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 13 of 14.

Anuj yadav said:   5 years ago
I think the formula will be 2^(n.3)+1.

Sonu said:   6 years ago
Your explanation is very complicated.

Pavi said:   2 decades ago
I cannot understand, please explain.

Nani said:   1 decade ago
Why we don't consider (x^2 - x + 1)?

Supriya Pawar said:   7 years ago
96/3 = 32 so the divisible no is 3.

Dilip said:   5 years ago
I'm not understanding this problem.
(1)

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

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

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

Anusha said:   1 decade ago
Is there any simple procedure?


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