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
Answer: Option D
Solution(By Examveda Team)
(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
This Question Belongs to Arithmetic Ability >> Number System
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Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
This types of numbers are always divisible by 7 & 13 but why we not take these option??