Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
A number when divided by 6 leaves remainder 3. When the square of the same number is divided by 6, find the remainder.
Answer
Answer (as printed):
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.