ascent4cat : Messages : 3664-3693 of 3693

I can give this hint...

Extend AB and CD to meet at E. triangle BCE is equilateral ar its all 3 angles r
60 degrees.side is 4/3 each.
Now AE=4+(4/3)nd CD=5+4/3.angle AED=60degree.
Calculate area of triangle nd subtract it w/ area of BCD to get area of quadri.

All The Best,
Girish Hegde

--- In ascent4cat@yahoogroups.com, Rajeev kumar <rajeev2mail@...> wrote:
>
> 33.
> Let
> ABCD be a quadrilateral such that angle ABC = angle BCD = 120 , and AB
> = 3 BC = 4 and CD = 5 , then area of quadrilateral ABCD is
> a) 57
> b) 67
> c) 87
> d) (47 )/4
>
>
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>

#3692

From: Sanjay Kumar Patel <cenzer2@...>
Date: Wed Nov 18, 2009 1:24 pm
Subject: Certain CAT ques

cenzer2

Offline

Hi, This question is a bit tuff.. please tell me how to solve this

Ques : There are a certain no of pages in a book, "A" tore a certain page out of the book and later found that the average of the remaining� page numbers is 608/13. So what are teh page numbers that been torned?

Ans : 57,58

How to solve to get ans 57 and 58?

#3691

From: Anuparna Banerjee <anuparnabanerjee@...>
Date: Thu Nov 19, 2009 4:54 pm
Subject: Re: [2IIM CAT Prep] plz sir solve geometry question

anuparnabane...

Offline

Please do not link directly to this image

33.
Let
ABCD be a quadrilateral such that angle ABC = angle BCD = 120 , and AB
= 3 BC = 4 and CD = 5 , then area of quadrilateral ABCD is
a) 57
b) 67
c) 87
d) (47 )/4

I am getting a totally different answer.please correct me if I am wrong

Ans :

If a line segment parallel to side BC is drawn from vertex A to intersect side CD, then we would have an isoscelestrapezoid,
The two base angles then would measure 60 degrees each.

Solving for h (the height of this isosceles trapezoid):
h = (AB)sin60deg = 3cmsin60 deg = 2.6 cm
x = (AB)cos60deg = 3cmcos60 deg = 1.5 cm

Area of isosceles trapezoid = (1/2)(B + b)h
A = (1/2)[(1.5 + 1.5 + 4)+ 4](2.6)
A = 14.3 cm^2

Solving for the area of small triangle:
altitutde = 7sin60 deg = 6.06 cm
As = (1/2)(2)(6.06)
As = 6.06 cm^2

Area of ABCD = A + As = 14.3 + 6.06 = 20.36 cm^2 ANS

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#3690

From: Rocky Mehra <cool_rockymehra@...>
Date: Wed Nov 18, 2009 7:28 am
Subject: Re: [2IIM CAT Prep] plz sir solve this problem

cool_rockymehra

Offline

it shall be2pi/3-root3/2

see the attachment

--- On Wed, 18/11/09, Rajeev kumar <rajeev2mail@...> wrote:

From: Rajeev kumar <rajeev2mail@...>
Subject: [2IIM CAT Prep] plz sir solve this problem
To: "\'ascent4cat@yahoogroups.com\'" <ascent4cat@yahoogroups.com>
Date: Wednesday, 18 November, 2009, 9:54 AM

Two circles, both of radii 1 cm,
intersect such that the circumference of each one passes through the
centre of the circle of the other. What is the area (in sq cm) of the
intersecting region?
a)
b)
c)
d)
e)

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1 of 1 Photo(s)

circles.JPG

#3689

From: Rajeev kumar <rajeev2mail@...>
Date: Wed Nov 18, 2009 4:24 am
Subject: plz sir solve this problem

rajeev2mail

Offline

Two circles, both of radii 1 cm,
intersect such that the circumference of each one passes through the
centre of the circle of the other. What is the area (in sq cm) of the
intersecting region?
a)
b)
c)
d)
e)


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#3688

From: Pooja Bhavsar <poojabh_238@...>
Date: Mon Nov 16, 2009 2:01 pm
Subject: Re: [2IIM CAT Prep] plz sir solve this question

poojabh_238

Offline

here take the value of X as follows

f(2)+2f(2009/2)=3*2

2[f(2009/2)+2f(2)=(3*2009)/2 ]

now solving these eq... you will get value of f(2) = 2007.

