Question : If 7A425B is divisible by 36, then what is the value of A – B?
Option 1: 0
Option 2: 5
Option 3: 1
Option 4: 2
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Correct Answer: 5
Solution :
Given Number =7A425B
For the number to be divisible by 36 it should be divisible by 4 and 9.
For the number to be divisible by 4, the last two digits "5B" should be divisible by 4.
Then the possible values of B are 2 and 6.
Now, for the number to be divisible by 9,
Sum of digits = 7 + A + 4 + 2 + 5 + B = 18 + A + B should be divisible by 9.
If B = 2, then the value of A = 7 [Since 18 + 7 + 2 = 27 is divisible by 9]
If B = 6, then the value of A = 3 [Since 18 + 3 + 6 = 27 is divisible by 9]
So, the possible values of A – B are (7 – 2) i.e. 5 or (3 – 6) i.e. – 3.
After checking the given options, we get A – B = 5
Hence, the correct answer is 5.
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