Certain 3-digit numbers have the following characteristics :
1. All the three digits are different.
2. The number is divisible by 7.
3. The number on reversing the digits is also divisible by 7.
How many such 3-digit numbers are there?
A
2
B
4
C
6
D
8
Correct Answer: Option B
Explanation
1. Let the number be 'abc' (value 100a + 10b + c) and its reverse 'cba' (value 100c + 10b + a). Both are divisible by 7.
2. Using the logic of 'Algebraic Representation' [35], the difference between the number and its revers