IS IT CORRECT??? RPLY

RGRDS....

From: Rajeev kumar <rajeev2mail@...>
To: "\'ascent4cat@yahoogroups.com\'" <ascent4cat@yahoogroups.com>
Sent: Thu, November 5, 2009 11:19:15 AM
Subject: [2IIM CAT Prep] plz sir solve this question

Let f be a function such that f(x) + 2f(2009/x) = 3x for all x >0. Then value of f(2) is
a) 2001
b) 2009
c) 2007
d) 2006
e) None of these

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#3687

From: hello_nishant2002@...
Date: Mon Nov 16, 2009 3:02 pm
Subject: Re: [2IIM CAT Prep] CAT Prep Question:

hello_nishan...

Offline

its 376.

First place should be take 1,2,3 in 3 ways.

second place can occupy any of 5 in 5 ways

third so on

fourth so on

hence 3*5*5*5 = 375

and the number which starts from 4 is 4000 itself, so 376.

Cheers!

Nishant

--- On Mon, 16/11/09, Ascent Education CAT, Classes, Groups <cat@...> wrote:

From: Ascent Education CAT, Classes, Groups <cat@...>
Subject: [2IIM CAT Prep] CAT Prep Question:
To: ascent4cat@yahoogroups.com
Date: Monday, 16 November, 2009, 6:52 PM

Hi

Here is a CAT Prep Question from the topic - Permutation and Combination. This question appeared in CAT 2008.

Question

How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed.

(1) 499

(2) 500

(3) 375

(4) 376

(5) 501

You could send your answers by replying to this mail. Else you could check the explanatory answer at http://iim-cat- questions- answers.2iim. com/quant_ math_sample_ problems/ permutation_ combination_ probability/ number_propertie s_7.shtml

Best wishes

2IIM - CAT Classes, Study Material

An IIM Alumni Venture

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#3686

From: "Ascent Education CAT, Classes, Groups" <cat@...>
Date: Mon Nov 16, 2009 1:22 pm
Subject: CAT Prep Question:

cat@...

2IIM - CAT Classes, Study Material

�

Here is a CAT Prep Question from the topic - Permutation and Combination. This question appeared in CAT 2008.

�

Question

�

How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed.

�

(1)� 499

(2)� 500

(3)� 375

(4)� 376

(5)� 501

�

You could send your answers by replying to this mail. Else you could check the explanatory answer at http://iim-cat-questions-answers.2iim.com/quant_math_sample_problems/permutation_combination_probability/number_properties_7.shtml

�

Best wishes

�

An IIM Alumni Venture

#3685

From: Rajeev kumar <rajeev2mail@...>
Date: Sat Oct 31, 2009 7:27 am
Subject: plz sir solve quant doubt

rajeev2mail

Offline

New Microsoft Word Document.doc

27.
Let f(x) = x 2 + x +1  , where x > 0 , then minimum value of  f(x) + f(1/x) is
a) 8
b) 2
c) 3
d) 6
28.
Let x, y, and z be real numbers such that x – 7y + 8z = 4, and 8x + 4y – z =
7 , then       x 2 – y 2  + z 2     is
a) 1
b) 4
c) 8
d) 7
If a , b and , such that a 2 + 2b = 7 ; b 2 + 4c = -7 and c 2 + 6a = -14  then
value of  a 2 + b 2 + c 2 is
a)16b)49c)14d)19e)22


A rubber band is 4 metres long, a insect begins to crawl from the left end of
the rubber band . Every minute the insect crawls 1 meter along the rubber band
towards the left end of the rubber band, but the rubber band gets stretched
(uniformly)  by 1 meter . For what value of n will the insect reach the left end
of the rubber band during the n th minute?
a)6b)8c)7   d)9e)11



How many 5 digit numbers abcde exist such that the digits b, d are each the sum
of the digits on their immediate left and right i.e. b = a +c and d = c + e
a)330  b)400c)339d)332



Triangle ABC is right angled at A. D is a point on AB such that CD = 1. AE is
the altitude   from A to BC. If BD = BE = 1, what is the length of AD?


a)( 3√ 3 – 2)b)( 3√ 2 – 1)c)( 3√ 4 – 1)d)( 3√ 3 – 1)e)None of
these


.
For how many integers a (1 ≤ a ≤200) is the number a a   a perfect square?
a) 109
b) 107
c) 110
d) 119




