A number when divided by 6 leaves remainder 3. When the square of the same number is divided by 6, find the… · ABC26GN0046
Subject: General Aptitude · Chapter: Number System
A number when divided by 6 leaves remainder 3. When the square of the same number is divided by 6, find the remainder.
Answer
No answer key was printed for this question.
Explanation
On dividing the given number by 6, let k be the quotient and 3 the remainder. Then, number = 6k + 3. Square of the number = (6k + 3)2 = 36k2 + 9 + 36k = 36k2 + 36k + 6 + 3 = 6 (6k2 + 6k + 1) + 3, which gives a remainder 3 when divided by 6.
Explanation as extracted from the printed page; notation may be imperfect.