Difficulty: Medium
Correct Answer: 62971
Explanation:
Introduction / Context:
This question defines a mapping from letters to digits. The word SPARROW is written as 1326654 and RING is written as 6978. Using these examples, we must deduce each letter’s digit and then encode the new word RAINS.
Given Data / Assumptions:
Concept / Approach:
We align each letter of SPARROW with its corresponding digit, and do the same with RING. From these alignments, we can build a dictionary mapping letters to digits. Then we map each letter of RAINS using this dictionary and write down the resulting sequence of digits.
Step-by-Step Solution:
Step 1: From SPARROW → 1326654.
S P A R R O W.
1 3 2 6 6 5 4.
So we get: S → 1, P → 3, A → 2, R → 6, O → 5, W → 4.
Step 2: From RING → 6978.
R I N G.
6 9 7 8.
This gives: R → 6 (consistent), I → 9, N → 7, G → 8.
Step 3: Collect the full mapping we need for RAINS:
R → 6, A → 2, I → 9, N → 7, S → 1.
Step 4: Encode RAINS.
RAINS → R A I N S → 6 2 9 7 1.
Verification / Alternative check:
We can substitute these digits back into SPARROW and RING to make sure they reconstruct the original codes. Everything matches exactly, confirming that the mapping is consistent and correct.
Why Other Options Are Wrong:
In other options, one or more digits are wrong, often changing the last digit from 1 to 2 or 7, or reordering digits. Such alterations contradict the fixed letter–digit assignments established from SPARROW and RING.
Common Pitfalls:
A frequent issue is misaligning letters with digits when reading the first example, especially around the double R in SPARROW. Another is assuming different digits for the same letter, which is never allowed in this kind of code.
Final Answer:
Using the same letter–digit code, RAINS is written as 62971 in that code language.
Discussion & Comments