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If abc is a three-digit number where abc and cba is another three-digit number, then abc - cba is always divisible by:
Question

If abc is a three-digit number where abc and cba is another three-digit number, then abc - cba is always divisible by:

A.

13

B.

9

C.

8

D.

7

Correct option is B

 
Given:
- abc and cba are three-digit numbers, where a#c and cba is another three-digit number
Formula Used:
1. If abc is written as 100a + 10b + c and cba as 100c + 10b + a.
2. Subtracting cba from abc: abc - cba
Solution:
1. abc - cba = (100a + 10b + c) - (100c + 10b + a)
2. Simplify: = 99(a - c)
3. Since 99(a - c) is divisible by 9.
Answer: (b) 9

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