Number System
Aptitude

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Q.

A and B are playing mathematical puzzles. A asks B "which whole numbers, greater than one, can divide all the nine three digit numbers $111, 222, 333, 444, 555, 666,$ $777, 888$ and $999$?"

B immediately gave the desired answer. It was:

 A.

3, 37 and 119

 B.

3, 37 and 111

 C.

9, 37 and 111

 D.

3, 9 and 37

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Solution:
Option(B) is correct

Each of the number can be written as a multiple of 111.

The factors of 111 are 3 and 37

Thus the desired answer is 3, 37 and 111


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