In a certain encoding, the word TIER is written as 7163 and the word BRAIN is written as 23415. What will be the encoding for the word RENT?
Explanation
The correct answer is (c) 4153.
This is a substitution-based coding problem where each letter corresponds to a specific digit. By comparing the given words, we can extract the code for each letter:
TIER = 7163 ⟹T=7,I=1,E=6,R=3
BRAIN = 23415 ⟹B=2,R=3,A=4,I=1,N=5
To find the encoding for RENT, we substitute the values derived above:
R = 3
E = 6
N = 5
T = 7
Wait, looking closer at the options and the letter mapping:
If we assemble these as RENT=3657, that would match option (d). However, let us re-verify the mapping from BRAIN (R=3) and TIER (R=3):
R is consistently 3.
E is consistently 6.
T is consistently 7.
N is consistently 5.
Based on the mapping R=3,E=6,N=5,T=7, the code is 3657, which corresponds to option (d).