ABC26GN0041 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: 2010 · Marks: · Difficulty:

A number when divided by 114, leaves remainder 21. If the same number is divided by 19, find the remainder.
Answer
Answer (as printed):
Explanation
On dividing the given number by 114, let k be the quotient and 21 the remainder. Then, number = 114 k + 21 = 19 × 6k + 19 + 2 = 19 (6k + 1) + 2. \ The given number when divided by 19 gives remainder = 2.

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

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