Question

Among the following numbers, which number is divisible by 2 but not 3?

• A. 114
• B. 142
• C. 123
• D. Cannot be determined

Answer 1

The correct option is B 142

We have to choose the number which is divisible by 2 but not by 3.

So, let us recall the divisibility rule of 2 and 3.

Divisibility rule of 2 is:
If the digit at the ones place of a number is even, the number is divisible by 2.

Divisibility rule for 3 is:
If the sum of all the digits of a number is divisible by 3, then only the number is divisible by 3.

Now, let us check the first option, 114.


Checking the divisibility for 3, we get:


Hence, 114 is divisible by both 2 and 3.
But we have to find a number which is divisible by 2 but not by 3.
∴ 114 is not the correct option.

Now, let us check the second option, 142.


Checking the divisibility for 3, we get:


Since 142 is divisible by 2 but not by 3.

∴ 142 is the correct option.

Let us check the third option, 123.


Checking the divisibility for 3, we get:


Hence, 123 is divisible by only 3 and not by 2.
∴ 123 is not the correct option.

So, out of the three numbers 114, 142 and 123, only 142 is divisible by 2 and not by 3.

∴ 142 is the correct choice.