.
Let a n   be a sequence of positive integers such that  an+2 = an+1 + an for n =
1, 2, . . . , 8
If  a10 = 2002 , then number of  such sequences  which are possible is
a) 5
b) 7
c) 3
d) 8
e) 2


Let S 2009   = 2009 +  ½(2008 + ½(2007 + . .+ ½( 3 + ½(2)). .)  then value
of  S 2009 is
a) 2009
b) 2007
c) 2008
d) 2006
27.
Let f(x) = x 2 + x +1  , where x > 0 , then minimum value of  f(x) + f(1/x) is
a) 8
b) 2
c) 3
d) 6
28.
Let x, y, and z be real numbers such that x – 7y + 8z = 4, and 8x + 4y – z =
7 , then       x 2 – y 2  + z 2     is
a) 1
b) 4
c) 8
d) 7
If a , b and , such that a 2 + 2b = 7 ; b 2 + 4c = -7 and c 2 + 6a = -14  then
value of  a 2 + b 2 + c 2 is
a)16b)49c)14d)19e)22


A rubber band is 4 metres long, a insect begins to crawl from the left end of
the rubber band . Every minute the insect crawls 1 meter along the rubber band
towards the left end of the rubber band, but the rubber band gets stretched
(uniformly)  by 1 meter . For what value of n will the insect reach the left end
of the rubber band during the n th minute?
a)6b)8c)7   d)9e)11



How many 5 digit numbers abcde exist such that the digits b, d are each the sum
of the digits on their immediate left and right i.e. b = a +c and d = c + e
a)330  b)400c)339d)332



Triangle ABC is right angled at A. D is a point on AB such that CD = 1. AE is
the altitude   from A to BC. If BD = BE = 1, what is the length of AD?


a)( 3√ 3 – 2)b)( 3√ 2 – 1)c)( 3√ 4 – 1)d)( 3√ 3 – 1)e)None of
these


.
For how many integers a (1 ≤ a ≤200) is the number a a   a perfect square?
a) 109
b) 107
c) 110
d) 119




.
Let a n   be a sequence of positive integers such that  an+2 = an+1 + an for n =
1, 2, . . . , 8
If  a10 = 2002 , then number of  such sequences  which are possible is
a) 5
b) 7
c) 3
d) 8
e) 2


Let S 2009   = 2009 +  ½(2008 + ½(2007 + . .+ ½( 3 + ½(2)). .)  then value
of  S 2009 is
a) 2009
b) 2007
c) 2008
d) 2006

27.
Let f(x) = x 2 + x +1  , where x > 0 , then minimum value of  f(x) + f(1/x) is
27.
Let f(x) = x 2 + x +1  , where x > 0 , then minimum value of  f(x) + f(1/x) is
a) 8
b) 2
c) 3
d) 6
28.
Let x, y, and z be real numbers such that x – 7y + 8z = 4, and 8x + 4y – z =
7 , then       x 2 – y 2  + z 2     is
a) 1
b) 4
c) 8
d) 7
If a , b and , such that a 2 + 2b = 7 ; b 2 + 4c = -7 and c 2 + 6a = -14  then
value of  a 2 + b 2 + c 2 is
a)16b)49c)14d)19e)22


A rubber band is 4 metres long, a insect begins to crawl from the left end of
the rubber band . Every minute the insect crawls 1 meter along the rubber band
towards the left end of the rubber band, but the rubber band gets stretched
(uniformly)  by 1 meter . For what value of n will the insect reach the left end
of the rubber band during the n th minute?
a)6b)8c)7   d)9e)11



How many 5 digit numbers abcde exist such that the digits b, d are each the sum
of the digits on their immediate left and right i.e. b = a +c and d = c + e
a)330  b)400c)339d)332



Triangle ABC is right angled at A. D is a point on AB such that CD = 1. AE is
the altitude   from A to BC. If BD = BE = 1, what is the length of AD?


a)( 3√ 3 – 2)b)( 3√ 2 – 1)c)( 3√ 4 – 1)d)( 3√ 3 – 1)e)None of
these


.
For how many integers a (1 ≤ a ≤200) is the number a a   a perfect square?
a) 109
b) 107
c) 110
d) 119




.
Let a n   be a sequence of positive integers such that  an+2 = an+1 + an for n =
1, 2, . . . , 8
If  a10 = 2002 , then number of  such sequences  which are possible is
a) 5
b) 7
c) 3
d) 8
e) 2


