Aptitude - Numbers - Discussion

I can't understand please again reply.

Please give a simple method with which one can get answer in like just 40 secs. Please do help.

Above mentioned are totally absurd. Few of them having tried good but not upto the mark.

Now see this carefully.

We are trying to get our given no. 2^32+1 from the choices given and I tried all d choices. And atlast 2^96+1 is easily broken to get 2^32+1.

Now I take an example to explain it in detail. Since 2^32+1 is completely div by N therefore N<=2^32+1 (less than equal to).

Ex: If 4 is completely div by x then x is always less than or equal to 4.

Now take first option 2^16+1 here it will be completely div N when N<=2^16+1 but wt if N>2^16+1 since value of N is ranging from 0 to 2^32+1 so wt if N>2^16+1 then 2^16+1 is not completely div.

Since we exactly don't know value of N we are checking its range to determine.

Therefore option A is not answer. Now similarly B is not answer not.

Option D is answer because all the range of N completely divides it which is explained how by indiabix.

If you don't understand this answer just try to focus on range of N. And again see my example of 4 completely divided.

Why it will not be divisible by 2^16+1?

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

I can't understand please explain briefly?

(296 + 1) = [(232)3 + 1] = (x3 + 1) = (x + 1)(x2 - x + 1) please explain this part.

It is difficult. But if you we observe carefully we can get it. Think of it more and more.

I can't understand.

Please explain in simple method, because I'm from arts background.

Why we don't consider (x^2 - x + 1)?