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ascent4cat · 2IIM Prep for IIM's CAT 2010

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#3134 From: "amolgaonkar777" <amolgaonkar777@...>
Date: Sun Aug 12, 2007 12:49 pm
Subject: A doubt on P&C (quants)
amolgaonkar777
Send Email Send Email
 
hey heres a prb on P & C
There r 4 pens each a diff color & 4 caps each a diff color,but ,same
of 1 of d pens.In how many ways can these caps be put on the pens so
dat a cap doesnot go 2 pen of same color?
.....plz xplain d method

#3135 From: sharan kumar <rsharankumar@...>
Date: Sun Aug 12, 2007 11:31 am
Subject: Help me solving these problems !
rsharankumar
Send Email Send Email
 
RATIO -PROPOTION -VARIATION


1)The mean propotional between two number is 12.The third propotional of the same numbers is

96.. Find the greater of the two numbers.

(a)18        (b)24        (c)12        (d)none


2)The value of a diamond varies directly with the square of its weight.. The diamond breaks

into three pieces whose weights are in the ratio 32:24:9.the loss caused due to the breakage

is Rs 25.44 lakhs.Find the value of the unbroken diamond..


NUMBERS


1) If y(y>=4) is an even natural number and x=y^2-2y, then the largest number that always

divides (x^2-8x) is

2) If the number 2484x36y is divisible by 36. find the minimum value of x-y..



GEOMENTRY

1)The sum of the perimeter of two circles which touch each other externally is 176 cm. what

is the ratio of the radius of the larger circle to that of the smaller circle. if the sum of

the square of hte  radii of hte circles is 400 sq. cm...

2) ABCD is a trapezium , in which AD and BC r parallel. If the four sides Ab,BC,CD, DA  are

respectively 9 cm,12 cm, 15cm, and 20 cm. Find the magnitude of the sum of the squares of

the two diagonal...




~ sharan


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#3136 From: sudhir kumar <sudhirpadala@...>
Date: Tue Aug 14, 2007 4:51 pm
Subject: Re: [2IIM CAT Prep] an alternative approach
sudhirpadala
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351^n = (350 + 1) ^n = nc0.(350)^n.(1)^0 + nc1.(350)^(n-1).(1)1...........ncn.(350)^0.(1)^n
 
All the terms in the expression except for the last are divisible by 7. So irrespective of the number n 351^n gives a remainder of 1.
 
Similarly
 
352^n = (350 + 2) ^n = nc0.(350)^n.(2)^0 + nc1.(350)^(n-1).(2)1...........ncn.(350)^0.(2)^n
 
Here when 352^n is divided by 7 the remainder is 2^n. So when n= 3 the remainder is 8, which when further divided by 7 leaves a remainder of 1.
 
Therefore the answer is 3 or multiples of 3.

svijaysagar <svijaysagar@...> wrote:
This is about a question listed in the website question bank:

Question
For what value of 'n' will the remainder of 351^n and 352^n be the
same when divided by 7?

(1) 2
(2) 3
(3) 6
(4) 4

Correct Choice is (2) and the Correct Answer is 3

----------------------------------------------------------
----------

Explanatory Answer

When 351 is divided by 7, the remainder is 1.

When 352 is divided by 7, the remainder is 2.

Let us look at answer choice (1), n = 2

When 3512 is divided by 7, the remainder will be 12 = 1.

When 3522 is divided by 7, the remainder will be 22 = 4.

So when n = 2, the remainders are different.

When n = 3,

When 3513 is divided by 7, the remainder will be 13 = 1.

When 3523 is divided by 7, the remainder will be 23 = 8.

As 8 is greater than 7, divide 8 again by 7, the new remainder is 1.

So when n = 3, both 351n and 352n will have the same remainder when
divided by 7.

==========================================================

Alternative approach:

(a ± b)² = a² ± 2ab + b²

(a ± b)³ = a³ ± 3a²b + 3ab² ± b³

(a ± b)4 = a4 ± 4a³b + 6a²b² ± 4ab³ + b4

so the qsn boils down to "For what value of 'n' will the remainder of
1^n and 2^n be the same when divided by 7?", (since 350 is divisible
by 7). Hence ans is n=3.



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#3137 From: mahathi chitta <mkc_princess79@...>
Date: Thu Aug 16, 2007 5:49 pm
Subject: Re: [2IIM CAT Prep] please solve it !!!!!!!!!!!!
mkc_princess79
Send Email Send Email
 
hi
i hope this may help u...but 'm not sure whether this is d easiest way out..nyways
when u put x=y=0..this gives eqn whose solution is f(0)= 0 or 2
as its already stated that its not 0..it is 2;
 
 
x=y
[ {f(x)}^2-2] =f(2x) ... * (I)
 
n
y=1
f(x+1)+f(x-1) =3f(x).... *(II)
 
 
f(1) = 3
f(2) = f(1)^2 - 2 =7                     .......  by I
f(3) = 3f(2) - f(1) = 18                 .......  by II
f(4) =  7^2  -  2= 47                   ......   by I
f(6) =  18^2 - 2 = 322                 ......   by I
f(8) =  47^2 - 2 = 2207               .......  by I
f(7) = 1/3 * (322 +2207) = 843   ......... by II
 
hence these are my solutions...correct me if i'm wrong..
MKC


YES <avdheshtomar@...> wrote:
Dear all,
 
Could someone help me out in solving this problem-
 
Let "f" be a function defined on the set of integers. Assume that "f" satisfies the following properties-
 
f(0) ¹ 0
f(1) = 3
f(x) f(y) = f(x+y) + f(x-y)
 
for all integers x & y.
 
