M = abc is a three digit number and N = cba, if M > N and M - N + 396c = 990. Then how many values of M are more than 300.	Choose the correct choice from the following choices
A) 20 B) 30 C) 40 D) 200 E) None
From the given data,   abc – cba + 396c = 990   100a + 10b + c – (100c + 10b + a) + 396c = 990   99a – 99c + 396c = 990   Observe that each term is divisible by 99. So on dividing the above expression by 99, we get   a – c + 4c = 10   a + 3c = 10   For c = 1, a = 7   c = 2, a = 4   c = 3, a = 1   'b' can take any value from 0 to 9   We have to find the value of M more than 300. So minimum value of 'a' should be 4.   So total possibilities are 402, 412, ...., 492 = 10 values   701, 711, ....., 791 = 10 values   So total values = 20.   Correct option: 20
<result>A</result>
M = abc is a three digit number and N = cba, if M > N and M - N + 396c = 990. Then how many values of M are more than 300.