The 6-digit number 439xy5 is divisible by 125. How many such 6-digit numbers are there?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 4.
A number is divisible by 125 if its last 3 digits form a number divisible by 125.
The number ends with 5, so possible 3-digit multiples of 125 ending with 5 are 125, 375, 625, and 875
Each valid 3-digit number gives one pair:
(1, 2) for 125
(3, 7) for 375
(6, 2) for 625
(8, 7) for 875
Hence, there are 4 such 6-digit numbers.