Question

The greatest five digit number exactly divisible by 9 and 13 is
(a) 99945
(b) 99918
(c) 99964
(d) 99972

Answer 1

LCM of 9 and 13 = 9 × 13 = 117
Largest 5-digit number is 99999
Now, if we divide 99999 by 117, we will get 854.69 as quotient.
The integer just less than 854.69 is 854
∴ Required number = 117 × 854 = 99918
Hence, the correct answer is option (b).