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

1. 9000
2. 9400
3. 9600
4. 9800

Correct answer: 9600

Solution

The required number must be divisible by the LCM of 15, 25, 40, and 75. Their LCM is 600, and the greatest four-digit multiple of 600 is 9600. Hence the answer is 9600.

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