Ultimate Quant Marathon Blog For IIM CAT

For All Your Quant Queries

Problem Of The Week 44

with 8 comments


FInd the number of pairs (x,y) of integers 0<x<y such that sqrt(x)+sqrt(y)=sqrt(1984)

Written by Implex

October 5, 2008 at 10:52 am

8 Responses

Subscribe to comments with RSS.

  1. 991 pairs
    1,(1983)^2 to (991)^2,(993)^2

    tyro

    October 5, 2008 at 12:02 pm

  2. pairs can be [1,1983], [2,1982]…..[1984,1]. {for sqrt {x} and sqrt{y}}
    but y>x, so, sqrt{y}>sqrt{x}. so, pairs are till before{991,991}
    hence, there are 990 pairs for root{y} and root{x} . and there fore for x and y too.

    qwerty

    October 5, 2008 at 2:28 pm

  3. sorry there was an error in question
    kindly try again !

    outtimed

    October 5, 2008 at 4:19 pm

  4. Is the answer 3?

    Amit

    October 5, 2008 at 5:16 pm

  5. yeah !! it is 3

    outtimed

    October 5, 2008 at 5:26 pm

  6. (1,7) (2,6) (3,5)
    each number in each pair multiplied by sqrt(31)

    tyro

    October 6, 2008 at 11:49 am

  7. yaar, we have to give (x,y) pairs. so there are 6 pairs.
    3 others are (7,1) ,(6,2) , (5,3). correct me if i am wrong.

    yodha

    October 20, 2008 at 3:36 pm

  8. no the answer would still be three because x must be less than y

    AL

    December 17, 2008 at 1:15 am


Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: