M is the largest 4 digit number, which when divided by 4, 5, 6 and 7 leaves remainder as 2, 3, 4, and 5 respectively. What will be the remainder when M is divided by 9?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 (i.e. 1)
4 – 2 = 2, 5 – 3 = 2, 6 – 4 = 2, 7 – 5 = 2
→ LCM of 4, 5, 6, 7 = 420
Number, M = 420k – 2
Largest for 4 – digit = 9999
420 × 23 = 9660
420 × 24 = 10080
M = 420 × 23 – 2 ⇒ 9658
Reqd. Reminder = 9658/9 = 1