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CAT 2007: Quantitative Questions a Day 1 to 50 - The discussions
Quantitative Questions and Answers Discuss Quantitative and other Math related questions. Post your math doubts and get it solved by the smartest brains this side of the universe !

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Re: CAT 2007: Quantitative Questions a Day 1 to 50 - The discussions - 16-04-2007, 09:25 AM

my options a n d
for x<1 x=3-m
for 1<x<2 x=m-1
for 2<x<4 x=5-m
for 4<x x=m+3
then i put d values of m

m=n @ m=3
m/n=6/2 @ m=6 ::::::: i ddi wrong sth.. 6/2 is not 3/2
m=n-1 @ m=2

for m=3/5 *n
n has to be a multiple of 5 , but max no of solutuions can be 4.. so this is not possible

i tried for m=5,10,15,20 but could not get n=3/5*m


my ans choice chnage to a c and d

Last edited by richa bhatia; 16-04-2007 at 09:30 AM.
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Re: CAT 2007: Quantitative Questions a Day 1 to 50 - The discussions - 16-04-2007, 10:01 AM

Solution ::
x>= 4 ------ > m>= 1 and x =m+3
2<=x<=4 ---> 1<=m<=3 and x =5-m
1<=x<=2 ------> 2<=m<=3 and x= m-1
x<=1 ------> m>= 2 and x=3-m

n could be 0,1,2,3,4.
From here we can deduce :: m<1 => n=0
m=1 => n=1
1<m<2 or 3<m => n=2
m=2 or m=3 => n=3
2<m<3 => n=4
So we get answer (c).
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Re: CAT 2007: Quantitative Questions a Day 1 to 50 - The discussions - 16-04-2007, 10:08 AM

Hi All,

So once again have to start with QQAD...Unlucky chap...Huh...

Now coming to the question...

I feels the answer has to be

a>

As I don't see five solutions or its multiples ever possible in such a graph...

What do you say guys???
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Re: CAT 2007: Quantitative Questions a Day 1 to 50 - The discussions - 16-04-2007, 10:14 AM

I think the answer is (e).

The relation between m & n is as below

MN00112233435262

The only possible option that can never be true is 'e' (i.e. m-n = -1)

It definitely took more than 5 mins to tabulate values and come to a conclusion. Looking forward to see others solution.
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Re: CAT 2007: Quantitative Questions a Day 1 to 50 - The discussions - 16-04-2007, 10:28 AM

Quote:
Originally Posted by krsh.vik View Post
answer is c m/n=3/2
for the four intervals (-inf,1)[1,2)[2,4)[4,inf)
values of x are 3-m,m-1,5-m,3+m
for m=6/5 n=2
m=2 n=3
m=1 n=1
m=10/3 n =2
hence c is the answer
I go with your solution, buddy.

It is (C) for me also.

pc
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Re: CAT 2007: Quantitative Questions a Day 1 to 50 - The discussions - 16-04-2007, 10:59 AM

Perfect solutions out there krsh.vik and Apple. Yeah, prof_calculus you are right too :-) Try solving this through graphical method also. I believe, you all will appreciate the fact that the approach is more important than the answer. If getting the answer was the only aim, so many questions you can see from here and there and solve. I will just say, avoid the mindset right now that the question is to solved in 2 minute or 3 minutes. We toil hard to give you a perfect question each day so that your takeaway from QQAD is maximum.

I will just quote what Allan Border once famously said ... "Follow excellence and everthing else will follow you". Learn as much through right ways/methods, you will score marks when it actually matters.


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Re: CAT 2007: Quantitative Questions a Day 1 to 50 - The discussions - 16-04-2007, 11:12 AM

my take is (a)
cant c hw n=5. acc to me the max value n can take is 4.

Last edited by gmat_delhi2007; 16-04-2007 at 11:18 AM.
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Re: CAT 2007: Quantitative Questions a Day 1 to 50 - The discussions - 16-04-2007, 11:15 AM

Quote:
Originally Posted by vineet.nitd View Post
I am not commenting on ur ans at this moment .

For which values of m , n takes max. value ?

n is max(=3) for m=2,3. is it not vineet?

my answer is (c).


Only the divine can help me through now !

Last edited by chubbles_k; 16-04-2007 at 11:17 AM.
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Re: CAT 2007: Quantitative Questions a Day 1 to 50 - The discussions - 16-04-2007, 11:33 AM

Quote:
Originally Posted by chubbles_k View Post
n is max(=3) for m=2,3. is it not vineet?
No , look for value of n for 3>m>2 .



@folks .. Would luv if you come out with a graphical solution for this one.Almost all attempts right or wrong have the same approach till now.

krish and PC you are right . Apple has got the foolproof solution


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Last edited by vineet.nitd; 16-04-2007 at 11:46 AM.
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Re: CAT 2007: Quantitative Questions a Day 1 to 50 - The discussions - 16-04-2007, 11:34 AM

I am getting c as the answer.

m/n =3/2 .

Did this using graphs.
For m=1 n=1
For m=2 n=3
For m=10/3 n=2
For m=6/5 n=2

Only left out is m/n=3/2
Hence c is the answer.


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