N is the largest two digit number, which when divided by 3, 4 and 6 leaves the remainder 1, 2 and 4 respectively. What is the remainder when N is divided by 5?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 4.
Negative remainder = 1 - 3 = -2
= 2 - 4 = -2
= 4 - 6 = -2
N = LCM(3, 4, 6) - 2
= 12 × k = -2
= k = 8
⇒ 12 × 8 - 2 = 99
= 94/5
= 4 (remainder)