Let S 2009   = 2009 +  ½(2008 + ½(2007 + . .+ ½( 3 + ½(2)). .)  then value
of  S 2009 is
a) 2009
b) 2007
c) 2008
d) 2006
a) 8
b) 2
c) 3
d) 6
28.
Let x, y, and z be real numbers such that x – 7y + 8z = 4, and 8x + 4y – z =
7 , then       x 2 – y 2  + z 2     is
a) 1
b) 4
c) 8
d) 7
If a , b and , such that a 2 + 2b = 7 ; b 2 + 4c = -7 and c 2 + 6a = -14  then
value of  a 2 + b 2 + c 2 is
a)16b)49c)14d)19e)22


A rubber band is 4 metres long, a insect begins to crawl from the left end of
the rubber band . Every minute the insect crawls 1 meter along the rubber band
towards the left end of the rubber band, but the rubber band gets stretched
(uniformly)  by 1 meter . For what value of n will the insect reach the left end
of the rubber band during the n th minute?
a)6b)8c)7   d)9e)11



How many 5 digit numbers abcde exist such that the digits b, d are each the sum
of the digits on their immediate left and right i.e. b = a +c and d = c + e
a)330  b)400c)339d)332



Triangle ABC is right angled at A. D is a point on AB such that CD = 1. AE is
the altitude   from A to BC. If BD = BE = 1, what is the length of AD?


a)( 3√ 3 – 2)b)( 3√ 2 – 1)c)( 3√ 4 – 1)d)( 3√ 3 – 1)e)None of
these


.
For how many integers a (1 ≤ a ≤200) is the number a a   a perfect square?
a) 109
b) 107
c) 110
d) 119




.
Let a n   be a sequence of positive integers such that  an+2 = an+1 + an for n =
1, 2, . . . , 8
If  a10 = 2002 , then number of  such sequences  which are possible is
a) 5
b) 7
c) 3
d) 8
e) 2


Let S 2009   = 2009 +  ½(2008 + ½(2007 + . .+ ½( 3 + ½(2)). .)  then value
of  S 2009 is
a) 2009
b) 2007
c) 2008
d) 2006


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1 of 1 File(s)

#3684

From: Bishweshwar Pradhan <pradhan_bishweshwar@...>
Date: Thu Nov 12, 2009 10:39 am
Subject: Re: [2IIM CAT Prep] Number System ques

pradhan_bish...

Offline

Hi,

1) XY should be of the form ( 89k + 33 ); k =0,1,12,3,4,5.......

2) Remainder is always 1.

Rgds,

Bishweshwar

From: vikramjeet_1986 <vikramjeet_1986@...>
To: ascent4cat@yahoogroups.com
Sent: Sat, October 24, 2009 12:11:57 PM
Subject: [2IIM CAT Prep] Number System ques

1. find all the numbers of the form 517XY that are divisible by
89 [P27Q4]
I am facing problem since 89 is a prime number and i can factorize
89 to apply divisibility rules.

do mention if you have any other method to solve these ques.

2. The square of a number greater that 1000 that is not divisible by
three, when divided by three, leaves a remainder
of
[P39Q52]
a) 1 always b) 2 always c) 0 d) either 1 or 2
e) cannot be said

#3683

From: Rahil Sahu <rahilsahu@...>
Date: Fri Oct 30, 2009 5:49 pm
Subject: Re: [2IIM CAT Prep] help me out in these ques...

rahilsahu

Online Now

a) Work done by A in a day = 1/12
Work done by B in a day = (1*1.6)/12

Days taken by B = 12/1.6 = 8

b) LCM of 12,18, 35 = 1260
    Largest 4 digit multiple of 1260 is 1260*7 = 8820
    So the number is 8825

c)LCM of 7,10,15,21 = 210
   Largest 4 digit multiple of 210 is 210 * 47 = 9870
   So the number is 9867

Rahil Sahu

Naval Architect
VEDAM Design & Techinal Consultancy Pvt. Ltd.

Ph - 91-22-6710 9192

www.vedamindia.com

From: anand rb <anandrb_21@...>
To: ascent4cat@yahoogroups.com
Cc: ascent4cat@yahoogroups.com
Sent: Fri, 23 October, 2009 8:57:13 PM
Subject: [2IIM CAT Prep] help me out in these ques...

