Question

A number is divided by 2,3,4,5,6 reminder in each case is one. But the number is exactly divisible by 7. The number lies between 250 and 350, the sum of digits of the number will be

Answer 1

Answer:

Step-by-step explanation:

Multiples of 7 between 250 and 350:

251, 258, 265, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336, 343

The number just less than multiple if 7 must be multiple of all from 1 to 6.

For it, we have to find LCM of no.s from 1 to 6

On finding we get 60 as LCM

Therefore, the number just before multiple of 7 is multiple of 60

Multiples of 60: 60,120,180,240,300,360,etc.

Therefore by seeing we get that number as 300.

Now you can clearly see that sum of digits= 3+0+0=3