Question : A four-digit number abba is divisible by 4 and a < b. How many such numbers are there?
Option 1: 10
Option 2: 8
Option 3: 12
Option 4: 6
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Correct Answer: 8
Solution : A four-digit number abba Divisibility Rule of 4: A number will be divisible by 4 if the last two digits of the number are divisible by 4 Here, ba should be divisible by 4 with a < b. ⇒ Possibilities: 32, 52, 72, 92, 64, 84, 96, 76 Total numbers = 8 Hence, the correct answer is 8.
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