1)A can do a piece of work in 12 days.B is 60% more efficient than A.the no of days ,it takes B to do the same piece of work in

a)8 b) 7 1/2 c) 6 2/3 d)None of these.

2)Find the greatest number of 4 digits which when divided by 12,18, and 35 leaves 5 as remainder.

a)8865 b)8825 c)8065 d)none of these

3)Find the greatest number of 4 digits which when divided by 7,10,15,21 and 28 leaves remainder 4,7,12,18 and 25.

a)8097 b)9657 c)9567 d)None of these

Similarly how to find for least 4 digit no's? any rule or procdures?

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#3682

From: "roopsi_16july" <roopsi_16july@...>
Date: Fri Nov 6, 2009 1:05 am
Subject: cud anyone plzz solve dis out...?

roopsi_16july

Offline

Q. Let d no. of students in three sections be a,b,c respectively.  a>2b>3c and
average age per student in three sections is 20,30,50 respectively.Which of d
following cannot be the avg age per student of all three sections
A)29
B)28
C)27
D)26
E)25

plzz tell me answer with d xplanation

#3681

From: Rajeev kumar <rajeev2mail@...>
Date: Thu Nov 5, 2009 5:49 am
Subject: plz sir solve this question

rajeev2mail

Offline

Let f be a function such that f(x) + 2f(2009/x) = 3x for all x >0. Then value of
f(2) is
a) 2001
b) 2009
c) 2007
d) 2006
e) None of these


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#3680

From: sree harsha <harsha_sree_j@...>
Date: Mon Nov 2, 2009 6:12 am
Subject: Re: [2IIM CAT Prep] Number System ques

harsha_sree_j

Offline

1-> The only possiblities for xy are 09 and 98

If u find out the remainder when 517 is divided by 9,its 72.The number would now take the form "72x" .now the closest multiple of 89 is 712. Lets take x to be 0 then y has to be 9 so that the number is perfectly divisible by 89.similarly if u try giving values to from 1 to 9,u would c that when x is 9,y has to be 8...for no other values of x the remaider would be 0

so only two such number exist

--- On Sat, 24/10/09, vikramjeet_1986 <vikramjeet_1986@...> wrote:

From: vikramjeet_1986 <vikramjeet_1986@...>
Subject: [2IIM CAT Prep] Number System ques
To: ascent4cat@yahoogroups.com
Date: Saturday, 24 October, 2009, 12:11 PM

1. find all the numbers of the form 517XY that are divisible by
89 [P27Q4]
I am facing problem since 89 is a prime number and i can factorize
89 to apply divisibility rules.

do mention if you have any other method to solve these ques.

2. The square of a number greater that 1000 that is not divisible by
three, when divided by three, leaves a remainder
of
[P39Q52]
a) 1 always b) 2 always c) 0 d) either 1 or 2
e) cannot be said

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#3679

From: Rajeev kumar <rajeev2mail@...>
Date: Thu Nov 5, 2009 6:28 am
Subject: plz sir solve number system problem

rajeev2mail

Offline

35.
How many 3 digit numbers have at least one 4 and at least one 6.
a) 49
b) 62
c) 52
d) 64
e) 58


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#3678

From: Rajeev kumar <rajeev2mail@...>
Date: Thu Nov 5, 2009 6:09 am
Subject: plz sir solve geometry question

rajeev2mail

Offline

33.
Let
ABCD be a quadrilateral such that angle ABC = angle BCD = 120 , and AB
= 3 BC = 4 and CD = 5 , then area of quadrilateral ABCD is
a) 57
b) 67
c) 87
d) (47 )/4


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#3677

From: gaurav chowdhry <gaurav_iceman@...>
Date: Fri Oct 30, 2009 5:32 pm
Subject: Re: [2IIM CAT Prep] A Data-Sufficiency Question

gaurav_iceman

Offline

ans: statement I only & not II is sufficient to answer the question.

reason: statement 1 is the proved formula.

statement 2 jst ells dat half of height is 2.5 n nothing else.

Data-sufficiency question
Mark A if statement I only & not II is sufficient to answer the question.
Mark B if statement II only & not I is sufficient to answer the question.
Mark C if statement either of the statements I & II is sufficient to answer the question.
Mark D if statement both statements & not any of them alone are sufficient to answer the question.
Mark E if statement neither of the statementsis sufficient to answer the question.

