## Bonus QUestion 28.07.09

**Suppose K be the number of integers n such that (2^n+1)/n^2 is also an integer.
Then K is
a) 0 b) 1 c) 2 d) 3 e) none of these**

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**Suppose K be the number of integers n such that (2^n+1)/n^2 is also an integer.
Then K is
a) 0 b) 1 c) 2 d) 3 e) none of these**

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Written by Implex

July 28, 2009 at 2:43 pm

Posted in Algebra, CAT 2009, Mock Cat, Mock Quant, Number Thoery, Online CAT, Problem of the week, Problems

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%d bloggers like this:

is it 1

HaritoshJuly 28, 2009 at 5:59 pm

Only two integer values of n 1 and 3 are the solutions…

Ans option c….

VishalJuly 28, 2009 at 8:22 pm

answer option C is right

RahulJuly 29, 2009 at 7:42 am

i think its e….we can have any no. of n which even.

ANKIT PANGHALAugust 10, 2009 at 10:16 am

only 1 nd 3 so c

kuldeepJuly 29, 2009 at 4:19 pm

oohh sory i got the qyestion wrong…i thought it is

(2^n+1)^n/2

ANKIT PANGHALAugust 10, 2009 at 10:18 am

Clearly n = 1 and n = 3 satisfies the condition but now we have to prove that 2^n + 1 will never be a factor of n*n for n >3.

I am clueless here ??

BalboaAugust 28, 2009 at 10:18 am

What about n=9

RaviDecember 1, 2009 at 6:17 pm

hi guys..i know its out of place but i din’t know where to post it..so i m writing it here..i have a question on probability..it goes as..

please help me solve it..n if its not the right place to ask it..tell me where should i post it..

There are 5 fruits -Banana,Apple,Orange,Pear and Mango-which are to be served among six boys.If no fruit can be served to more than one boy,find the probability that all the five fruits were served to exactly three boys such that each of the three boys gets at least one fruit.

answer choices–

1. 5/8

2. 25/54

3. 55/108

4. 175/324

5. 125/324

goodwill2December 27, 2009 at 3:46 pm

i posted the previous question..can somebody tell me where to post it

goodwill2December 28, 2009 at 4:19 pm