Q. What is the value of  f(3)
      Options are 7, 18, 123, 322 & none of these.
 
Q. What is the value of f(7)
     Options are 123, 322, 843, 1126 & none of these.
 
Please tell me the best way to solve such kind of questions.
 
Thanks in advance.
 
regards,
 
Avdhesh.
 

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#3138 From: "Vimalesh babu" <kmvimalesh@...>
Date: Fri Aug 17, 2007 10:42 am
Subject: Re: [2IIM CAT Prep] How to find the last two digits in a multiplication.
kmvimalesh
Send Email Send Email
 
Hello All,
           For finding the last two digits(in the multiplication of 2 digit nos) or three digits(in the multiplication of 3 digit nos)...
           Following the method called "Vertically and crosswise".

For example,

  multiplying 2 digit nos
56*98

     first multiply  6*8=(4)8.

then multiply the nos cross wise  and add them along with carry 6*9  +  5*8 + 4=54+40+4=(9)8 .
then multiply vertically 5*9 =45+9 =54

answer 5488.

In the method mentioned above you carry out multiplication and addition simultaneously.So you can minimise the no of multiplication when you are only bothered with last digits/three digits etc.

now take these nos 34*55*32*43*35*53

34*55 =     70

32*43 =      76

35 *53=      35


76*35 =      60

60*70 =      00


These method applies to all two digits nos.Check it..

Now find last three digits in 543534534*435435345*534534534*345234234.

It is simple and it ll not take more than a minute.
     

 

#3139 From: Balaji soundrarajan <balaji_r_s2003@...>
Date: Mon Aug 20, 2007 9:26 am
Subject: Re: [2IIM CAT Prep] query regarding a Sentence Corr question
balaji_r_s2003
Send Email Send Email
 
the reason behind the answer D , i presume is not because of the use of the word 'them'.
 
I think it is because the phrase "they are growing and are seldom in equilibrium" refers to the small businesses , so this pharse should be immediately followed by the small businesses which the phrase rightly qualifies.
 
If anything wrong, please correct it.


"dipkin.chitkara" <dipkin.chitkara@...> wrote:
Question
Formulas for cash flow and the ratio of debt to equity do not apply to new small businesses in the same way as they do to established big businesses, because they are growing and are seldom in equilibrium.
Choices as follows
(A) Formulas for cash flow and the ratio of debt to equity do not apply to new small businesses in the same way as they do to established big businesses, because they are growing and are seldom in equilibrium.
(B) Because they are growing and are seldom in equilibrium, formulas for cash flow and the ratio of debt to equity do not apply to new small businesses in the same way as they do to established big businesses.
(C) Because they are growing and are seldom in equilibrium, new small businesses are not subject to the same applicability of formulas for cash flow and the ratio of debt to equity as established big businesses.
(D) Because new small businesses are growing and are seldom in equilibrium, formulas for cash flow and the ratio of debt to equity do not apply to them in the same way as to established big businesses.
(E) New small businesses are not subject to the applicability of formulas for cash flow and the ratio of debt to equity in the same way as established big businesses, because they are growing and are seldom in equilibrium.
D is the right answer, however I don't understand how in D choice "new small businesses" in "Because new small businesses are growing and are seldom in equilibrium" is the object to justify that the usage of pronoun "them"? or how can we justify the use of "them" here?


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#3140 From: "vaibhav_0817" <vaibhav_0817@...>
Date: Mon Aug 20, 2007 3:31 pm
Subject: number system
vaibhav_0817
Send Email Send Email
 
how many natural numbers less than 1700 can be expressed as the
difference of the two perfect squares in atleast one way.
a.)1174
b.)1274
c.)1374
d.)974

#3141 From: amit das <amit_das10@...>
Date: Fri Aug 24, 2007 6:13 am
Subject: RE: [Ascent CAT] A Good Question like a catquant
amit_das10
Send Email Send Email
 
hello boss,

           you might be very happy as u thought the answer you have found is the right answer but for ur kind information that cannot be the right one as i have the solved part of this .

Ravi_Matcha <ravi_matcha@...> wrote:
Hi there,
 
 
We get,
 
By pythogoras th., 6^2 + X^2 = 10^2
=> X = 8 ft
 
so total area the cattle can graze is ( 3/4 * (22/7) * 8 * 8 ) + (1/4 * 22/7 * 3 * 3)  + ( 1/4 *22/7 * 5 * 5)
 
Please tell me if i am wrong. Thanks in advance.
 
Regards,
Ravi

From: ascent4cat@yahoogroups.com [mailto:ascent4cat@yahoogroups.com] On Behalf Of Goel
Sent: Thursday, July 27, 2006 10:40 AM
To: ascent4cat@yahoogroups.com
Subject: [Ascent CAT] A Good Question like a catquant

Hello Dept:
As it is my first mail to Ascent, I named it Hello Dept. Ok,
giving you a puzzle. There is a solid pillar in a grass field of
dimensions 5 feet length, 3 feet width having some height. A person
comes and ties a cattle by a rope of 10 feet length with a hook
hanging at an edge of pillar 6 feet high of the ground. Tell me the
area of grass land this cattle can graze at max.

