Official Quant thread for CAT 2013

@nramachandran said:
If log a to the base c = 1/2 ,If log b to the base d = 1/3 , where a, b, c and d are distinct natural numbers and a
36??
@DeAdLy said:
bhai 320 aa raha tha.. to break even min 320 chahiye.. so chose approximate 350.. agar 300 hai toh batao

if a commission of 10% is given on the marked price of a book the publisher gains 20%. if the comission is increased to 15%, the gain of publisher?

@mailtoankit said:
-80 ?
Can u please explain
@mailtoankit said:
-80 ?
Can u please explain
@iLoveTorres said:
bhai 320 aa raha tha.. to break even min 320 chahiye.. so chose approximate 350.. agar 300 hai toh batao
nai bhai solve karna padega tumhe pura..
aur saare option 300+ hai
@nramachandran said:
If log a to the base c = 1/2 ,If log b to the base d = 1/3 , where a, b, c and d are distinct natural numbers and a
logcA = 1/2
logdB = 1/3
a = c^1/2;
a=2; c =4;
d = b^1/3
b=3; d=27;
Hence, a+b+c+d = 36..?
@nramachandran said:
If log a to the base c = 1/2 ,If log b to the base d = 1/3 , where a, b, c and d are distinct natural numbers and a
36 aa raha hai....
b=d^1/3..so minimum d = 27
b=3
a= c^1/2
minimum c= 4
a=2
total 36



@nramachandran said:
If log a to the base c = 1/2 ,If log b to the base d = 1/3 , where a, b, c and d are distinct natural numbers and a
36 aa raha hai....
b=d^1/3..so minimum d = 27
b=3
a= c^1/2
minimum c= 4
a=2
total 36



@nramachandran said:
A function f(x) is defined as (x + 1) × f(x + 1) + x × f(x) + (x – 1) × f(x – 1) = 0 for x ≥ 2 . If f(1) = 40 and f(6) = 180, find the value of f(14).
Replace x by x+1 in the function and take difference of the new equation with the previous equation to get (x+2)f(x+2)=(x-1)f(x-1)

So, f(1)=4f(4)=7f(7)=10f(10)=13f(13) and 6f(6)=9f(9)=12f(12)=15f(15)

Put x=14 in the original equation.

15f(15)+14f(14)+13f(13)=0 =>6f(6)+14f(14)+f(1)=0 => f(14)=(-6*180 - 40)/14 = -80

Team BV
@DeAdLy said:
nai bhai solve karna padega tumhe pura..aur saare option 300+ hai
sorry.. big blunder its 435.. answer which i am getting is 432.9.. aur agar yeh bhi wrong hai toh mein pagalguy quit kar raha hoon..
@iLoveTorres said:
sorry.. big blunder its 435.. answer which i am getting is 432.9.. aur agar yeh bhi wrong hai toh mein pagalguy quit kar raha hoon..
are ek question ke peeche i quit nai karo bhai
answer 435 hai.

ab solution post kar do
@nramachandran said:
Can u please explain
start from x = 2
3f(3) + 2f(2) + 1f(1) = 0
3f(2) + 2f(2) = -40
4f(4) + 3f(3) + 2f(2) = 0
4f(4) - 40 = 0
4f(4) = 40

now put x = 5
6f(6) + 5f(5) + 4f(4) = 0
6*180 + 5f(5) + 40 = 0
5f(5) = -1120
7f(7) + 6f(6) + 5f(5) = 0
7f(7) + 1080 - 1120 = 40

proceed like this only..

14f(14) + 13f(13) + 12f(12) = 0
14f(14) + 40 + 1080 = 0
14f(14) = -1120
f(14) = -80

koi or short method hai...
@mailtoankit said:


koi or short method hai...
Please see my solution above!
@vbhvgupta said:
if a commission of 10% is given on the marked price of a book the publisher gains 20%. if the comission is increased to 15%, the gain of publisher?
100 marked price
commision 10%... price.. 90.

cp=x
1/5=(90-x)/x
x=450-5x
6x=450
x=75

commission =15% ... price 85
gain% = 10*100/75
=13.33%?

correct me if i m doing it wrong. :)

A retailer buy a tv at a discount of 15 % and sels it for 5865, thus making a profit of 15%. the discount is?

@ChirpiBird said:
100 marked pricecommision 10%... price.. 90.cp=x1/5=(90-x)/xx=450-5x6x=450x=75commission =15% ... price 85gain% = 10*100/75=13.33%?correct me if i m doing it wrong.
sahi hai bhai..
@DeAdLy said:
are ek question ke peeche i quit nai karo bhaianswer 435 hai.ab solution post kar do
baat answer ki nahi hai it proves i got to work on my maths skills..
Look first calculate the cost incurred by the newspaper company by selling 12000 copies
C.P = 12000*11=132000
Now lets calculate the income by selling it at the marked price but if the newspaper agency receives 40% incentive on rs 3 it means the agency gives the newspaper company rs 1.8/newspaper
Thus for 12000 newspaper the company receives 12000*1.8=21600
hence a loss of 132000-21600 = 110400

Now the company prices the advertisement price as 300 per centimeter and gives a incentive of 15% so the company gets 300 - 15% of 300 = 255/ad
but the company has to make up a loss of 110400
So the minimum break even point where the company ends up in profit will be at 110400/255 = 432.9 ~435
@vbhvgupta said:
A retailer buy a tv at a discount of 15 % and sels it for 5865, thus making a profit of 15%. the discount is?
x = 100/115 * 100/85 * 5865
x = 6000

Thus, discount = 900 ?
@vbhvgupta said:
A retailer buy a tv at a discount of 15 % and sels it for 5865, thus making a profit of 15%. the discount is?
900?