Find the absolute difference between the greatest 3-digit number and the smallest 4-digit number divisible by 12, 25, and 18.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 900.
LCM of (12, 25, and 18) = 900
HCF of (12, 25, and 18) = 1
The greatest 3-digit number = 999
The greatest 3-digit number divisible by 12, 25, and 18 = 900
The smallest 4-digit number = 1000
The smallest 4-digit number divisible by 12, 25, and 18 = 900 × 2 = 1800
So, the required difference = 1800 - 900 = 900