Question

which of the following numbers is/
divisible by 3?
c). 10094
a). 12345
b). 67123​

Answer 1

☆ Answer -:

Test of divisibility of 3 -:

Add up all the numbers, check if the result is divisible by 3 and if yes, then the whole number is divisible by 3 too.

Checking option a -:

12345 = 1 + 2 + 3 + 4 + 5 = 15.

Thus, it is divisible by 3 since 15 is also divisible by 3.

Checking option b -:

67123 = 6 + 7 + 1 + 2 + 3 = 19.

Thus, it is not divisible by 3 since the result obtained is also not divisible by 3.

Checking option c -:

10094 = 1 + 0 + 0 + 9 + 4 = 14.

Thus, it is not divisible by 3 since the result is also not divisible by 3.

We see that only option a, that is, 12345 is divisible by 3.

So, your answer is option a -: 12345.

Hope it helps! :)

Answer 2

$\underline \mathbb{SOLUTION:-}$

$\underline \mathbb{FORMULA:-}$

Divisibility Rule of 3 : If the sum of all the digits is divisible by 3 then the whole number will be divisible by 3.

$\underline \mathbb{BY \: THE \: PROBLEM:-}$

★10094 => 1+0+0+9+4 = 14 (Not divisible by 3)

★12345 => 1+2+3+4+5 = 15 (Divisible by 3)

★67123 => 6+7+1+2+3 = 19 (Not divisible by 3)

$\underline \mathbb{ANSWER:-}$

Only 12345 is divisible by 3.