Official Quant thread for CAT 2013



@bodhi_vriksha

is it 14/49 ...this time sure 😃
@pratyush9811 said:
@vbhvgupta for Q.2 she buys 12 apples for 12 rs initially (costing rs 1 per apple) after bargaining she saves 1 rs with which she gets another apple. I feel OA provided is wrong.

@VSK1608
dont have explanation but OA given is 15.
@vbhvgupta said:
Q2
Is it 13,...? for the second qn..
@albiesriram No your answer is still not right :(
Try again 😃 I am yet to get the right answer :)

Team BV--Pratik Gauri


@Crysis said:
@bodhi_vrikshais it 14/49 ...this time sure
No :(

Team BV--Pratik Gauri
@VSK1608 If its 13 then each apple will cost 1.083 and then after bargaining she wont be able to get an extra apple as she will be only left with 1 rs.
@albiesriram 52/7 😃
@Crysis said:
@albiesriram 52/7
nope/
@albiesriram said:
-52/7 ??
@albiesriram said:
replace x+2 by 1/x+2
x+2=1/x+2
x=1/x+2-2

9f(x+2)+12f(1/x+2) =12x

12f(1/x+2) +16f(x+2) =16(1/x+2 -2)
7f(x+2) =16/x+2 -32 -12x
x=2
7f(4)=4-32-24
f(4)=-52/7
@bodhi_vriksha
@bodhi_vriksha said:
No Team BV--Pratik Gauri
Okay this time I will share my approach....

Say we move the upper half by a distance of d along the diagonal....
So at any instance the area overlapped = two triangles with d/sqrt(2) as their sides(isoceles) and a rectangle with d and (sqrt(2) - 2d ) as sides

So the area = d(sqrt(2)-2d) + d^2/4
differentiating w.r.t d, we get d = sqrt(2)/3

so the area = 3/9 = 1/3 😃

sorry for the calc. mistake.....

its 1/3 😃
@bodhi_vriksha said:
One from my side : A square of unit diagonal is cut along one of the diagonals, and the two parts are moved towards each other along the line of the other diagonal. What is the maximum possible area of the overlapping region?Team BV--Pratik Gauri


square of unit diagonal... oh my god,,

I was calculating for unit square .

The answer must be 1/6 then..


@Subhashdec2 said:
20*5/4 = 25=MP25*x^2=20.25x=81/100hence 19% discount25*1.19*1.19-20=15.402515.4025-.25=15.1525/.25=60.61=6061% aa rha hwhere m i gng wrong?
bhai appprox 20% discount le rahe ho.. first discount ke baad hi value 20.25 se kam ho jayegi..
@iLoveTorres said:
bhai appprox 20% discount le rahe ho.. first discount ke baad hi value 20.25 se kam ho jayegi..
haan bhai wo dekh lia
galat h wo i know

thanks though
@albiesriram said:
square of unit diagonal... oh my god,,I was calculating for unit square .The answer must be 1/6 then..
Correct
Share your approach along with a diagram :)

@Crysis Wrong :(

Team BV--Pratik Gauri

@albiesriram -52/7!!!

@bodhi_vriksha said:
Correct Share your approach along with a diagram @Crysis Wrong Team BV--Pratik Gauri
me too getting 1/6 . ...parts are moved in such a way that the diagonal is divided into 3 parts.
hexagon banega na?


@albiesriram said:
Put x=4 and x= -1.75 , we get
3f(4) + 4f(0.25)=8
3f(0.25) + 4f(4)=-4*175/100

Solve these eq , f(4)= -52/7 :)

Team BV--Pratik Gauri

Q 33 and 34