1003 is related to 274 by a certain rule. By the same rule, 987 is related to…
2026
1003 is related to 274 by a certain rule. By the same rule, 987 is related to 258. To which number is 1105 related? Note: Perform operations on each whole number without splitting it into digits. For example, operations may be performed on 13 as a whole, but not separately on 1 and 3.
Answer: C. 376 — ConceptIn a number analogy, the same whole-number operation must map each input to its paired output. A reliable rule must work for every given pair before it…
- A.
365
- B.
367
- C.
376
- D.
307
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Correct answer: C
Concept
In a number analogy, the same whole-number operation must map each input to its paired output. A reliable rule must work for every given pair before it is applied to the unknown pair.
Application
Find the difference in the first pair: 1003 − 274 = 729.
Verify the same difference in the second pair: 987 − 258 = 729.
Apply this operation to the target number: 1105 − 729 = 376.
Cross-check
Reverse the operation: 376 + 729 = 1105. This reproduces the target input, so the mapping is consistent.
Therefore, 1105 is related to 376.