Which number is divisible by $3$ ?

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68

45

20

65

answer is B.

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Detailed Solution

We have to find, out of given options, which number is divisible by 3.
A given number is divisible by 3 if the sum of all of its digits is a multiple of 3 or divisible by 3.
For option 1,
The sum of digits of

68 = 6 + 8 = 14 .

It is clear that 14 is not a multiple of 3.
Thus, 68 cannot be divided by 3.
For option 2,
The sum of digits of

45 = 4 + 5 = 9 .

9 is therefore a multiple of 3.
Thus, 45 is divided by 3.
For option 3,
The sum of digits of 2

0 = 2 + 0 = 2 .

It is clear that 2 is not a multiple of 3.
Thus, 20 cannot be divided by 3.
For option 4,
The sum of digits of 65 = 6 + 5 = 11
11 is definitely not a multiple of 3.
Thus, 65 cannot be divided by 3.
Therefore, 45 is a number that is divisible by 3.
Hence, option 2 is correct.

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