## Re: [ascent CAT] Doubts

Expand Messages
• this is the answer for the second question in this mail Answer ... since raju has to put atleaast 120 oranges in one box.. the remaining boxes are 128-1 = 127
Message 1 of 4 , Jun 12, 2003
this is the answer for the second question in this mail

---------
since raju has to put atleaast 120 oranges in one box.. the remaining boxes are 128-1 = 127  and remaining oranges are 144-120 = 24
so he has to put 24 oranges in 127 boxes so that least no. of boxes have same number of  oranges...
so he puts one ornage each in 24 boxes .. ( to maximise the filling of the boxes..) so 103 boxes have 0 oranges in them

Had the question been find the " maximum " number of boxes that have same number of oranges.. then
raju can put 120 oranges in one box and all remaining  24 oranges in one box . so max number will be 126

have a good day
bye
srinivas

----- Original Message -----
Sent: Thursday, June 12, 2003 2:42 PM
Subject: [ascent CAT] Doubts

Hi All,

I wud be glad if someone can explain the problems below.

A set of consecutive positive integers beginning with 1 is written
on the blackboard. A student came along and erased one number. The
average of the remaining numbers is 35 7/17(35 + 7/17) . What was the number erased?
(a) 7
(b)8
(c) 9
(d) None of these

Raju has 128 boxes with him. He has to put atleast 120 oranges
in one box and 144 at the most. Find the least number of boxes which will
have the same number of oranges.
(a) 5
(b) 103
(c) 6
(d) Cannot be determined

Regards,
Rajlaxmi

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• I am afraid the soln provided below is wrong. Answer is of course 103 Soln- since he fills in 120 oranges in one box,remaining box=127.Raju can fill upto 144
Message 2 of 4 , Jun 26, 2003
I am afraid the soln provided below is wrong.

Soln-
since he fills in 120 oranges in one box,remaining box=127.Raju can fill upto 144 oranges per box but with least number of boxes with same no of oranges.So he can fill in 24 of the rest 127 boxes with 121,122,123...144 oranges.So the least no of boxes with same no of oranges would be 127-24=103.

Regards,
Vimala

-----Original Message-----
From: srinivas [mailto:srinu001@...]
Sent: Thursday, June 12, 2003 6:02 PM
To: ascent4cat@yahoogroups.com
Cc: cat@...
Subject: Re: [ascent CAT] Doubts

this is the answer for the second question in this mail

---------
since raju has to put atleaast 120 oranges in one box.. the remaining boxes are 128-1 = 127  and remaining oranges are 144-120 = 24
so he has to put 24 oranges in 127 boxes so that least no. of boxes have same number of  oranges...
so he puts one ornage each in 24 boxes .. ( to maximise the filling of the boxes..) so 103 boxes have 0 oranges in them

Had the question been find the " maximum " number of boxes that have same number of oranges.. then
raju can put 120 oranges in one box and all remaining  24 oranges in one box . so max number will be 126

have a good day
bye
srinivas

----- Original Message -----
Sent: Thursday, June 12, 2003 2:42 PM
Subject: [ascent CAT] Doubts

Hi All,

I wud be glad if someone can explain the problems below.

A set of consecutive positive integers beginning with 1 is written
on the blackboard. A student came along and erased one number. The
average of the remaining numbers is 35 7/17(35 + 7/17) . What was the number erased?
(a) 7
(b)8
(c) 9
(d) None of these

Raju has 128 boxes with him. He has to put atleast 120 oranges
in one box and 144 at the most. Find the least number of boxes which will
have the same number of oranges.
(a) 5
(b) 103
(c) 6
(d) Cannot be determined

Regards,
Rajlaxmi

--
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Class for CAT, XAT, GRE, GMAT
http://www.ascenteducation.com

Archives of past CAT questions can be viewed at http://www.ascenteducation.com/india-mba/iim/cat/questionbank/questionbank.shtml

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An IIM Alumni Venture
Class for CAT, XAT, GRE, GMAT
http://www.ascenteducation.com

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• U ALL R INTERPRETING THE QUESTION WRONG its never mentioned in the question that number of oranges is 144. All that is mentioned is that in any of the boxes u
Message 3 of 4 , Jul 9, 2003
U ALL R INTERPRETING THE QUESTION WRONG
its never mentioned in the question that number of oranges is 144. All
that is mentioned is that in any of the boxes u can put any number of
oranges between 120 and 144 i.e. in 25 ways.
so the least number is [128/25] = 5
start putting different number of oranges in boxes.
120,121,....... 144 : 25 boxes
120,121,....... 144 : 25 boxes
120,121,....... 144 : 25 boxes
120,121,....... 144 : 25 boxes
120,121,....... 144 : 25 boxes
x1,x2,x3 : 3 boxes

hence the lease number of boxes having same number of oranges is 5.

