Q226
A six digit number is formed by repeating a three digit number : For example, 256, 256 or 678, 678 etc. Any number of this form is always exactly divisible by -
A.
7 only
B.
11 only
C.
13 only
D.
1001 only
AnswerAnswer: Option D
Solution
Answer: Option D
Solution:
(xyz , xyz) is number⇒ 100000x + 10000y + 1000z + 100x + 10y + z
⇒ 1001 (100x + 10y + z)
Since 1001 has factors i.e., 7, 11 and 13
So, the answer is 1001