Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
If the seven-digit number $876 p 37 q$ is divisible by 225, then the values of $p$ and $q$ respectively are
(a)0 and 0
(b)9 and 0
(c)0 and 5
(d)9 and 5
Answer
Answer (as printed): C
Explanation
225 = 9 × 25, where 9 and 25 are co-primes. So, a number is divisible by 225 if it is divisible by both 9 and 25. Given number is divisible by 25, only if 7q is divisible by 25, i.e. if q = 5. Sum of digits of given number = (8 + 7+ 6 + p + 3 + 7 + 5) = 36 + p, which must be divisible by 9. This is possible if p = 0. Hence, p = 0, q = 5.
Explanation as extracted from the printed page; notation may be imperfect.