On Thu, 26 Jun 2003 17:54:07 +0530, "Vimala Veluchamy , Tidel Park -
Chennai" <vimalav@...> said:
> I am afraid the soln provided below is wrong.
>
> Answer is of course 103
> Soln-
> since he fills in 120 oranges in one box,remaining box=127.Raju can fill
> upto 144 oranges per box but with least number of boxes with same no of
> oranges.So he can fill in 24 of the rest 127 boxes with 121,122,123...144
> oranges.So the least no of boxes with same no of oranges would be
> 127-24=103.
>
> Regards,
> Vimala
>
>
> -----Original Message-----
> From: srinivas [mailto:srinu001@...]
> Sent: Thursday, June 12, 2003 6:02 PM
> To: ascent4cat@yahoogroups.com
> Cc: cat@...
> Subject: Re: [ascent CAT] Doubts
>
>
> this is the answer for the second question in this mail
>
> ---------
> since raju has to put atleaast 120 oranges in one box.. the remaining
> boxes
> are 128-1 = 127 and remaining oranges are 144-120 = 24
> so he has to put 24 oranges in 127 boxes so that least no. of boxes have
> same number of oranges...
> so he puts one ornage each in 24 boxes .. ( to maximise the filling of
> the
> boxes..) so 103 boxes have 0 oranges in them
>
> Had the question been find the " maximum " number of boxes that have same
> number of oranges.. then
> raju can put 120 oranges in one box and all remaining 24 oranges in one
> box
> . so max number will be 126
>
> have a good day
> bye
> srinivas
>
>
>
> ----- Original Message -----
> From: Rajlaxmi Shivram <mailto:rajlaxmi@...>
> To: ascent4cat@yahoogroups.com <mailto:ascent4cat@yahoogroups.com>
> Cc: cat@... <mailto:cat@...>
> Sent: Thursday, June 12, 2003 2:42 PM
> Subject: [ascent CAT] Doubts
>
> Hi All,
>
> I wud be glad if someone can explain the problems below.
>
> A set of consecutive positive integers beginning with 1 is written
> on the blackboard. A student came along and erased one number. The
> average of the remaining numbers is 35 7/17(35 + 7/17) . What was the
> number
> erased?
> (a) 7
> (b)8
> (c) 9
> (d) None of these
>
>
>
> Raju has 128 boxes with him. He has to put atleast 120 oranges
> in one box and 144 at the most. Find the least number of boxes which will
> have the same number of oranges.
> (a) 5
> (b) 103
> (c) 6
> (d) Cannot be determined
>
> Regards,
> Rajlaxmi
>
> --
> ______________________________________________
> http://www.linuxmail.org/ <http://www.linuxmail.org/>
> Now with e-mail forwarding for only US\$5.95/yr
>
>
>
>
> Ascent Education
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> Class for CAT, XAT, GRE, GMAT
> http://www.ascenteducation.com <http://www.ascenteducation.com>
>
> Archives of past CAT questions can be viewed at
> http://www.ascenteducation.com/india-mba/iim/cat/questionbank/questionbank.s
> html
> <http://www.ascenteducation.com/india-mba/iim/cat/questionbank/questionbank.
> shtml>
>
> To unsubscribe from this group, send an email to:
> ascent4cat-unsubscribe@yahoogroups.com
>
>
>
> <http://docs.yahoo.com/info/terms/> .
>
>
>
>
>
> <http://rd.yahoo.com/M=244522.3313099.4604523.1261774/D=egroupweb/S=17050000
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>
> Ascent Education
> An IIM Alumni Venture
> Class for CAT, XAT, GRE, GMAT
> http://www.ascenteducation.com <http://www.ascenteducation.com>
>
> Archives of past CAT questions can be viewed at
> http://www.ascenteducation.com/india-mba/iim/cat/questionbank/questionbank.s
> html
> <http://www.ascenteducation.com/india-mba/iim/cat/questionbank/questionbank.
> shtml>
>
> To unsubscribe from this group, send an email to:
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>
--
Avinash
avinashkumar@...

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• u r almost right...but its not 5, rather 6...in your own solution, what values will x1, x2, x3 take. it will surely be something between 120 & 144...hence the
Message 4 of 4 , Jul 9, 2003
u r almost right...but its not 5, rather 6...in your own solution, what values will x1, x2, x3 take. it will surely be something between 120 & 144...hence the least possible number of boxes having the same number of oranges will be 6...not 5
-prashant
--

--------- Original Message ---------
DATE: Wed, 09 Jul 2003 00:52:37
From: "Avinash" <avinashkumar@...>
To: ascent4cat@yahoogroups.com
Cc:

U ALL R INTERPRETING THE QUESTION WRONG
its never mentioned in the question that number of oranges is 144. All
that is mentioned is that in any of the boxes u can put any number of
oranges between 120 and 144 i.e. in 25 ways.
so the least number is [128/25] = 5
start putting different number of oranges in boxes.
120,121,....... 144 : 25 boxes
120,121,....... 144 : 25 boxes
120,121,....... 144 : 25 boxes
120,121,....... 144 : 25 boxes
120,121,....... 144 : 25 boxes
x1,x2,x3 : 3 boxes

hence the lease number of boxes having same number of oranges is 5.

