2021 · Q78
The smallest number which when added to 10000 becomes divisible by 20, 24 and 30 is
general-mental-abilityquantitative-aptitude
- A120
- B800
- C80
- D83
Explanation
A number divisible by 20, 24 and 30 must be a multiple of their LCM, which is 120. Dividing 10000 by 120 gives 83 with a remainder of 40, so the next multiple is 84 x 120 = 10080. The smallest number to add is 10080 − 10000 = 80. Hence option C is correct.