Aptitude - Numbers - Discussion

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

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

I can't understand please explain briefly?

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

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

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.

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

I can't understand please again reply.

I can understand the problem. But is there any simplest method to solve this?

I can understand the problem. But is there any simplest method to solve this?

Please give me a basic and simple methods.