Q What is the area of the triangle with base 10 cm & height 5 cm?
I. Area of a triangle = 1/2 * base * height
II. Half the height of the triangle is 2.5 cm.

#3676

From: siddhesh surya <surya_siddhesh@...>
Date: Sat Oct 31, 2009 2:39 am
Subject: Re: [2IIM CAT Prep] help me out in these ques...

surya_siddhesh

Offline

1. As 'B' is 60% more efficient than 'A',

we get,

B = 1.6A

As 'A' takes 12 days, 'B' takes 12/1.6 days

= 7.5 days

2. L.C.M(12,18,35) is 1260

Therefore, the number will be of the form 1260*n+5

Substitute n=7,

we get 8825

--- On Fri, 23/10/09, anand rb <anandrb_21@...> wrote:

From: anand rb <anandrb_21@...>
Subject: [2IIM CAT Prep] help me out in these ques...
To: ascent4cat@yahoogroups.com
Cc: ascent4cat@yahoogroups.com
Date: Friday, 23 October, 2009, 8:57 PM

1)A can do a piece of work in 12 days.B is 60% more efficient than A.the no of days ,it takes B to do the same piece of work in

         a)8 b) 7 1/2 c) 6 2/3 d)None of these.

2)Find the greatest number of 4 digits which when divided by 12,18, and 35 leaves 5 as remainder.

          a)8865 b)8825 c)8065 d)none of these

3)Find the greatest number of 4 digits which when divided by 7,10,15,21 and 28 leaves remainder 4,7,12,18 and 25.

          a)8097 b)9657 c)9567 d)None of these

Similarly how to find for least 4 digit no's? any rule or procdures?

Connect more, do more and share more with Yahoo! India Mail. Learn more.

Connect more, do more and share more with Yahoo! India Mail. Learn more.

#3675

From: "Raj" <raju_bonjour15@...>
Date: Fri Oct 30, 2009 7:25 am
Subject: Re: Number System ques

raju_bonjour15

Offline

u needn go by divisiblity rules . since number of the form 517xy just subs 00
for x&y and u get a reminder of 80 . so 51709 is div by 89 and 51709+89=51798 
also divi by 89. so ans s two forms 51709 and 51798



2q) since when divided by three ermin is always 1 or 2 even if its a sqr of tat
num ans is either 1 or 2

--- In ascent4cat@yahoogroups.com, "vikramjeet_1986" <vikramjeet_1986@...>
wrote:
>
>
> 1. find all the numbers of the form  517XY  that are divisible by
> 89                  [P27Q4]
>    I am facing problem since 89 is a prime number and i can factorize
> 89 to apply divisibility rules.
>
>    do mention if you have any other method to solve these ques.
>
> 2. The square of a number greater that 1000 that is not divisible by
> three, when divided by three,  leaves a remainder
> of
> [P39Q52]
>    a) 1 always      b) 2 always      c) 0      d) either 1 or 2
> e) cannot be said
>

#3674

From: "vikramjeet_1986" <vikramjeet_1986@...>
Date: Sat Oct 24, 2009 6:41 am
Subject: Number System ques

vikramjeet_1986

Offline

1. find all the numbers of the form  517XY  that are divisible by
89                  [P27Q4]
    I am facing problem since 89 is a prime number and i can factorize
89 to apply divisibility rules.

    do mention if you have any other method to solve these ques.

2. The square of a number greater that 1000 that is not divisible by
three, when divided by three,  leaves a remainder
of
[P39Q52]
    a) 1 always      b) 2 always      c) 0      d) either 1 or 2
e) cannot be said

#3673

From: "kumarranganath" <kumarranganath@...>
Date: Thu Oct 22, 2009 7:11 pm
Subject: PRE-CAT RECAP (QUANT) - Test Tips

kumarranganath

Online Now

3-4-5 is a Pythagorean triplet. What about others. Read on the following to understand how to develop more such triplets.

Pythagoras Theorem

For a right angled triangle
The square of the hypotenuse = sum of squares of the other two sides.

In the given figure AB² + BC² = AC²

Some Pythagorean Relation

Properties of Pythagorean Relation

Any integer 'n' can be multiplied with P to get other triplets Pythagorean relation. i.e. Pythagorean relation will be unaltered.
If n = {1, 2, 3, 4, 5, ...} therefore (nP)² + (na)² = {n(a + 1)}² for example;
1. If triplet (3, 4, 5) multiply by 2 to get (6,8,10) 2. If triplet (5, 12, 13) multiply by 3 to get (15, 36, 39) and so on

Note: Every Pythagorean triplet can be found out by this relation.