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This email (including any attachments) is intended for the sole use of the intended recipient/s and may contain material that is CONFIDENTIAL AND PRIVATE COMPANY INFORMATION. Any review or reliance by others or copying or distribution or forwarding of any or all of the contents in this message is STRICTLY PROHIBITED. If you are not the intended recipient, please contact the sender by email and delete all copies; your cooperation in this regard is appreciated..




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#3142 From: surabhi dwivedi <dwivedi_surabhi@...>
Date: Tue Sep 11, 2007 12:44 pm
Subject: Help to prepare for JMET
dwivedi_surabhi
Send Email Send Email
 
Hello Everyone

Can anyone help me How to prepare for JMET??

----- Original Message ----
From: amit das <amit_das10@...>
To: ascent4cat@yahoogroups.com
Sent: Friday, 24 August, 2007 11:43:18 AM
Subject: [2IIM CAT Prep] RE: [Ascent CAT] A Good Question like a catquant

hello boss,

           you might be very happy as u thought the answer you have found is the right answer but for ur kind information that cannot be the right one as i have the solved part of this .

Ravi_Matcha <ravi_matcha@ satyam.com> wrote:

Hi there,
 
 
We get,
 
By pythogoras th., 6^2 + X^2 = 10^2
=> X = 8 ft
 
so total area the cattle can graze is ( 3/4 * (22/7) * 8 * 8 ) + (1/4 * 22/7 * 3 * 3)  + ( 1/4 *22/7 * 5 * 5)
 
Please tell me if i am wrong. Thanks in advance.
 
Regards,
Ravi

From: ascent4cat@yahoogro ups.com [mailto:ascent4cat@ yahoogroups. com] On Behalf Of Goel
Sent: Thursday, July 27, 2006 10:40 AM
To: ascent4cat@yahoogro ups.com
Subject: [Ascent CAT] A Good Question like a catquant

Hello Dept:
As it is my first mail to Ascent, I named it Hello Dept. Ok,
giving you a puzzle. There is a solid pillar in a grass field of
dimensions 5 feet length, 3 feet width having some height. A person
comes and ties a cattle by a rope of 10 feet length with a hook
hanging at an edge of pillar 6 feet high of the ground. Tell me the
area of grass land this cattle can graze at max.

DISCLAIMER:
This email (including any attachments) is intended for the sole use of the intended recipient/s and may contain material that is CONFIDENTIAL AND PRIVATE COMPANY INFORMATION. Any review or reliance by others or copying or distribution or forwarding of any or all of the contents in this message is STRICTLY PROHIBITED. If you are not the intended recipient, please contact the sender by email and delete all copies; your cooperation in this regard is appreciated. .




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#3143 From: Kunal_Naik <kunal_naik@...>
Date: Mon Sep 10, 2007 12:26 pm
Subject: RE: [2IIM CAT Prep] A doubt on P&C (quants)
kunal_an
Send Email Send Email
 

P(a cap does not go 2 pen of same color) = 1 – P(all caps go 2 pens of respective color) = 1 – 1 / 4! = 23/24

 

Regards,

Kunal Naik.


From: ascent4cat@yahoogroups.com [mailto:ascent4cat@yahoogroups.com] On Behalf Of amolgaonkar777
Sent: Sunday, August 12, 2007 6:19 PM
To: ascent4cat@yahoogroups.com
Subject: [2IIM CAT Prep] A doubt on P&C (quants)

 

hey heres a prb on P & C
There r 4 pens each a diff color & 4 caps each a diff color,but ,same
of 1 of d pens.In how many ways can these caps be put on the pens so
dat a cap doesnot go 2 pen of same color?
.....plz xplain d method

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#3144 From: "anamika06ec" <anamika06ec@...>
Date: Mon Sep 10, 2007 12:18 pm
Subject: Re: an alternative approach
anamika06ec
Send Email Send Email
 
--- In ascent4cat@yahoogroups.com, "svijaysagar" <svijaysagar@...>
wrote:
>
> This is about a question listed in the website question bank:
>
> Question
> For what value of 'n' will the remainder of 351^n and 352^n be the
> same when divided by 7?
>
> (1) 2
> (2) 3
> (3) 6
> (4) 4
>
> Correct Choice is (2) and the Correct Answer is 3
>
>
> --------------------------------------------------------------------
--
                  thanks for this.
      pleaz tell me about the  basic funda to solve this type of
question.
> ----------
>
> Explanatory Answer
>
> When 351 is divided by 7, the remainder is 1.
>
> When 352 is divided by 7, the remainder is 2.
>
> Let us look at answer choice (1), n = 2
>
> When 3512 is divided by 7, the remainder will be 12 = 1.
>
> When 3522 is divided by 7, the remainder will be 22 = 4.
>
> So when n = 2, the remainders are different.
>
> When n = 3,
>
> When 3513 is divided by 7, the remainder will be 13 = 1.
>
> When 3523 is divided by 7, the remainder will be 23 = 8.
>
> As 8 is greater than 7, divide 8 again by 7, the new remainder is 1.
>
> So when n = 3, both 351n and 352n will have the same remainder when
> divided by 7.
>
>
> ==========================================================
>
> Alternative approach:
>
> (a ± b)² = a² ± 2ab + b²
>
> (a ± b)³ = a³ ± 3a²b + 3ab² ± b³
>
> (a ± b)4 = a4 ± 4a³b + 6a²b² ± 4ab³ + b4
>
> so the qsn boils down to "For what value of 'n' will the remainder
of
> 1^n and 2^n be the same when divided by 7?", (since 350 is
divisible
> by 7). Hence ans is n=3.
>

#3145 From: sunil nagtilak <jan_sunil@...>
Date: Mon Sep 10, 2007 10:09 am
Subject: Re: [2IIM CAT Prep] Help me solving these problems ! (Geometry question no.1)
jan_sunil
Send Email Send Email
 
GEOMENTRY

1)The sum of the perimeter of two circles which touch each other externally is 176 cm. what

is the ratio of the radius of the larger circle to that of the smaller circle. if the sum of

the square of hte  radii of hte circles is 400 sq. cm...
 
