Question

5b2 is a three-digit number with b as a missing digit. if the number is divisible by 6, the missing digit is?

Answer 1

According to test of divisibility of 6, we say that a number is divisible by 6 if it is divisible by both 2 and 3.

We can see that 5b2 is divisible by 2 as according to test of divisibility of 2, a number is divisible by 2 if the units digit [2 in this case] is divisible by 2. As 2 is divisible by 2, we can say that 5b2 is divisible by 2.

According to test of divisibility of 3, the given number is divisible by 3 if the sum of the digits is a multiple of 3.

So, 5+b+2 should be a. multiple of 3. That is 7+b should. be a multiple of 3.So we take the number which is greater than 7 and a multiple of 3. We can take 9,12 and 15.

So, b can be: 9-7=2,12-7=5 or 15-7=8.

So, the number can be 522, 552 or 582.

NOTE: We should not take a multiple greater than 15 as if it is greater than 15 the difference of the number and 7 will not be a 1 digit number for b which is a must to be a 1 digit number.

Answer 2

Answer:

Step-According to test of divisibility of 6, we say that a number is divisible by 6 if it is divisible by both 2 and 3.

We can see that 5b2 is divisible by 2 as according to test of divisibility of 2, a number is divisible by 2 if the units digit [2 in this case] is divisible by 2. As 2 is divisible by 2, we can say that 5b2 is divisible by 2.

According to test of divisibility of 3, the given number is divisible by 3 if the sum of the digits is a multiple of 3.

So, 5+b+2 should be a. multiple of 3. That is 7+b should. be a multiple of 3.So we take the number which is greater than 7 and a multiple of 3. We can take 9,12 and 15.

So, b can be: 9-7=2,12-7=5 or 15-7=8.

So, the number can be 522, 552 or 582.

NOTE: We should not take a multiple greater than 15 as if it is greater than 15 the difference of the number and 7 will not be a 1 digit number for b which is a must to be a 1 digit number.by-step explanation: