 + 14\)	108

Additional Information: Types of Letter Coding

Letter coding is a common type of question in logical reasoning where letters are replaced with other letters, numbers, or symbols based on a specific rule or pattern. Understanding different types of patterns can help solve these problems quickly.

Alphabetical Position: Assigning numerical values based on the letter's position (A=1, B=2, ... Z=26). This was used in the problem above. Sometimes reverse positions (A=26, B=25, ...) are used.
Skipping Letters: Replacing a letter with another letter a fixed number of steps forward or backward in the alphabet. For example, replacing each letter with the letter 3 steps after it (A becomes D, B becomes E, etc.).
Reverse Order: Writing the word in reverse order and then applying another rule.
Opposite Letters: Replacing a letter with its opposite letter in the alphabet (A is opposite to Z, B is opposite to Y, etc.).
Mixed Patterns: A combination of two or more of the above rules.

Always look for a consistent rule that applies to the given example (like 'BASE' coded as '27') before applying it to the word whose code you need to find ('COLLECTION').