Question
Download Solution PDFA four-digits number abba is divisible by 4 and a < b. How many such numbers are there?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
If the last 2 digits of any number divisible by 4, then the number is divisible by 4
Calculation:
According to the question, the numbers are
2332, 2552, 4664, 2772, 6776, 4884, 2992, and 6996
So, there are 8 such numbers in the form abba, divisible by 4
∴ The correct answer is 8
Mistake Points
If you are considering an example ending with 20,
then, 'abba' will be '0220', and 0220 is not a four-digit number.
Similarly in the case of the example ending with 40,60,80.
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