Question

In a certain code language, 'AGED' is coded as '7613' and 'EARG' is coded as '1236'. What is the code for 'R' in the given code language?

• A. 1
• B. 6
• C. 3
• D. 2

Answer 1

Answer:

D. 2

Given:

• AGED → 7613

• EARG → 1236

Letters in AGED: A, G, E, D
Digits: 7, 6, 1, 3

Letters in EARG: E, A, R, G
Digits: 1, 2, 3, 6

Common letters in both words: A, G, E

Now compare their common digits:

From AGED (7613) and EARG (1236):

• E appears in both words.
  The common digit in both codes is 1.
  So, E = 1

• G appears in both words.
  The common digit is 6.
  So, G = 6

• A appears in both words.
  The remaining common digit is 3.
  So, A = 3

Now look at EARG → 1236

We already know:

E = 1
A = 3
G = 6

So the remaining digit must represent R.

Digits used: 1, 2, 3, 6
We identified 1, 3, 6

So R = 2

R is coded as 2