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From the following numbers $234, 346, 248, 348, 684, 580, 329, 125, 376$ . How many numbers are divisible by $6$ ?

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0

1

2

3

answer is D.

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Detailed Solution

Given numbers are

234, 346, 248, 348, 684, 580, 329, 125, 376

.
We know the divisibility rule for

6

- If the number is exactly divisible by both

2

and

3

then the given number is also divisible by

6

.
So,

2 + 3 + 4 = 9

, which is divisible by

6

and

3 + 4 + 8 = 15

which is divisible by

6

and

6 + 8 + 4 = 18

, which is divisible by

6

.
Because the last digits are ending with even number and the sum of digits of all numbers are multiple of

3

.
So, there are

3

numbers

234, 348

and

684

divisible by

6

.
Hence, the correct option is 4.

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