Question

If ‘FRIEND' is coded as ‘HUMJTK', how is ‘CANDLE' coded?

• A. EDRIRJ
• B. EDRJRI
• C. FESJRL
• D. DCRHQI

Hint:

In alphabet coding problems, convert letters to their alphabetical positions if needed and identify the pattern of increase or decrease.

Answer 1

The Correct Option is A

Step 1: Understanding the Question:
This is a standard letter coding-decoding problem.
We need to figure out the mathematical logic or shift pattern used to change 'FRIEND' into 'HUMJTK' and apply that identical pattern to 'CANDLE'.
Step 2: Detailed Solution:
Let us write down the word and its corresponding code to observe the positional shifts in the English alphabet:
F \(\rightarrow\) H (Shift is \(+2\), as F, G, H)
R \(\rightarrow\) U (Shift is \(+3\), as R, S, T, U)
I \(\rightarrow\) M (Shift is \(+4\), as I, J, K, L, M)
E \(\rightarrow\) J (Shift is \(+5\), as E, F, G, H, I, J)
N \(\rightarrow\) T (Shift is \(+6\), as N, O, P, Q, R, S, T)
D \(\rightarrow\) K (Shift is \(+7\), as D, E, F, G, H, I, J, K)
The logic pattern is an incrementing series of shifts: \(+2, +3, +4, +5, +6, +7\).
Now, apply this exact sequence of shifts to the word 'CANDLE':
C \(+2\) \(\rightarrow\) E
A \(+3\) \(\rightarrow\) D
N \(+4\) \(\rightarrow\) R
D \(+5\) \(\rightarrow\) I
L \(+6\) \(\rightarrow\) R
E \(+7\) \(\rightarrow\) J
Combining the derived letters gives us the coded word: EDRIRJ.
Step 3: Final Answer:
'CANDLE' is coded as 'EDRIRJ'.