Question

If 2566A is divisible by 5 then what could the value of A be? *
If 2566A is divisible by 5 then what could the value of A be? *

Answer 1

Answer:

The given number is 2576a456b

To be divisible by 15, the number has to divisible by both 3 and 5.

As per divisibility rule for 5, the last digit should be 0 or 5

so b can be 0 or 5

So option B is correct.

Now we take both cases of value of b.

Case - 1: when b=0

Now the given number becomes 2576a4560

For a number to be divisible by 3, the sum of its digits should be divisible by 3.

Thus the sum of digits of this number is 35+a

For 35+a to be divisible by 3, a can be anything from 1,4,7,10....

So option C is correct.

Now Case-2: when b=5

Now the given number becomes 2576a4565

Thus the sum of digits of this number is 40+a

For 40+a to be divisible by 3, a can be anything from 2,5,8,11....

So option A is correct.