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Aptitude · Q278

Number System

Competitive Exams · Aptitude · question 278

Q278

The difference of a number consisting of two digits from the number formed by interchanging the digits is always divisible by :

A.
10
B.
9
Answer
C.
11
D.
6

Answer: Option B

Solution

Answer: Option B
Solution:
Let the number = 10x + y
Interchange number = 10y + x
Difference
= 10x + y - 10y - x
= 9 (x - y)
The difference is always divisible by 9