Ultimate Quant Marathon Blog For IIM CAT

For All Your Quant Queries

Bonus QUestion 28.07.09

with 7 comments

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

Possibly related posts: (automatically generated)

Written by Rahul

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

«
»

7 Responses

Subscribe to comments with RSS.

  1. is it 1

    Haritosh

    July 28, 2009 at 5:59 pm

    Reply

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

    Ans option c….

    Vishal

    July 28, 2009 at 8:22 pm

    Reply

  3. answer option C is right

    Rahul

    July 29, 2009 at 7:42 am

    Reply

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

      ANKIT PANGHAL

      August 10, 2009 at 10:16 am

      Reply

  4. only 1 nd 3 so c

    kuldeep

    July 29, 2009 at 4:19 pm

    Reply

  5. oohh sory i got the qyestion wrong…i thought it is
    (2^n+1)^n/2

    ANKIT PANGHAL

    August 10, 2009 at 10:18 am

    Reply

  6. 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 ??

    Balboa

    August 28, 2009 at 10:18 am

    Reply

Leave a Reply