Let it be r1,r2
so given is 2*pi*(r1+r2) = 176, put pi=22/7, we get r1+r2=28
now, r1^2+r2^2 = 400, so r1=12 and r2=16, which satisfy both the conditions.
So answer is 16/12 i.e. 4/3.
 
Answer to Rest will follow soon..


sharan kumar <rsharankumar@...> wrote:


GEOMENTRY

1)The sum of the perimeter of two circles which touch each other externally is 176 cm. what

is the ratio of the radius of the larger circle to that of the smaller circle. if the sum of

the square of hte  radii of hte circles is 400 sq. cm...
.



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#3146 From: imran 182007 <imran182007@...>
Date: Mon Sep 10, 2007 1:02 pm
Subject: (No subject)
imran182007
Send Email Send Email
 
can any one tell me CAT06 que no 25 with explantation?i'm in great confusion!plz help me.


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#3147 From: "PIJUSH KANTI DAS" <pijushdas@...>
Date: Mon Sep 10, 2007 8:30 am
Subject: Re: [2IIM CAT Prep] How to find the last two digits in a multiplication.
pijush_jucon
Send Email Send Email
 
Can u please determine the remainder , when 32^32^32 is divided by 9 ?... please give a lil descriptive solution...
This problem is there in Arun Sharma... 

 
On 7/19/07, kapil malhotra <kapil_malhotra2006@...> wrote:

Hi Arvind:
 
Could you send me the complete solution of the question that you have written So that it could become clear to me
 
Warm Regards
Kapil 

arvind <arvindmillenium2k@yahoo.co.in> wrote:
Hi! Sri
a quick word with you..how have you allocated time for different sections which would appear in cat..am kind of finding it difficult 2 toggle b/w different sections on a daily basis...how r u managing time Sri


srikant_ramesan <srikantr@...> wrote:
Hi all,
I regularly come across problems where we have to find the last two
digits in a large multiplication or in a very large number. Is there
any way to go about this. To find the last digit is simple but how
about the last two. I know that if there are enough 2's and 5's the
last two digits usually end up being 00, but apart from that any other
methods.
For eg, take this question.
What is the last two digits of : 15*37*63*51*97*17
options are : a) 35
b) 45
c) 55
d) 85
and the ans is 35

 


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#3148 From: Kunal_Naik <kunal_naik@...>
Date: Mon Sep 10, 2007 5:00 am
Subject: RE: [2IIM CAT Prep] please solve it !!!!!!!!!!!!
kunal_an
Send Email Send Email
 

My approach is as follows:

 

F(1,0) è f(1)*f(0) = f(1+0) + f(1-0)

            3*f(0) = 2*3 è f(0) = 2

 

F(1,1) è f(1)*f(1) = f(1+1) + f(1-1)

            3*3 = f(2) + 2 è f(2) = 7

 

F(2,1) è f(2)*f(1) = f(2+1) + f(2-1)

            7*3 = f(3) + 3 è f(3) = 18

 

F(2,2) è f(2) * f(2) = f(2+2) + f(2-2)

            7*7 = f(4) + 2     è f(4) = 47

 

F(4,3) è f(4) * f(3) = f(4+3) + f(4-3)

            47*18 = f(7) + 3 è f(7) = 843

 

Regards,

Kunal Naik.


From: ascent4cat@yahoogroups.com [mailto:ascent4cat@yahoogroups.com] On Behalf Of mahathi chitta
Sent: Thursday, August 16, 2007 11:20 PM
To: ascent4cat@yahoogroups.com
Subject: Re: [2IIM CAT Prep] please solve it !!!!!!!!!!!!

 

hi

i hope this may help u...but 'm not sure whether this is d easiest way out..nyways

when u put x=y=0..this gives eqn whose solution is f(0)= 0 or 2

as its already stated that its not 0..it is 2;

 

 

x=y

[ {f(x)}^2-2] =f(2x) ... * (I)

 

n

y=1

f(x+1)+f(x-1) =3f(x).... *(II)

 

 

f(1) = 3

f(2) = f(1)^2 - 2 =7                     .......  by I

f(3) = 3f(2) - f(1) = 18                 .......  by II

f(4) =  7^2  -  2= 47                   ......   by I

f(6) =  18^2 - 2 = 322                 ......   by I

f(8) =  47^2 - 2 = 2207               .......  by I

f(7) = 1/3 * (322 +2207) = 843   ......... by II

 

hence these are my solutions...correct me if i'm wrong..

MKC



YES <avdheshtomar@yahoo.co.in> wrote:

Dear all,

 

Could someone help me out in solving this problem-

 

Let "f" be a function defined on the set of integers. Assume that "f" satisfies the following properties-

 

f(0) ¹ 0

f(1) = 3

f(x) f(y) = f(x+y) + f(x-y)

 

for all integers x & y.

 

Q. What is the value of  f(3)

      Options are 7, 18, 123, 322 & none of these.

 

Q. What is the value of f(7)

     Options are 123, 322, 843, 1126 & none of these.

