Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
Which of the following numbers is divisible by 99?
(a)114345
(b)913464
(c)135792
(d)3572404
Answer
Answer (as printed): A
Explanation
We have, 99 = (11 × 9), where 11 and 9 are co-primes. Consider the number 114345. Clearly, (5 + 3 + 1) – (4 + 4 + 1) = 0. So, 114345 is divisible by 11. Also, sum of its digits = (1 + 1 + 4 + 3 + 4 + 5) = 18, which is divisible by 9. \ 114345 is divisible by 9. Hence, it is divisible by (11 × 9), i.e. 99.
Explanation as extracted from the printed page; notation may be imperfect.