**Divisibility by 6 questions :**

Here we are going to see some practice questions on divisibility by 6.

Now let us see how to check the whether the give number is divisible by 6 or not. If a number is divisible by 2 and 3, it is divisible by 6. All the even numbers are divisible by 2. To check whether it is divisible by 3, we have to find the sum of the digits.

Hence all even numbers divisible by 3 are divisible by 6.

(1) Test whether 5832 is divisible by 6 ?

(2) Check whether 1082 is divisible by 6.

(A) Yes (B) No (C) cannot decide

(3) Check whether 1996 is divisible by 6.

(A) No (B) Yes (C) cannot decide

(4) Check whether 1638 is divisible by 6.

(5) 2345_ this number is divisible by 6. Fill in the blank with any following suitable digit.

(A) 6 (B) 4 (C) 1

(6) Which of the following number is not divisible by 6.

(A) 216 (B) 126 (C) 103

**Question 1 :**

Test whether 5832 is divisible by 6 ?

**Solution :**

Now we need to check whether the number 5832 is divisible by 6 or not.

Since the given number is even, it is divisible by 2.

Now we need to check whether it is divisible by 3 or not for that we need to calculate the sum of the digits 5 + 8 + 3 + 2 = 18 .It is divisible by 3.

From this we can decide that 5832 is divisible by 6.

**Question 2 :**

Check whether 1082 is divisible by 6.

**Solution :**

Since the given number is even, it is divisible by 2. Now let us check whether it is divisible by 3.

1 + 0 + 8 + 2 = 11 (not divisible by 3).

Hence 1082 is not divisible by 6.

**Question 3 :**

Check whether 1996 is divisible by 6.

**Solution :**

Since the given number is even, it is divisible by 2. Now let us check whether it is divisible by 3.

1 + 9 + 9 + 6 = 25 (not divisible by 3).

Hence 1996 is not divisible by 6.

**Question 4 :**

Check whether 1638 is divisible by 6.

**Solution :**

Since the given number is even, it is divisible by 2. Now let us check whether it is divisible by 3.

1 + 6 + 3 + 8 = 19 (divisible by 3).

Hence 1638 is divisible by 6.

**Question 5 :**

2345_ this number is divisible by 6. Fill in the blank with any following suitable digit.

**Solution :**

If we write the number 6 in the blank space, we will get an even number 23456.

Since it is even number, it is divisible by 2.

2 + 3 + 4 + 5 + 6 = 20 (not divisible by 3)

If we write the number 4 in the blank space, we will get an even number 23454.

Since it is even number, it is divisible by 2.

2 + 3 + 4 + 5 + 4 = 18 (Divisible by 3)

**Question 6 :**

Which of the following number is not divisible by 6.

**Solution :**

Since 216 and 126 are even, it is divisible by 2.

By calculating the sum of the digits, we get

2 + 1 + 6 = 9 (divisible by 3)

1 + 2 + 6 = 9 (divisible by 3)

After having gone through the stuff given above, we hope that the students would have understood "Divisibility by 6 questions"

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