If 7A425B is divisible by 36, then what is the value of A - B?
A0
B5
C1
D2
Answer:
B. 5
Read Explanation:
Solution: Calculation: Divisibility by 4: A number is divisible by 4 if the last two digits form a number that is divisible by 4. The only possible value of B that satisfies this condition is B = 2, as 52 is divisible by 4. Divisibility by 9: A number is divisible by 9 if the sum of its digits is divisible by 9. 7 + A + 4 + 2 + 5 + 2 = 20 + A For the sum 20 + A to be divisible by 9, A should be 7, as 20 + 7 = 27, which is divisible by 9. Therefore, A = 7. Now, we can calculate the value of A - B: A - B = 7 - 2 = 5. So, the value of A - B is 5. ∴ Option 2 is the correct answer.