In a certain code language, ‘LOAD’ is coded as ‘7624’, ‘DONE’ is coded as ‘9436’ and ‘MALE’ is coded as ‘2573’. What is the code for ‘M’ in the given code language?
A5
B2
C3
D7
Answer:
A. 5
Read Explanation:
The code for ‘M’ in the given code language is 5.
1. Identify the Codes Given
LOAD = 7624
DONE = 9436
MALE = 2573
2. Eliminate Common Letters to Isolate 'M'
We need to find the digits for A, L, and E to figure out what is left for M in the word MALE (2573).
Find 'E':
Compare DONE (9436) and MALE (2573).
The only common letter is E.
The only common digit between 9436 and 2573 is 3.
Therefore, E = 3.
Find 'L' and 'A':
Compare LOAD (7624) and MALE (2573).
The common letters are L and A.
The common digits between 7624 and 2573 are 7 and 2.
Therefore, L and A are represented by 7 and 2 (in some order).
3. Determine the Remaining Code for 'M'
Look back at the word MALE:
The digits for MALE are 2, 5, 7, 3.
We already know:
E = 3
L and A = 7 and 2
The only letter left is M, and the only digit left is 5.