On Thu, 26 Jun 2003 17:54:07 +0530, "Vimala Veluchamy , Tidel Park -
Chennai" <vimalav@...> said:
> I am afraid the soln provided below is wrong.
>
> Answer is of course 103
> Soln-
> since he fills in 120 oranges in one box,remaining box=127.Raju can fill
> upto 144 oranges per box but with least number of boxes with same no of
> oranges.So he can fill in 24 of the rest 127 boxes with 121,122,123...144
> oranges.So the least no of boxes with same no of oranges would be
> 127-24=103.
>
> Regards,
> Vimala
>
>
> -----Original Message-----
> From: srinivas [mailto:srinu001@...]
> Sent: Thursday, June 12, 2003 6:02 PM
> To: ascent4cat@yahoogroups.com
> Cc: cat@...
> Subject: Re: [ascent CAT] Doubts
>
>
> this is the answer for the second question in this mail
>
> ---------
> since raju has to put atleaast 120 oranges in one box.. the remaining
> boxes
> are 128-1 = 127 and remaining oranges are 144-120 = 24
> so he has to put 24 oranges in 127 boxes so that least no. of boxes have
> same number of oranges...
> so he puts one ornage each in 24 boxes .. ( to maximise the filling of
> the
> boxes..) so 103 boxes have 0 oranges in them
>
> Had the question been find the " maximum " number of boxes that have same
> number of oranges.. then
> raju can put 120 oranges in one box and all remaining 24 oranges in one
> box
> . so max number will be 126
>
> have a good day
> bye
> srinivas
>
>
>
> ----- Original Message -----
> From: Rajlaxmi Shivram <mailto:rajlaxmi@...>
> To: ascent4cat@yahoogroups.com <mailto:ascent4cat@yahoogroups.com>
> Cc: cat@... <mailto:cat@...>
> Sent: Thursday, June 12, 2003 2:42 PM
> Subject: [ascent CAT] Doubts
>
> Hi All,
>
> I wud be glad if someone can explain the problems below.
>
> A set of consecutive positive integers beginning with 1 is written
> on the blackboard. A student came along and erased one number. The
> average of the remaining numbers is 35 7/17(35 + 7/17) . What was the
> number
> erased?
> (a) 7
> (b)8
> (c) 9
> (d) None of these
>
>
>
> Raju has 128 boxes with him. He has to put atleast 120 oranges
> in one box and 144 at the most. Find the least number of boxes which will
> have the same number of oranges.
> (a) 5
> (b) 103
> (c) 6
> (d) Cannot be determined
>
> Regards,
> Rajlaxmi
>
> --
> ______________________________________________
> http://www.linuxmail.org/ <http://www.linuxmail.org/>
> Now with e-mail forwarding for only US\$5.95/yr
>
>
>
>
> Ascent Education
> An IIM Alumni Venture
> Class for CAT, XAT, GRE, GMAT
> http://www.ascenteducation.com <http://www.ascenteducation.com>
>
> Archives of past CAT questions can be viewed at
> http://www.ascenteducation.com/india-mba/iim/cat/questionbank/questionbank.s
> html
> <http://www.ascenteducation.com/india-mba/iim/cat/questionbank/questionbank.
> shtml>
>
> To unsubscribe from this group, send an email to:
> ascent4cat-unsubscribe@yahoogroups.com
>
>
>
> <http://docs.yahoo.com/info/terms/> .
>
>
>
>
>
> <http://rd.yahoo.com/M=244522.3313099.4604523.1261774/D=egroupweb/S=17050000
> 03:HM/A=1595053/R=0/SIG=124orar12/*http://ashnin.com/clk/muryutaitakenattogy
>
> l/S=:HM/A=1595053/rand=554669109>
>
> Ascent Education
> An IIM Alumni Venture
> Class for CAT, XAT, GRE, GMAT
> http://www.ascenteducation.com <http://www.ascenteducation.com>
>
> Archives of past CAT questions can be viewed at
> http://www.ascenteducation.com/india-mba/iim/cat/questionbank/questionbank.s
> html
> <http://www.ascenteducation.com/india-mba/iim/cat/questionbank/questionbank.
> shtml>
>
> To unsubscribe from this group, send an email to:
> ascent4cat-unsubscribe@yahoogroups.com
>
>
>
> <http://docs.yahoo.com/info/terms/> .
>
>
--
Avinash
avinashkumar@...

--
http://www.fastmail.fm - One of many happy users:
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Ascent Education
An IIM Alumni Venture
Class for CAT, XAT, GRE, GMAT
http://www.ascenteducation.com

Archives of past CAT questions can be viewed at http://www.ascenteducation.com/india-mba/iim/cat/questionbank/questionbank.shtml

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