The greatest four-digit number divisible by 15, 25, 40 and 75 is:

1. LCM(15, 25, 40, 75) = LCM of 3·5, 5², 2³·5, 3·5² = 2³·3·5² = 600. 2. Largest 4-digit multiple of 600: floor(9999/600) = 16, so 16 × 600 = 9600. 3. Therefore the answer is 9600. _Source: KMAT Karnataka 2021 PYQ Q.36_