'abc' is a three digit number such that the ratio of the number'abc' and the number formed by reversing the digit of 'abc' is 8:3. How many such numbers are possible?
A. 2
B. 1
C. 0
D. None of these
Answer: Option D
Solution (By Examveda Team)
According to question we get following two equations,100a + 10b + c = 8k
100c + 10b + a = 3k
Subtracting second equation from first, we get, 99(a-c) = 5k
Since L.H.S has to be multiple of 5, (a-c) must be 5.
Hence, k has to be 99.
So, the only possible number will be 8*99 = 792
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