Official Quant thread for CAT 2013

@Subhashdec2 said:
arun=v1varun=v2kinnamala=v32d/v1+v2 =8/32d/v1+v3=32d/v2+v3=24/5v2=D/4v3=D/6v1=D/2Arun and varun meet at 20 kms from Darun travels D+20 varun travels D-20d+20/d-20 =d/2 / d/4D=60v3=10??@Ashank.Dubey
ye wala part kaise hua bhai....
@scrabbler said:
Sir, can you explain the flaw in this?regardsscrabbler
@bodhi_vriksha Sir please answer this query...

regards
scrabbler

@Dexian said:
ye wala part kaise hua bhai....
arun and varun meet 20Kms from Q
arun would have travelled d+20
and varun would have travelled d-20

and this can be equated to d ratio of their speeds
@Ashank.Dubey said:
is it 10km/hr??

a=30km/hr
b=15km/hr
In a school of 100 students each of them play atleast one sport among cricket,football,volley,basket,hockey and tennis.It s known that 90 play crick,80 play football,70 play hockey,60 play basketball,40 play volley and 10 play tennis.

a)What is the max no of students who play excatly four of the 6 games??60,70,80,not

b)What is the max no of students who play excatly 5 of the six sports??
40,60,50,not

c)what is the min no of students who play cricket ,football and hockey??
20,10,0,not

Q . sunil takes a loan frm a financier @ 100% p.a. interest . wen he was repaying it aftr 3 yrs , he hd to pay 952000 more bcoz the loan ws compounded every moment , instead of annually . wht ws the loan taken ? [ take e= 2.71]


needed soln wid xplanation plz.

is thr anyone to solve this ques ...........plz

@iLoveTorres said:
In a school of 100 students each of them play atleast one sport among cricket,football,volley,basket,hockey and tennis.It s known that 90 play crick,80 play football,70 play hockey,60 play basketball,40 play volley and 10 play tennis.a)What is the max no of students who play excatly four of the 6 games??60,70,80,notb)What is the max no of students who play excatly 5 of the six sports??40,60,50,notc)what is the min no of students who play cricket ,football and hockey??20,10,0,not
1> Max (4) = 83
2> Max (5) = 50
3> Min(C,F,H) = 40

Team BV -Vineet
@Abir1103 said:
Q . sunil takes a loan frm a financier @ 100% p.a. interest . wen he was repaying it aftr 3 yrs , he hd to pay 952000 more bcoz the loan ws compounded every moment , instead of annually . wht ws the loan taken ? [ take e= 2.71]needed soln wid xplanation plz.
952000=P(e^3-8)
P=952000/12~79333..
@heylady hw did u gt tht.......need xplanation plz...
@bodhi_vriksha said:
1> Max (4) = 802> Max (5) = 503> Min(C,F,H) = 40Please see my video on how to solve Set problems with any number of variables. The link is as follows.Team BV - Vineet
sir i am not able to go to the link cud u plz forward me the llink in pm :)
@abhishek.2011 said:
sir i am not able to go to the link cud u plz forward me the llink in pm
Done :)

Team BV - Vineet

In a colony, there are 350 residents. The number of residents who smoke cigar, hookah and cigarette as a percentage of the total number of residents is at least 40%, at least 30% and at least 22% respectively.


a) If 50% of the residents do not smoke, then at most how many residents smoke exactly one of cigar, cigarette and hookah?

a) 70 b) 175 c) 98 d) 91

b) If p is the number of residents smoking all the three, then

a) 28
b) 0
c) 0
d) 0


1.Ram sells two types of goods A,B at the same price of Rs 120 whereas they cost him Rs 90 and Rs 160 respectively.Sale for A started from 1 for first day and then went on increasing every day by 4 units,whereas sale of article B was 450 on the first day and went on decreasing every day by 6 units. Ram earns profit after exactly N days.What is the value of N?

@maroof10 said:
1.Ram sells two types of goods A,B at the same price of Rs 120 whereas they cost him Rs 90 and Rs 160 respectively.Sale for A started from 1 for first day and then went on increasing every day by 4 units,whereas sale of article B was 450 on the first day and went on decreasing every day by 6 units. Ram earns profit after exactly N days.What is the value of N?
30 +30(5) +30*9+....30*(n-1)4
30(1+5+....+4(n-1)]=15n(1+4n-4)=15n(4n-3)


[40*450 +40*444 +.....+40(n-1)-6]
40[450+444+....+(n-1)-6]
20n[450-6(n-1)]
20n(456-6n)


15n(4n-3)>20n(456-6n)

180n^2-45n-9120n>0
180n^2-9165n>0
n>50.91
n=51
@silentstriker said:
In a colony, there are 350 residents. The number of residents who smoke cigar, hookah and cigarette as a percentage of the total number of residents is at least 40%, at least 30% and at least 22% respectively.a) If 50% of the residents do not smoke, then at most how many residents smoke exactly one of cigar, cigarette and hookah?a) 70 b) 175 c) 98 d) 91b) If p is the number of residents smoking all the three, thena) 28 b) 0 c) 0 d) 0
bhai is it b and d?
@heylady said:
952000=P(e^3-8)P=952000/12~79333..
@Abir1103 said:
@heylady hw did u gt tht.......need xplanation plz...
I used the result when the interest is compounded at every moment, then A=Pe^rt
r=R/100 and t is time in years...
@bodhi_vriksha said:
1> Max (4) = 802> Max (5) = 503> Min(C,F,H) = 40Please see my video on how to solve Set problems with any number of variables. The link is as follows.Team BV - Vineet
sir by your method i am getting answer for max(4) as 70.. and i had a doubt in your video to find max(3) why arent you distributing the remaining 60+10 to the area where there are 2,1,0 overlap? by distributing it to 3 overlap you are minimizing the max value na

@silentstriker

b and d?

@silentstriker said:
In a colony, there are 350 residents. The number of residents who smoke cigar, hookah and cigarette as a percentage of the total number of residents is at least 40%, at least 30% and at least 22% respectively.a) If 50% of the residents do not smoke, then at most how many residents smoke exactly one of cigar, cigarette and hookah?a) 70 b) 175 c) 98 d) 91b) If p is the number of residents smoking all the three, thena) 28 b) 0 c) 0 d) 0
are the answers right?