#3672

From: rohit roy <roy_rohit1@...>
Date: Sat Oct 24, 2009 6:47 pm
Subject: Re: [2IIM CAT Prep] Re: plz sir solve num system question

roy_rohit1

Offline

Suppose the number is 111110. It is divisible by 10,5, 2 but not with 4. We can try with other supposed number like 101010 it will give u the same result

Cheers

Rohir

From: bhaskar negi <bhaskar_negi007@...>
To: ascent4cat@yahoogroups.com
Sent: Mon, October 19, 2009 11:01:23 AM
Subject: Re: [2IIM CAT Prep] Re: plz sir solve num system question

units place must be 0 so answer is 4

--- On Sat, 10/17/09, Gurpeet <sgurpeet@yahoo. com> wrote:

From: Gurpeet <sgurpeet@yahoo. com>
Subject: [2IIM CAT Prep] Re: plz sir solve num system question
To: ascent4cat@yahoogro ups.com
Date: Saturday, October 17, 2009, 7:21 AM

A five digit number is taken .Sum of first four (excluding the number at the unit digit ) ewuals sum of all the five digits .which of the folliwing will not divide this number necessarily
a) 10
b) 2
c)4
d)5
ans 4

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#3671

From: anand rb <anandrb_21@...>
Date: Fri Oct 23, 2009 3:27 pm
Subject: help me out in these ques...

anandrb_21

Offline

1)A can do a piece of work in 12 days.B is 60% more efficient than A.the no of days ,it takes B to do the same piece of work in

a)8 b) 7 1/2 c) 6 2/3 d)None of these.

2)Find the greatest number of 4 digits which when divided by 12,18, and 35 leaves 5 as remainder.

a)8865 b)8825 c)8065 d)none of these

3)Find the greatest number of 4 digits which when divided by 7,10,15,21 and 28 leaves remainder 4,7,12,18 and 25.

a)8097 b)9657 c)9567 d)None of these

Similarly how to find for least 4 digit no's? any rule or procdures?

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#3670

From: "ishantkumararora" <ishantkumararora@...>
Date: Mon Oct 26, 2009 2:24 pm
Subject: A Data-Sufficiency Question

ishantkumara...

Offline

Data-sufficiency question
Mark A if statement I only & not II is sufficient to answer the question.
Mark B if statement II only & not I is sufficient to answer the question.
Mark C if statement either of the statements I & II is sufficient to answer the
question.
Mark D if statement both statements & not any of them alone are sufficient to
answer the question.
Mark E if statement neither of the statementsis sufficient to answer the
question.

Q What is the area of the triangle with base 10 cm & height 5 cm?
I. Area of a triangle = 1/2 * base * height
II. Half the height of the triangle is 2.5 cm.

#3669

From: surabhi dewra <deepfragrance@...>
Date: Wed Oct 21, 2009 7:45 am
Subject: Re: [2IIM CAT Prep] Re: time & distance

surabhi.dewra

Offline

Hello All,�

I came across these FAQ's for CAT 2009, thought it would be helpful for you all to read this, as I had few queries and it got answered by this writeup.

�

Q.What is the reporting time for the test?

2 hours prior to the test time. If the test begins at 10 AM, you are advised to reach the test centre by 8AM and no later than 8:30 AM.�

�

Q.What is the duration and pattern of the test?

2 hours 30 minutes including 15 minutes tutorial. The actual test may contain about 60 to 70 questions.�

Q. What identification documents are required to be carried to the test centre?

The candidate will need to bring their CAT 2009 Admit Card, voucher, a valid document as proof of SC/ST eligibility (if applicable) and also one photo-identification to the test centre.�Candidates will not be permitted to take the test if photo identification and Admit Card is not presented.

Q. What are the permitted materials I can carry to the test centre?

None. You will not be permitted to carry any personal items to the test centre, including wrist-watch, pen, cellphones, calculators, etc.�

�

Q. Do I have any test breaks?

No, you will not be given any breaks during the test.�

��

Q. Will I be provided with any scratch paper for rough work and calculations during the test?

At the test venue, each candidate will be provided with a scratch paper for calculations. Rough work cannot be done on any other paper/sheet, as nothing will be allowed inside the testing room.�

�

Results:��

�Q. Will I get to see my scores on the test day?

