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Chapter 6 Number Play - Part 4

If a 3-digit number 'abc' is reversed to 'cba' (a > c), the difference (abc - cba) is always divisible by:

Type: MCQ • Marks: 1
If a 3-digit number 'abc' is reversed to 'cba' (a > c), the difference (abc - cba) is always divisible by:
Options
A. 9
B. 99
C. 11
D. Both 9 and 99
Explanation
abc - cba = (100a+10b+c) - (100c+10b+a) = 99(a - c). It is divisible by both 9 and 99.
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Class 7th Ganita Prakash 1

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