 

Please tell me the best way to solve such kind of questions.

 

Thanks in advance.

 

regards,

 

Avdhesh.

 


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#3149 From: "gedam sv" <gedamsv@...>
Date: Sat Sep 8, 2007 7:59 pm
Subject: RE: [2IIM CAT Prep] query regarding a Sentence Corr question
gedams
Send Email Send Email
 

Hi all,

       In the beneath given problem, Ambiguity exists between the phrase “They are growing & are seldom in equilibrium” & the subject to which it refers. All except option D have the same flaw.

 Regards..

 Santosh

 

-----Original Message-----
From: ascent4cat@yahoogroups.com [mailto:ascent4cat@yahoogroups.com]On Behalf Of Balaji soundrarajan
Sent: Monday, August 20, 2007 2:56 PM
To: ascent4cat@yahoogroups.com
Subject: Re: [2IIM CAT Prep] query regarding a Sentence Corr question

 

the reason behind the answer D , i presume is not because of the use of the word 'them'.

 

I think it is because the phrase "they are growing and are seldom in equilibrium" refers to the small businesses , so this pharse should be immediately followed by the small businesses which the phrase rightly qualifies.

 

If anything wrong, please correct it.



"dipkin.chitkara" <dipkin.chitkara@yahoo.com> wrote:

Question

Formulas for cash flow and the ratio of debt to equity do not apply to new small businesses in the same way as they do to established big businesses, because they are growing and are seldom in equilibrium.

Choices as follows

(A) Formulas for cash flow and the ratio of debt to equity do not apply to new small businesses in the same way as they do to established big businesses, because they are growing and are seldom in equilibrium.

(B) Because they are growing and are seldom in equilibrium, formulas for cash flow and the ratio of debt to equity do not apply to new small businesses in the same way as they do to established big businesses.

(C) Because they are growing and are seldom in equilibrium, new small businesses are not subject to the same applicability of formulas for cash flow and the ratio of debt to equity as established big businesses.

(D) Because new small businesses are growing and are seldom in equilibrium, formulas for cash flow and the ratio of debt to equity do not apply to them in the same way as to established big businesses.

(E) New small businesses are not subject to the applicability of formulas for cash flow and the ratio of debt to equity in the same way as established big businesses, because they are growing and are seldom in equilibrium.

D is the right answer, however I don't understand how in D choice "new small businesses" in "Because new small businesses are growing and are seldom in equilibrium" is the object to justify that the usage of pronoun "them"? or how can we justify the use of "them" here?

 

 


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#3150 From: meda vijendharreddy <medavijju@...>
Date: Sat Sep 8, 2007 4:55 pm
Subject: Re: [2IIM CAT Prep] A doubt on P&C (quants)
medavijju
Send Email Send Email
 
This is a derangement problem. If you have read the
derangement principle, the formula is
n!(1-1/1!+1/2!-1/3! ---- + (-1)n )
answer is 9

http://en.wikipedia.org/wiki/Derangement



--- amolgaonkar777 <amolgaonkar777@...>
wrote:

> hey heres a prb on P & C
> There r 4 pens each a diff color & 4 caps each a
> diff color,but ,same
> of 1 of d pens.In how many ways can these caps be
> put on the pens so
> dat a cap doesnot go 2 pen of same color?
> .....plz xplain d method
>
>


-----
Thanks
Vijen


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#3151 From: NANDAKUMAR SETHURAMAN <nanda_mech83@...>
Date: Sat Sep 8, 2007 6:52 am
Subject: Re: [2IIM CAT Prep] Help me solving these problems !
nanda_mech83
Send Email Send Email
 
Hi,
 
i could ans 2 ques out of ur 6 ques..
pls check whether they r write....
 
numbers
 
1.2484 X 36 Y should be divisible by 36...
 
for this the condition is the no should be divisible by 2,3,8&9..
when X =0 & Y=0, the number is perfectly divisible by all the above.
 
 
so the ans is X = Y = 0.
 
Geometry
 
1. given the sum of radius sq = 400. let us consider the radius of 1st circl as X and 2nd circle as Y, X as the radius of the larger circle.
 
so X^2 + Y^2 = 400.
 
also sum of perimeter of circle is given as 176.
 
so ( 2 x ( 22 / 7) x X  )+ ( 2 x (22/7) x Y ) = 176.
so solving for X & Y, we get X as 16 or 12 & Y as 16 & 12.
 
since X is larger, take X as 16, so we'l get Y as 12..
 
ratio becomes 4 : 3 
 
 
pls reply whether this is right...
 
nanda
 
 


sharan kumar <rsharankumar@...> wrote:
RATIO -PROPOTION -VARIATION


1)The mean propotional between two number is 12.The third propotional of the same numbers is

96.. Find the greater of the two numbers.

(a)18        (b)24        (c)12        (d)none


2)The value of a diamond varies directly with the square of its weight.. The diamond breaks

into three pieces whose weights are in the ratio 32:24:9.the loss caused due to the breakage

is Rs 25.44 lakhs.Find the value of the unbroken diamond..


NUMBERS


1) If y(y>=4) is an even natural number and x=y^2-2y, then the largest number that always

divides (x^2-8x) is

2) If the number 2484x36y is divisible by 36. find the minimum value of x-y..



GEOMENTRY

1)The sum of the perimeter of two circles which touch each other externally is 176 cm. what

is the ratio of the radius of the larger circle to that of the smaller circle. if the sum of

the square of hte  radii of hte circles is 400 sq. cm...

