If x is a positive integer, the greatest integer by which 11x + 11x+1 + 11x+2 is always divisible is
Explanation:
Let a = 11x + 11x+1 + 11x+2
⇒ a = 11x × (1 + 111 + 112)
⇒ a = 11x × 133
Since x is a positive integer, the least value of 11x will always be a multiple of 11 and its least value will be 11.
∴ Least possible value of a = 11 × 133 = 1463
Hence, option (d).
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.