Multiple Choice Questions

What is the greatest number of 4 digits which is divisible by 45 25 and 5 ........

Quantitative Aptitude (MTS) Number System

What is the greatest number of 4-digits which is divisible by 45, 25 and 5?

This questions was previously asked in

SSC MTS 21st July 2022 Shift-2

9000

9990

8900

9900

To find the greatest 4-digit number divisible by 45, 25, and 5, we need the least common multiple (LCM) of these numbers.

- 45 = 3 x 3 x 5

- 25 = 5 x 5

- 5 = 5

- LCM takes the highest power of each prime: 3² x 5² = 225

- Find the largest 4-digit number divisible by 225 by dividing 9999 by 225, which gives approximately 44.44.

- Multiply 225 by 44 to get 9900.

Therefore, the greatest 4-digit number divisible by 45, 25, and 5 is 9900 .

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