2) ABCD is a trapezium , in which AD and BC r parallel. If the four sides Ab,BC,CD, DA  are

respectively 9 cm,12 cm, 15cm, and 20 cm. Find the magnitude of the sum of the squares of

the two diagonal...




~ sharan

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#3152 From: arun kumar <innocent_exile84@...>
Date: Mon Aug 27, 2007 8:45 am
Subject: clock problem
innocent_exi...
Send Email Send Email
 
Hi ..

I have a problem.
Is there any formula to solve clock problem ?
e.g.
How many times hour hand passes minute hand within some time .. say between 3:08 pm to 3:20 pm OR vice versa OR 1:20 pm to 11:20 pm ...
like that ?

Please tell me how to solve this kinda problem.

Thanks a lot

Regards
-Arun Kumar


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#3153 From: "sansweets_12" <sansweets_12@...>
Date: Thu Aug 30, 2007 10:47 am
Subject: Re: [Ascent CAT] Is there an age limit for taking CAT
sansweets_12
Send Email Send Email
 
--- In ascent4cat@yahoogroups.com, vandan joshi
<vandan_joshi2002@...> wrote:
>
> Hi to all,
>                There is no age limit for eligible in cat but only
u required is bachlor degree with minimum of 50 % marks.
>
>   Vandan
>
> Rohit <rohit@...> wrote:
>             You need to be over 18.
>     ----- Original Message -----
>   From: pinkynov
>   To: ascent4cat@yahoogroups.com
>   Sent: Thursday, May 03, 2007 1:39 PM
>   Subject: [Ascent CAT] Is there an age limit for taking CAT
>
>
>     Hi All,
> I would like to know is there any age limit for taking cat exam as
well
> as for joining MBA.
> Please let me know
> Thanks
> Vidya
>
>
> TO JOIN MBA THOUGH CAT .THE AGE LIMIT IS 45 YEARS
>   THAKING U
> SANTOSH
>
>
>
> ---------------------------------
> Get the free Yahoo! toolbar and rest assured with the added
security of spyware protection.
>

#3154 From: jayanth krishnan <krishjay_25@...>
Date: Fri Aug 31, 2007 10:43 am
Subject: doubts regarding CAT exam and its preparation
krishjay_25
Send Email Send Email
 
Hello,
            I wanty to know the clear details regarding the CAT preparation plz give me clear details regarding the CAT.I want to write CAT exam on 2008.What is CAT exam really?How it will be conducted?What are the questions and the model of the paper?
           Plz kindly give me detailed reply regarding this?
                              Thank you very much.
                                                                                  Yours ,
                                                                                Jayanth.


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#3155 From: chandan <chandan_3542@...>
Date: Fri Aug 31, 2007 11:19 am
Subject: Re: [2IIM CAT Prep] Re: How to find the last two digits in a multiplication.
chandan_3542
Send Email Send Email
 
hi vimlesh,
in the solution provided by u how did u obtain the nos. 25,24,74 in the last steps.?? please explain..


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#3156 From: "ganbhalobeshegan" <nilanjana.pradhan@...>
Date: Tue Sep 4, 2007 4:24 pm
Subject: chicken problem
ganbhalobesh...
Send Email Send Email
 
Husband says  if  we sell 75 chickens they can feed for 20 days more
and wife says if they buy 100 chickens more then they will finish up
the feed 15 days earlier so what is number of chickens they have.

#3157 From: "shi_gupta2003" <shi_gupta2003@...>
Date: Sat Sep 1, 2007 2:46 am
Subject: pls inform about the latest forms..
shi_gupta2003
Send Email Send Email
 
hi everybody..
this is shivangi gupta..
pls if anyone has a information of the new forms cuming out this
month..pls tell me..
i will be greatful ........
thanks..

#3158 From: b suresh <norules4dude@...>
Date: Sat Sep 8, 2007 6:37 am
Subject: Re: [2IIM CAT Prep] query regarding a Sentence Corr question
norules4dude
Send Email Send Email
 
use of 'them' in this case is correct. the reason is, the statement discusses about only one thing i.e., established big businesses. it would be incorrect if it discusses about more than 1 thng.
hope it helps.
 

Suresh. B
norules4dude@...
norules4dude@...



 



----- Original Message ----
From: Balaji soundrarajan <balaji_r_s2003@...>
To: ascent4cat@yahoogroups.com
Sent: Monday, August 20, 2007 2:56:05 PM
Subject: Re: [2IIM CAT Prep] query regarding a Sentence Corr question

the reason behind the answer D , i presume is not because of the use of the word 'them'.
 
I think it is because the phrase "they are growing and are seldom in equilibrium" refers to the small businesses , so this pharse should be immediately followed by the small businesses which the phrase rightly qualifies.
 
If anything wrong, please correct it.


"dipkin.chitkara" <dipkin.chitkara@ yahoo.com> wrote:
Question
Formulas for cash flow and the ratio of debt to equity do not apply to new small businesses in the same way as they do to established big businesses, because they are growing and are seldom in equilibrium.
Choices as follows
(A) Formulas for cash flow and the ratio of debt to equity do not apply to new small businesses in the same way as they do to established big businesses, because they are growing and are seldom in equilibrium.
(B) Because they are growing and are seldom in equilibrium, formulas for cash flow and the ratio of debt to equity do not apply to new small businesses in the same way as they do to established big businesses.
(C) Because they are growing and are seldom in equilibrium, new small businesses are not subject to the same applicability of formulas for cash flow and the ratio of debt to equity as established big businesses.
(D) Because new small businesses are growing and are seldom in equilibrium, formulas for cash flow and the ratio of debt to equity do not apply to them in the same way as to established big businesses.
(E) New small businesses are not subject to the applicability of formulas for cash flow and the ratio of debt to equity in the same way as established big businesses, because they are growing and are seldom in equilibrium.
D is the right answer, however I don't understand how in D choice "new small businesses" in "Because new small businesses are growing and are seldom in equilibrium" is the object to justify that the usage of pronoun "them"? or how can we justify the use of "them" here?


