CAT Quantitative Ability Questions | CAT Number System questions
CAT/1996
Question . 154
If a number 774958A96B is to be divisible by 8 and 9, the values of A and B, respectively, will be
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Explanatory Answer
Method of solving this CAT Quantitative Ability Question from Number System question
(b) According to the question, the number is divisible by 8 and 9.
For the number to be divisible by 8, its last three digits have to be divisible by 8.
This 960 and 968 can be the possibilities.
For the number to be divisible by 9, the sum of the digits of the number should be divisible by 9.
Hence, it can be possible if B = 8 and A = 9 and if B = 0 and A = 8.
Hence, (8, 0) is the possible values of A and B.