Which of the following is the greatest four-digit number that is divisible by 15, 25, 40, and 75?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 9600.
Factors:
⇒ 15 = 3 × 5
⇒ 25 = 5 × 5
⇒ 40 = 2 × 2 × 2 × 5
⇒ 75 = 5 × 5 × 3
L.C.M = 23 × 3 × 52 = 600
The largest 4-digit number is 9999.
When 9999 is divided by 600, the remainder will be 399.
So, the required number is (9999 - 399) = 9600