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#3159 From: Arpit gupta <arpitgupta@...>
Date: Thu Sep 13, 2007 7:40 am
Subject: Re: [2IIM CAT Prep] Help me solving these problems !
arpitgupta
Send Email Send Email
 
Hi Nanda,

Referring to the solution given by you for the number's prob. I've have certain doubts.

1) Y have you said for the number to be divisible by 36 it has to be divisible by 8 too. It is not necessary (I guess) Or is it??

2) Consider the case where y=8 and x=1 ( since no relation between x and y is given). this pair will also satisfy the conditions.
    and in this case value of x-y will be -7. So minimum value will be -7 not 0.

--
Thanks & Regards,
ARPIT GUPTA


----- Original Message ----
From: NANDAKUMAR SETHURAMAN <nanda_mech83@...>
To: ascent4cat@yahoogroups.com
Sent: Saturday, 8 September, 2007 12:22:00 PM
Subject: Re: [2IIM CAT Prep] Help me solving these problems !

Hi,
 
i could ans 2 ques out of ur 6 ques..
pls check whether they r write....
 
numbers
 
1.2484 X 36 Y should be divisible by 36...
 
for this the condition is the no should be divisible by 2,3,8&9..
when X =0 & Y=0, the number is perfectly divisible by all the above.
 
 
so the ans is X = Y = 0.
 
Geometry
 
1. given the sum of radius sq = 400. let us consider the radius of 1st circl as X and 2nd circle as Y, X as the radius of the larger circle.
 
so X^2 + Y^2 = 400.
 
also sum of perimeter of circle is given as 176.
 
so ( 2 x ( 22 / 7) x X  )+ ( 2 x (22/7) x Y ) = 176.
so solving for X & Y, we get X as 16 or 12 & Y as 16 & 12.
 
since X is larger, take X as 16, so we'l get Y as 12..
 
ratio becomes 4 : 3 
 
 
pls reply whether this is right...
 
nanda
 
 


sharan kumar <rsharankumar@ yahoo.co. in> wrote:
RATIO -PROPOTION -VARIATION


1)The mean propotional between two number is 12.The third propotional of the same numbers is

96.. Find the greater of the two numbers.

(a)18        (b)24        (c)12        (d)none


2)The value of a diamond varies directly with the square of its weight.. The diamond breaks

into three pieces whose weights are in the ratio 32:24:9.the loss caused due to the breakage

is Rs 25.44 lakhs.Find the value of the unbroken diamond..


NUMBERS


1) If y(y>=4) is an even natural number and x=y^2-2y, then the largest number that always

divides (x^2-8x) is

2) If the number 2484x36y is divisible by 36. find the minimum value of x-y..



GEOMENTRY

1)The sum of the perimeter of two circles which touch each other externally is 176 cm. what

is the ratio of the radius of the larger circle to that of the smaller circle. if the sum of

the square of hte  radii of hte circles is 400 sq. cm...

2) ABCD is a trapezium , in which AD and BC r parallel. If the four sides Ab,BC,CD, DA  are

respectively 9 cm,12 cm, 15cm, and 20 cm. Find the magnitude of the sum of the squares of

the two diagonal...




~ sharan

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#3160 From: sunil singla <sunil_singla2004@...>
Date: Thu Sep 13, 2007 6:24 am
Subject: Re: [2IIM CAT Prep] How to find the last two digits in a multiplication.
sunil_singla...
Send Email Send Email
 
the answer of 32^32^32divided by 9 the remainder ll be 4
 
soln:::::
            the remainder when 32 is divisible by 9 is 5
         so remainder is    5^(32*32*32................32 times)
         so it is   (5^32)^(32*32*32*........31 times)
         and remainder of 5^2 is 7
           and remainder of 7^2 is 4
and 4^2 is 7
and 7^2 is 4
and 4^2 is 7
 
so finally   5^32  is 7
and the remainder is (7^32)^(32*32*32*.............30 times)
and now it is (4^32)^(32*32*..........29 times)
so now remainder is (7^32)^(32*32*..........28 times) and so on
 
 
so finally we get 4 as remainder that is the answer
 
 
 
    
          
 
 

 


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#3161 From: anand kumar <anand_mech02@...>
Date: Thu Sep 13, 2007 6:45 am
Subject: Re: [2IIM CAT Prep] Help me solving these problems !
anand_mech02
Send Email Send Email
 
Please check the answers in blue

NANDAKUMAR SETHURAMAN <nanda_mech83@...> wrote:
Hi,
 
i could ans 2 ques out of ur 6 ques..
pls check whether they r write....
 
numbers
 
1.2484 X 36 Y should be divisible by 36...
 
for this the condition is the no should be divisible by 2,3,8&9..
when X =0 & Y=0, the number is perfectly divisible by all the above.
 
 
so the ans is X = Y = 0.
 
