Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 3)
3.
It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
(216 + 1)
(216 - 1)
(7 x 223)
(296 + 1)
Answer: Option
Explanation:

Let 232 = x. Then, (232 + 1) = (x + 1).

Let (x + 1) be completely divisible by the natural number N. Then,

(296 + 1) = [(232)3 + 1] = (x3 + 1) = (x + 1)(x2 - x + 1), which is completely divisible by N, since (x + 1) is divisible by N.

Discussion:
137 comments Page 2 of 14.

Jaiveer said:   1 decade ago
I could not understand so pls help me for full procedure

Richa said:   1 decade ago
Unable to undestand. Kindly help.

Nagaraj said:   1 decade ago
It's a simple thing;

((2^96)+1)/((2^32)+1)
=((x^3)+1)/(x+1)
=(x+1)(x^2-x+1)/(x+1); here easy to delete the (x+1);

So we get only a (x^2-x+1)as anatural number;

Karthik said:   1 decade ago
How do u directly write (2^96+1) ?

Karthi said:   1 decade ago
Give some explanations to understand clearly.

Rajan said:   1 decade ago
Please explain briefly this sum.

Jitendra said:   1 decade ago
Please help in another example similar to this.

Arun said:   1 decade ago
I understand but I want another example.

Manohar said:   1 decade ago
I cannot understand please explain again.

Mala said:   1 decade ago
Its confusing. Is there any simple methods?


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