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 8 of 14.

Ram said:   1 decade ago
I can't understand.

Priya said:   1 decade ago
It is difficult. But if you we observe carefully we can get it. Think of it more and more.

Varsha Pathak said:   1 decade ago
(296 + 1) = [(232)3 + 1] = (x3 + 1) = (x + 1)(x2 - x + 1) please explain this part.

Ashwini said:   1 decade ago
I can't understand please explain briefly?

Dibya said:   1 decade ago
Why it will not be divisible by 2^16+1?

As if 2^32 then why not 2^16?

Pari said:   10 years ago
Please give a simple method with which one can get answer in like just 40 secs. Please do help.

Radhika said:   10 years ago
I can't understand please again reply.

Manoj said:   10 years ago
I can understand the problem. But is there any simplest method to solve this?

Manoj said:   10 years ago
I can understand the problem. But is there any simplest method to solve this?

Kapis said:   10 years ago
Please give me a basic and simple methods.


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