Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
The sum of the digits of a 3-digit number is subtracted from the number. The resulting number is always
(a)not divisible by 9
(b)divisible by 9
(c)not divisible by 6
(d)divisible by 6
Answer
Answer (as printed): B
Explanation
Let the hundreds, tens and unit digits be x, y and z respectively. Then, (100x + 10y + z) – (x + y + z) = 99x + 9y = 9 (11x + y). So, the resulting number is divisible by 9.
Explanation as extracted from the printed page; notation may be imperfect.