Geometry
 
1. given the sum of radius sq = 400. let us consider the radius of 1st circl as X and 2nd circle as Y, X as the radius of the larger circle.
 
so X^2 + Y^2 = 400.
 
also sum of perimeter of circle is given as 176.
 
so ( 2 x ( 22 / 7) x X  )+ ( 2 x (22/7) x Y ) = 176.
so solving for X & Y, we get X as 16 or 12 & Y as 16 & 12.
 
since X is larger, take X as 16, so we'l get Y as 12..
 
ratio becomes 4 : 3 
 
 
pls reply whether this is right...
 
nanda
 
 


sharan kumar <rsharankumar@yahoo.co.in> wrote:
RATIO -PROPOTION -VARIATION


1)The mean propotional between two number is 12.The third propotional of the same numbers is

96.. Find the greater of the two numbers.

(a)18        (b)24        (c)12        (d)none

The two numbers are 6 and 24. So the greater no is 24.
2)The value of a diamond varies directly with the square of its weight.. The diamond breaks

into three pieces whose weights are in the ratio 32:24:9.the loss caused due to the breakage

is Rs 25.44 lakhs.Find the value of the unbroken diamond..
 
Value of the unbroken diamond is 42.25 lakhs.


NUMBERS


1) If y(y>=4) is an even natural number and x=y^2-2y, then the largest number that always

divides (x^2-8x) is
The largest no that always divides the expression is 16.
2) If the number 2484x36y is divisible by 36. find the minimum value of x-y..

Minimum value of x-y is zero.

GEOMENTRY

1)The sum of the perimeter of two circles which touch each other externally is 176 cm. what

is the ratio of the radius of the larger circle to that of the smaller circle. if the sum of

the square of hte  radii of hte circles is 400 sq. cm...
The two radius value will be 16 and 12. Hence the ration stands at 4:3.

2) ABCD is a trapezium , in which AD and BC r parallel. If the four sides Ab,BC,CD, DA  are

respectively 9 cm,12 cm, 15cm, and 20 cm. Find the magnitude of the sum of the squares of

the two diagonal...

The answer is786.


~ sharan

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Regards:
Anand Kumar
Applied Materials India Pvt.Ltd.
I.T.P.B., Whitefield Road
Bangalore-56
09886984043


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#3162 From: "Hiren Ruchandani" <hiren.ruchandani@...>
Date: Thu Sep 13, 2007 8:30 am
Subject: Re: [2IIM CAT Prep] How to find the last two digits in a multiplication.
ihav2manysec...
Send Email Send Email
 
32 = 2^5

32^3 = (2^5)^3 = 8^5 = (9-1)^5 = 9N + (-1)^5 = 9N - 1    [using binomial theroem... eg (a+1)^3 = a[a2+3a + 3] + a^3 ]

( 9N - 1 ) /9 leaves remainder -1 which is 9 - 1 = 8

On 9/10/07, PIJUSH KANTI DAS <pijushdas@...> wrote:

Can u please determine the remainder , when 32^32^32 is divided by 9 ?... please give a lil descriptive solution...
This problem is there in Arun Sharma... 

 
On 7/19/07, kapil malhotra <kapil_malhotra2006@... > wrote:

Hi Arvind:
 
Could you send me the complete solution of the question that you have written So that it could become clear to me
 
Warm Regards
Kapil 

arvind <arvindmillenium2k@yahoo.co.in> wrote:
Hi! Sri
a quick word with you..how have you allocated time for different sections which would appear in cat..am kind of finding it difficult 2 toggle b/w different sections on a daily basis...how r u managing time Sri


srikant_ramesan <srikantr@...> wrote:
Hi all,
I regularly come across problems where we have to find the last two
digits in a large multiplication or in a very large number. Is there
any way to go about this. To find the last digit is simple but how
about the last two. I know that if there are enough 2's and 5's the
last two digits usually end up being 00, but apart from that any other
methods.
For eg, take this question.
What is the last two digits of : 15*37*63*51*97*17
options are : a) 35
b) 45
c) 55
d) 85
and the ans is 35

 


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--
------------------------------------------------------------
Hiren Ruchandani
BTech - Computer Science (2004 - 2008)
Amity School of Engineering, NOIDA
http://hirenruchandani.110mb.com
------------------------------------------------------------

#3163 From: pushkar singh <singhpushkar26@...>
Date: Fri Sep 14, 2007 11:45 am
Subject: Surabhi - Help to prepare for JMET
singhpushkar26
Send Email Send Email
 
Hey Surabhi ..
 
Kinda can help u from my first hand experience ..
 
1. Paper will have tough quant section, especially when u have only 2 hours for the paper.
 
2. Verbal is sought of easy, as cmpared to CAT is a cakewalk, hence the scoring part.
 
3. DI too forms the easy part....
 
Conclusions -
 
Its not possible to do much of maths. So there are precisley two things that can be done - Attempt less of it jst to clear cut offs or the max u can attempt without wasting mch of ur time. And the second some of the very tough questions can be solved by putting answers in the question itself. So i would say ideally , keep 20 min for maths... and keep hopping to search easy questions. that would help u to fetch about 8-10 questions.
 
For Verbal and DI, i would say last year DI was the easiest, and i attempted in the last... So, have a look at the start. If their a re lots of graphs etal, jump to DI first. But u have to fast with your calculations.
 
Verbal too was easy, infact these two were scoring.
Rest of the time u can distribute equally in both of these sections.
 
 hope this gives u a strategy to work on.
 
 
-Pushkar


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