# Find the Sum of the Digit of x :

Let x be the smallest number, which when added to 2000 makes the resulting number divisible by 12,16,18 and 21. The sum of the digit of x is

- 5
- 7
- 4
- 6

**Answer is (2): 7**

**Explanation:-**Find the LCM of 12, 16, 18 and 21

Factors of 12 = 2 x 2 x 3

Factors of 16 = 2 x 2 x 2 x 2

Factors of 18 = 2 x 3 x 3

Factors of 21 = 3 x 7

Then, the LCM of 12, 16, 18 and 21 = 2 x 2 x 2 x 2 x 3 x 3 x 7

= 1008

The second multiple of 1008 = 2 x 1008

= 2016

Then, the value of X = 2016 – 2000

= 16

So, the of the digits 16 = 1 + 6

= 7

Hence, the answer is (2) 7.