Question

which of the given numbers is divisible by 6? A.4322 B.3122 C.2256 D.1640

Answer 1

answer is 2256

hope it helps

Answer 2

The correct answer is option (C) 2256.

GIVEN

Divisor = 6

Numbers - 4322, 3122, 2256, 1640

TO FIND

Which of the given numbers are divisible by 6

SOLUTION

We can simply solve the problem as follows-

For a number that is completely divided by another number means that the remainder is zero.

For a number to be completely divisible by 6

Such numbers are also divisible by 2 and 3.

That is,

The number is divisible by 6 if -

• The last digit is even.
• The Sum of all digits is a multiple of 3.

A. Number 4322.

The last digit of 4322 is even.

Sum of digits = 4+3+2+2 = 11

Since, 11 is not a multiple of 3,

Therefore,

4322 is not exactly divisible by 6

B. Number 3122

The last digit of 3122 is even.

the sum of digits = 3+1+2+2 = 8

Since 8 is not a multiple of 3

Therefore,

3122 is not exactly divisible by 6.

C. Number 2256

The last digit of 2256 is even

Sum of digits = 2+2+5+6 = 15

Since 15 is a multiple of 3

So, both the condition is fulfilled.

Therefore,

2256 is exactly divisible by 6.

D. Number 1640

The last digit of 1640 is even

Sum of all the digits = 1+6+4+0 = 11.

Since 11 is not a multiple of 3

Therefore,

1640 is not exactly divisible by 6.

Hence, Out Of The Given Number, The Only Number Divisible By 6 Is 2256.

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