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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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Arijit Debnath
@bs0409
4,418

upudit0 Sayshow they sat in a round table

But I have fixed the position of the chairman. So that shld take care of it.

udit pande
@upudit0
1,640

ABC + DEF + GHI = 900 where different letters represents distinct non-zero single digit numbers. Find A + D + G.

editing...............................

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udit pande
@upudit0
1,640

Lets fix the Chairman.

Let the VC sit to the right of him. Now the 8 directors can be arranged in8! 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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Abhishek Jain
@jain4444
40,426

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 ,

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Arijit Debnath
@bs0409
4,418

How many numbers of the following set are divisible by 101S = {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.

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Abhishek Jain
@jain4444
40,426

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

- 2 Likes

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Arijit Debnath
@bs0409
4,418

sol:

fix thses three buddies chairman ,vice chairman and a director take them as 1 person then total remains 10-3+1=8now 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 ways2*7!

The underlined director can be chosen in 8 ways.

So the answer wd become 2*7!*8=2*8!

Am I right????

- 2 Likes

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S = {2007, 20072007, 200720072007, 2007200720072007, ....}

bs bhai ur ans is correct!!!

jain bhai apologies dis not d place to post emotional content!!!

i will refrain from doing so!!!

- 5 Likes

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Thilak Kumar
@HydRocker
4,275

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 ... ____/\____

- 2 Likes

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

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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

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Abhishek Jain
@jain4444
40,426

Options

1) 9530

2) 8470

3) 7420

4) 5580

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udit pande
@upudit0
1,640

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:

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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@HeavenSent
1,409

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 !!!

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

- 2 Likes

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Thilak Kumar
@HydRocker
4,275

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

- 1 Like

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