Question

1) which three digit number less than 104 is completely divisible by 2 as well as by 3? ​

Answer 1

Answer:

102 is the answer

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Answer 2

Given,

The said number is a three digit number and it is less than 104.

The said number is divisible by both 2 and 3.

To find,

The said number.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Now, the three digit numbers which are less than 104 are : 100,101,102,103

Our required number is divisible by both 2 and 3.

We know that only even numbers are divisible by 2.

So, we can cancel out the odd numbers (101,103), as they will be not divisible by 2.

Remaining numbers : 100,102

Here, we will apply the divisibility by 3 rule, which says a number is divisible by 3, if the sum of all the digits of the given number is divisible by 3.

Checking 100 :

Sum of all of its digits = 1+0+0 = 1 (not divisible by 3)

So, 100 isn't divisible by 3.

Checking 102 :

Sum of all of its digits = 1+0+2 = 3 (divisible by 3)

So, 102 is divisible by 3.

Which means 102 is divisible by both 2 and 3. It is a three digit number and it is less than 103.

Hence, the number will be 102