if 25776a456b is divisible by 15. Then find possible values of a, b (both are digits).
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Step-by-step explanation:
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....
I hope this helps to you !!!
cs.
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