Official Quant thread for CAT 2013

@shinoda said:
no..share ur approach though.
haan..galat hai...meine equilateral triangle se bane cone ka volume nikal diya..
@amresh_maverick said:
C= 4 ??
OA is given as 1..! I guess OA must be wrong..! Can you explain.?
@joyjitpal said:
i am getting 28but there arent any options
i am also getting something like that
Two persons start walking on road that diverge at an angle 120. if they walk at the rate of 3km/h and 2km/h respectivly. find the distance between them after 4 hours.?
@shinoda said:
IF V be the volume of a cuboid of dimension x,y,z and A is its surface area then A/V will be equal to ?a) (xyz)^2b) 1/2 (1/xy + 1/xz + 1/yz )c) 1/2 (1/x + 1/y + 1/z)d)none
d) none :|

2(xy+yz+zx)/xyz = 2(1/x + 1/y + 1/x)
@shinoda said:
IF V be the volume of a cuboid of dimension x,y,z and A is its surface area then A/V will be equal to ?a) (xyz)^2b) 1/2 (1/xy + 1/xz + 1/yz )c) 1/2 (1/x + 1/y + 1/z)d)none
c) 1/2 (1/x + 1/y + 1/z)
@sbharadwaj said:
OA is given as 1..! I guess OA must be wrong..! Can you explain.?
The last line says :

The no of players playing (both is missing here) golf and volleyball is same as the no of players playing all the three

If we consider this and take c=1 then no of players playing all the three will come out as 0
which is not possible

Where am I going wrong ?
@sbharadwaj said:
Plz explain this Q..! Q attached.!
1 ?

let all three = x = both golf and volleyball but not cricket
both golf and cricket but not volleyball = 15 - x
both cricket and volleyball but not golf = 14 - x
only golf = x + x + 15 - x + a = 40----> a = 25 - x
only cricket = 15 - x + x + 14 - x + b = 30-----> b = x + 1
only volley ball = x + x + 14 - x + c = 30----> c = 16 - x

min value of only cricket can be 1 at x = 0 ??
@shinoda said:
Two persons start walking on road that diverge at an angle 120. if they walk at the rate of 3km/h and 2km/h respectivly. find the distance between them after 4 hours.?
root 304
@mailtoankit said:
1 ?let all three = x = both golf and volleyball but not cricketboth golf and cricket but not volleyball = 15 - xboth cricket and volleyball but not golf = 14 - xonly golf = x + x + 15 - x + a = 40----> a = 25 - xonly cricket = 15 - x + x + 14 - x + b = 30-----> b = x + 1only volley ball = x + x + 14 - x + c = 30----> c = 16 - xmin value of only cricket can be 1 at x = 0 ??
Yes..OA is 1.

But then, will the total sum up to 80.? (Total no. of students)
@Exodia said:
Find the 28383rd term of the series: 12345678910111213........1) 32) 43) 9d) 7Plz give answer alongwith explanation.
3?

see, single digits ... 9
double digits.. 90*2=180
similarly three digit number.. 900*3=2700

total of 2889 digits.
left 28383-2889= 25494.

now find what will be the 25492th number. it will be.. 7372
how to find this.. divide
25492 by 4 and u'll get 6372nd number from 1000 which is 7372.


now we have got 28381 digits.. (2889+25492)

next no. willbe 7373.. which mean 4 more digits but we are intersted in 28383rd digit only..

or..... some digits here..737273(73) .. hence 3. :)
@shinoda said:
the section of a solid right circular cone by a plane containing vertex and perpndiculr to base is an equilateral triangle of side 12cm.find volume of cone ?
is it 36pi*root12
@sbharadwaj said:
Yes..OA is 1. But then, will the total sum up to 80.? (Total no. of students)
nopes it is not happening

then total becomes 71

isnt it?
@shinoda said:
Two persons start walking on road that diverge at an angle 120. if they walk at the rate of 3km/h and 2km/h respectivly. find the distance between them after 4 hours.?
Using cosine : third side =_/304
@sbharadwaj said:
Yes..OA is 1. But then, will the total sum up to 80.? (Total no. of students)
71 aa raha hai...
@mailtoankit said:
1 ?let all three = x = both golf and volleyball but not cricketboth golf and cricket but not volleyball = 15 - xboth cricket and volleyball but not golf = 14 - xonly golf = x + x + 15 - x + a = 40----> a = 25 - xonly cricket = 15 - x + x + 14 - x + b = 30-----> b = x + 1only volley ball = x + x + 14 - x + c = 30----> c = 16 - xmin value of only cricket can be 1 at x = 0 ??
then total becomes 71

but not possible
@joyjitpal said:
i am getting 28but there arent any options@Estallar12 approach?

@hedonistajay said:
approach ...

@Estallar12 said:
108 values.
Bhai, we need to find how many combinations will give 7000.
Like 777*8 + 77*3 + 7*79 = 7000.

Taking 3P as Number of 7 used as 777.
Taking 2Q as Number of 7 used as 77.
Taking R as Number of 7 used as 7.

So, we have to find 3P + 2Q + R = ??
@shinoda said:
Two persons start walking on road that diverge at an angle 120. if they walk at the rate of 3km/h and 2km/h respectivly. find the distance between them after 4 hours.?
Apply Cosine Rule.

Base = 4 root (19).
@Estallar12 said:
Bhai, we need to find how many combinations will give 7000.Like 777*8 + 77*3 + 7*79 = 7000.Taking 3P as Number of 7 used as 777.Taking 2Q as Number of 7 used as 77.Taking R as Number of 7 used as 7.So, we have to find 3P + 2Q + R = ??
we can also take 777*9 plus 7 equal to 7000

in that case what will be our ans?
@sbharadwaj said:
Yes..OA is 1. But then, will the total sum up to 80.? (Total no. of students)
@Estallar12 bhai ye sum thora dekhna