Official Quant thread for CAT 2013

shattereddream · January 21, 2013, 12:27pm

@Estallar12 said:
Nope.See, Suppose there are m Men and n Women.Now, Given 66 number can be written in a equation like this :2*mC2 = No. of Games between Men.2*mC1*nC1 = No. of Games between Men and Women.Difference = 66. Equate it. Then on factorising 33 = 11*3, we can see that m cannot be 3 else, the term in bracket will go negative. So, m = 11 and n = 2.

Got it ...................... Dimaag bund ho gaya hai mera

junefever · January 21, 2013, 12:29pm

@Estallar12 my bad, didnt use the funda of factorising

Then on factorising 33 = 11*3, we can see that m cannot be 3 else, the term in bracket will go negative. So, m = 11 and n = 2.{missed this part}

pradeep_rss · January 21, 2013, 1:05pm

Two friends A and B purchased an article and both of them paid for it. First A paid 50% of the money then B paid 50% of the remaining. Again A paid 50% of the remaining, then B, and this process continues until the article is fully paid for? What percentage of the total cost of the article is paid by A?

pradeep_rss · January 21, 2013, 1:08pm

At the end of 1998, a man bought nine dozen goats. Henceforth, every year he added p% of the goats at the beginning of the year and sold q% of the goats at the end of the year where p > 0 and q > 0. If he had nine dozen goats at the end of 2002, after making the sales for that year, what is relation between p and q .is p>q ,p

help me with the approach.......thanks in advance

vishwadeep2010 · January 21, 2013, 1:17pm

@Pradeep_Rss Percentage of total cost paid by A =66.67% ????

pirateiim478 · January 21, 2013, 1:17pm

@Pradeep_Rss said:
Two friends A and B purchased an article and both of them paid for it. First A paid 50% of the money then B paid 50% of the remaining. Again A paid 50% of the remaining, then B, and this process continues until the article is fully paid for? What percentage of the total cost of the article is paid by A?

66.65%

ravi.theja · January 21, 2013, 1:18pm

@Pradeep_Rss said:
Two friends A and B purchased an article and both of them paid for it. First A paid 50% of the money then B paid 50% of the remaining. Again A paid 50% of the remaining, then B, and this process continues until the article is fully paid for? What percentage of the total cost of the article is paid by A?

x/2 + x/4 + x/8............. paid by A is x/2 + x/8 +.......... infinite gp series = x/2 /( 1-1/4) = 2x/3 = 66.66 %

ravi.theja · January 21, 2013, 1:18pm

@Pradeep_Rss said:
Two friends A and B purchased an article and both of them paid for it. First A paid 50% of the money then B paid 50% of the remaining. Again A paid 50% of the remaining, then B, and this process continues until the article is fully paid for? What percentage of the total cost of the article is paid by A?

66.66% ??

ravi.theja · January 21, 2013, 1:21pm

@Pradeep_Rss said:
At the end of 1998, a man bought nine dozen goats. Henceforth, every year he added p% of the goats at the beginning of the year and sold q% of the goats at the end of the year where p > 0 and q > 0. If he had nine dozen goats at the end of 2002, after making the sales for that year, what is relation between p and q .is p>q ,phelp me with the approach.......thanks in advance

say u hav 100 goats add 10% => becomes 110 now to get 100 u have to sell 110-100/110 = 1/11 = 9.9 % here p=10 and q=9.9 so.......P > Q

raopradeep · January 21, 2013, 1:21pm

if the roots of the eqn cx^2 - bx +4 =0 . are in the ratio c:4 and c not equal to b-4 then c=?

a)4-b

b)-b-4

c)b+4

d)b-4

ravi.theja · January 21, 2013, 1:23pm

@raopradeep said:
if the roots of the eqn cx^2 - bx +4 =0 . are in the ratio c:4 and c not equal to b-4 then c=?a)4-bb)-b-4c)b+4d)b-4

-b-4

let a*c and 4*c be the two roots ===> a*c + 4*a = b/c

a*c*4*a = 4/c ==> a^2*c^2= 1 ==> ac= +- 1
a*(c+4) = b/c on substituting ac=1 we get c=b-4 on substituting ac= -1 we get c=-b-4

mailtoankit · January 21, 2013, 1:26pm

@Pradeep_Rss said:
Two friends A and B purchased an article and both of them paid for it. First A paid 50% of the money then B paid 50% of the remaining. Again A paid 50% of the remaining, then B, and this process continues until the article is fully paid for? What percentage of the total cost of the article is paid by A?

66.67 %?

amitranjan2311 · January 21, 2013, 1:30pm

@ravi.theja -b-4

pirateiim478 · January 21, 2013, 1:37pm

@raopradeep said:
if the roots of the eqn cx^2 - bx +4 =0 . are in the ratio c:4 and c not equal to b-4 then c=?a)4-bb)-b-4c)b+4d)b-4

It will be -b-4.

If ratio of equation are in ration m:n for equation ax^2+bx+c then mn*b^2 =(m+n)^2*ac

So for cx^2-bx+4=0 it is 4c*b^2=(4+c)^2*4c
b=4+c or b=-4-c

given c not equal 4+c so b=-4-c

vishwadeep2010 · January 21, 2013, 1:40pm

@raopradeep said:
if the roots of the eqn cx^2 - bx +4 =0 . are in the ratio c:4 and c not equal to b-4 then c=?a)4-bb)-b-4c)b+4d)b-4

option B ???

raopradeep · January 21, 2013, 1:43pm

@vishwadeep2010 yes OA b

shinoda · January 21, 2013, 1:44pm

a right circular cylinder has to be made out from a metal sheet such that sum of its height and radius does not exceed 9 and it has max volume possible..?

mailtoankit · January 21, 2013, 1:48pm

@raopradeep said:
if the roots of the eqn cx^2 - bx +4 =0 . are in the ratio c:4 and c not equal to b-4 then c=?a)4-bb)-b-4c)b+4d)b-4

-b-4?

cx+4x=b/c

cx*4x=4/c---->x=-1/c

-c/c-4/c=b/c

c=-b-4

raopradeep · January 21, 2013, 1:49pm

find maximum value of 6x - x^2 +7 if |x-4|>=2

a)14

b)15

c)16

d)17

raopradeep · January 21, 2013, 1:53pm

@Pradeep_Rss said:
Two friends A and B purchased an article and both of them paid for it. First A paid 50% of the money then B paid 50% of the remaining. Again A paid 50% of the remaining, then B, and this process continues until the article is fully paid for? What percentage of the total cost of the article is paid by A?

66.66%