ABC26GN0031 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:

When a certain number is multiplied by 13, the product consists entirely of fives. Find the smallest such number.
Answer
SELF-PRACTICE — the source book printed no answer.

Nothing is invented here, so this question has no answer on record.

Explanation
Clearly, we keep on dividing 55555....... by 13 till we get 0 as remainder. ∴ Required number $=42735$.

Explanation as extracted from the printed page; notation may be imperfect.

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