�No.�

�Q.Within how many days can I expect the results?

�CAT 2009 results will be declared from January 22, 2010.

�

You can read entire FAQ'a here: �About CAT 2009 D day�

All the Best to all aspirants!�

Surabhi

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#3668

From: Ashish Anand <excusemeashish@...>
Date: Mon Oct 19, 2009 7:05 am
Subject: Re: [2IIM CAT Prep] (unknown)

excusemeashish

Offline

Hi,

Interesting way to solve the question but you made a calculation�error in�this step:�((5^9)^56)/11 -> (5*(3^4)^56)/11
It should have been: ((5^9)^56)/11 -> ((5*(125)^3)^56)/11 -> ((5*(4^3)^56)/11 ->.... ->5(ANS)

With that 5 is coming out as the answer which matches with other responses.

Regards,

Ashish.

On Mon, Oct 5, 2009 at 10:27 AM, debanjan rudra <debanjan_cse_jgec@...> wrote:

�

((50^54)^56)/11 ->((6^54)^56)/11 -> ((36^27)^56)/11 -> ((3^27)^56)/11 -> ((5^9)^56)/11 -> (5*(3^4)^56)/11 -> ((-2)^56)/11 -> (4^28)/11 -> (5 ^ 14)/11 -> (3 ^ 7)/11 -> (3 * 8)/11 -> 2 (ANS)�

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#3667

From: bhaskar negi <bhaskar_negi007@...>
Date: Mon Oct 19, 2009 8:01 am
Subject: Re: [2IIM CAT Prep] Re: plz sir solve num system question

bhaskar_negi007

Offline

units place must be 0 so answer is 4

--- On Sat, 10/17/09, Gurpeet <sgurpeet@...> wrote:

From: Gurpeet <sgurpeet@...>
Subject: [2IIM CAT Prep] Re: plz sir solve num system question
To: ascent4cat@yahoogroups.com
Date: Saturday, October 17, 2009, 7:21 AM

A five digit number is taken .Sum of first four (excluding the number at the unit digit ) ewuals sum of all the five digits .which of the folliwing will not divide this number necessarily
a) 10
b) 2
c)4
d)5
ans 4

Reply | Forward | Messages in this Topic (6)

#3666

From: sri ram <sarkram@...>
Date: Fri Oct 16, 2009 6:38 am
Subject: Re: [2IIM CAT Prep] (unknown)

sarkram8713

Offline

OOOps sorry for the typographidal error

�

By euiler theroem L((17)= 16. 16 is a factor of 256 hence 2^256 when divide bye 17 leaves a remainder of 1

Kindly ignore the previous mail...

On Fri, Oct 16, 2009 at 12:04 PM, sri ram <sarkram@...> wrote:

Hey by Euilers theorem L(16) = 2^4( 1-1/2)= 2^3 = 8

it states that N ^ L(16) divided by 16 leaves a remainder of 1

�

and since 256 is a factor of 8 (8*32=256)

2^256 when divided by 16 leaves a remainder of 1....

Hence answer is 1

On Mon, Oct 12, 2009 at 7:11 PM, anirudh mishra <anirudhmshr@...> wrote:

�

when 2 raise to the power 256 is divided by 17,what is the remainder?

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--
SRIRAM|
SURAT | MOBILE :- 9909902378

--
SRIRAM|
SURAT | MOBILE :- 9909902378

#3665

From: sri ram <sarkram@...>
Date: Fri Oct 16, 2009 6:34 am
Subject: Re: [2IIM CAT Prep] (unknown)

sarkram8713

Offline

Hey by Euilers theorem L(16) = 2^4( 1-1/2)= 2^3 = 8

it states that N ^ L(16) divided by 16 leaves a remainder of 1

�

and since 256 is a factor of 8 (8*32=256)

2^256 when divided by 16 leaves a remainder of 1....

Hence answer is 1

On Mon, Oct 12, 2009 at 7:11 PM, anirudh mishra <anirudhmshr@...> wrote:

�

when 2 raise to the power 256 is divided by 17,what is the remainder?

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--
SRIRAM|
SURAT | MOBILE :- 9909902378

#3664

From: "Gurpeet" <sgurpeet@...>
Date: Sat Oct 17, 2009 1:51 am
Subject: Re: plz sir solve num system question

sgurpeet

Offline