The smallest number which when added to 10000 becomes divisible by 20 24 and 30 is ........

Quantitative Aptitude( Paper-I ) Number System

The smallest number which when added to 10000 becomes divisible by 20, 24 and 30 is

This questions was previously asked in

CAPF 2021 Paper-1

120

800

- To find the smallest number to add to 10000 to make it divisible by 20, 24, and 30, first calculate the LCM of these numbers.

- LCM of 20, 24, and 30 = 120.

- Find the remainder when 10000 is divided by 120.

- 10000 ÷ 120 = 83 remainder 40.

- So, 10000 = 120 × 83 + 40.

- Smallest number to add is 120 - 40 = 80.

Options explained:

- Option:1, 120 – This is the LCM, not the required remainder.

- Option:2, 800 – Much larger than needed.

- Option:3, 80 – This is correct. Adding 80 will make 10080, which is divisible by all three.

- Option:4, 83 – Not the right remainder.

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