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Official Quant Thread for CAT 2012 [Part 1]

Hi puys, CAT 2011 season is finally over :: :: Let start a new season of Quants thread for CAT 2012.. :: :: Here are few links of Quants thread for CAT 2011 season... Part-8 http://www.pagalguy.com/forum/quanti...at-...
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upudit0 Says
how they sat in a round table


But I have fixed the position of the chairman. So that shld take care of it.
Three Lives. Three Destinies. One Name. CAT'12 : 95.86%ile
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ABC + DEF + GHI = 900 where different letters represents distinct non-zero single digit numbers. Find A + D + G.


editing...............................
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Lets fix the Chairman.
Let the VC sit to the right of him. Now the 8 directors can be arranged in 8! ways.

Similarly, if the VC sits to his left, there are 8! ways for the directors.

So total=2*8!


how they sat in a round table
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How many numbers of the following set are divisible by 101
S = {2007, 20072007, 200720072007, 2007200720072007, ....}


10^3 mod 101 = 1

we can write 2007 as 2*10^3+7 mod 101 = 9

we need to write 101 times 2007 for make it divisible by 101

so , number should in form of 101k*2007 = infinite numbers
RC practice :- http://codecoax.com/grerc/
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How many numbers of the following set are divisible by 101
S = {2007, 20072007, 200720072007, 2007200720072007, ....}


Divisibility test for 101: Form pairs two at a time from the right and add '+' and '-' signs alternately.

2007: 07-20=-13
20072007:07-20+07-20=-26
20072007...........2007(n times)=(07-20)+(07-20).........n times=-13n

since 13 and 101 are coprimes, -13n will be divisible by 101 for n=101k

so infinite nos.
Three Lives. Three Destinies. One Name. CAT'12 : 95.86%ile
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Jain baba ye sawal ek page pehle solve kiya hai. 5580 hai answer.

@flanker sahab: No luck this year! Screwed all papers. Tabhi toh yahan dobara aya hoon :|

Just a lone call this year from IIM-K. Looking to make the most of it.


vikas bhai this is not a chit chat forum better to use PM facility for this type of chit chat

Jain Bhai ye wala hogaya... Maine post kardiya tha.... :P

Vikas Bhai ... ____/\____


sorry yaar thilak dekha nahi tha

ABC + DEF + GHI = 900 where different letters represents distinct non-zero single digit numbers. Find A + D + G.
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RC practice :- http://codecoax.com/grerc/
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sol:

fix thses three buddies chairman ,vice chairman and a director take them as 1 person then total remains 10-3+1=8
now these can arrange around a circular table in 7! ways and director and vice chairman can too change their position in 2 ways so total ways
2*7!


The underlined director can be chosen in 8 ways.
So the answer wd become 2*7!*8=2*8!

Am I right????
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Three Lives. Three Destinies. One Name. CAT'12 : 95.86%ile
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How many numbers of the following set are divisible by 101
S = {2007, 20072007, 200720072007, 2007200720072007, ....}

ps: aconfession:
u guys are awsome u all give me umeedo wali dhoop aur sunshine waali asha!!!is key saharey zindagi chal raha hai!!!

bs bhai ur ans is correct!!!
jain bhai apologies dis not d place to post emotional content!!!
i will refrain from doing so!!!
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xat (2013) 97.43:cat (2012) 95.03: calls:xlri(bm/hr)
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In an election 10% of the people in the voter's list did not participate.60 voters were declared invalid.There were only two candidates A and B.A defeated B by 308 votes.It was found that 47% of the people listed in the voter's list voted for A.Find the total number of votes polled.
Options
1) 9530
2) 8470
3) 7420
4) 5580


Jain Bhai ye wala hogaya... Maine post kardiya tha.... :P

Vikas Bhai ... ____/\____
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"You are the creator of your own Destiny."
Commenting on this post has been disabled.
In an election 10% of the people in the voter's list did not participate.60 voters were declared invalid.There were only two candidates A and B.A defeated B by 308 votes.It was found that 47% of the people listed in the voter's list voted for A.Find the total number of votes polled.
Options
1) 9530
2) 8470
3) 7420
4) 5580


Jain baba ye sawal ek page pehle solve kiya hai. 5580 hai answer.

@flanker sahab: No luck this year! Screwed all papers. Tabhi toh yahan dobara aya hoon :|

Just a lone call this year from IIM-K. Looking to make the most of it.
  • 2 Likes  
Vikas Singh (Wiki) IIM-K 2012-2014 http://www.donquicksort.com
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Getting 600 numbers !!! So , none of these

Last 2 digits can be : 12 , 16 , 24 , 32 , 36 , 52 , 56 , 64 , 72 , 76

Remaining 3-digits can be arranged in P(5,3) = 60 ways

Total numbers = 60*10 = 600



*Lagta hai kuch gadbad kardi mene !! let me check again


i think d ans 840!!!
1080-240=840
xat (2013) 97.43:cat (2012) 95.03: calls:xlri(bm/hr)
Commenting on this post has been disabled.
In an election 10% of the people in the voter's list did not participate.60 voters were declared invalid.There were only two candidates A and B.A defeated B by 308 votes.It was found that 47% of the people listed in the voter's list voted for A.Find the total number of votes polled.
Options
1) 9530
2) 8470
3) 7420
4) 5580
RC practice :- http://codecoax.com/grerc/
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In how many ways can eight directors, the vice chairman and chairman of a firm be seated at a round table, if the chairman has to sit between the vice chairman and a director?


sol:

fix thses three buddies chairman ,vice chairman and a director take them as 1 person then total remains 10-3+1=8

now these can arrange around a circular table in 7! ways and director and vice chairman can too change their position in 2 ways so total ways

2*7!
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Find the number of five-digit multiples of 4, which can be formed using the digits from 1 to 7, using the digits at most once:
(1) 720 (2) 84 (3) 840 (4) 90 (5) none of these



Getting 600 numbers !!! So , none of these

Last 2 digits can be : 12 , 16 , 24 , 32 , 36 , 52 , 56 , 64 , 72 , 76

Remaining 3-digits can be arranged in P(5,3) = 60 ways

Total numbers = 60*10 = 600



*Lagta hai kuch gadbad kardi mene !! let me check again



_ _ _ 12

_ _ _ 16

_ _ _ 24

_ _ _ 28

_ _ _ 32

_ _ _ 36

all blank spaces in C(5,3)*3!=60 ways

60*6=360

Sambit bhai 28 toh out of range chala gaya !! Digits 1 to 7 use karni hai !!
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no 15 gallon
post ur method:cheers:\


60 miles/hr -----> 20 miles per gallon
75 miles/hr -----> 70% of 20 = 14 miles per gallon.
So at this speed 210 miles will take = 210/14 = 15 gallons
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"You are the creator of your own Destiny."
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