Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
What are the values of M and N respectively if M39048458N is divisible by both 8 and 11, where M and N are single-digit integers?
Answer
Answer (as printed):
Explanation
Since the given number is divisible by 8, it is obvious that the number formed by the last three digits, i.e. 58N is divisible by 8, which is possible only when N = 4. Now, (sum of digits at even places) – (sum of digits at odd places) = (8 + 4 + 4 + 9 + M) – (4 + 5 + 8 + 0 + 3) = (25 + M) – 20 = M + 5, which must be divisible by 11. So, M = 6. Hence, M = 6, N = 4.
Explanation as extracted from the printed page; notation may be imperfect.