Official Quant thread for CAT 2013

@soumitrabengeri said:
How did you solve it? Can you please share your approach?
Didn't solve (not yet, at any rate)...just figured the distance from 4th house is rt(58)...so diag is > 20 and also
Uske baad got stuck and gave up

regards
scrabbler

@scrabbler said:
Didn't solve (not yet, at any rate)...just figured the distance from 4th house is rt(58)...so diag is > 20 and also Uske baad got stuck and gave up regardsscrabbler
I can't even figure out how the diagram would look like..:P
Thanks..will keep trying
@chillfactor said:
How many different ways can you spell the word €œCONTEST €? by only moving right and /or down. C O N T E S TO N T E S TN T E S TT E S TE S TS TTa) 30 b) 32 c) 64 d) 128 e) none of these
its a simple binary tree where we start with C and then there are 2 ways of selecting O...once we gave selected one of the O's there are two ways in which N can be selected ...so on an so forth...

hence total of 2^6 = 64 ways.

ATDH.
Min. value of

f(x) = (x – 5)^2 + (x – 7)^2 – (x – 4)^2 – (x – 8)^2 + (x – 3)^2 + (x – 9)^2
@bullseyes said:
Min. value of f(x) = (x – 5)^2 + (x – 7)^2 – (x – 4)^2 – (x – 8)^2 + (x – 3)^2 + (x – 9)^2
f(x)=2x^2-24x+84
f'(x)=4x-24=0
==>x=6

min. val = 1+1-4-4+9+9=12
@Torque024 said:
Alby, Benny, Cindy and Dan houses forms a square field ABCD. A cow, in a square field, is 13 meters from Benny's house, 17 meters from Dan's house, and 20 meters from Cindy's house. Find the area of the field. Assume house to be a point object and field to be flat.
@soumitrabengeri now what? u got it?
@krum said:
f(x)=2x^2-24x+84f'(x)=4x-24=0==>x=6min. val = 1+1-4-4+9+9=12
how abt wdout expanding??
@krum said:
@soumitrabengeri now what? u got it?
there is a formula for this rit?? any point in the midst of square is sum of squares from opposite points.

@bullseyes said:
how abt wdout expanding??
how?
@bullseyes said:
there is a formula for this rit?? any point in the midst of square is sum of squares from opposite points.
thats what i used for AO, what now, couldn't figure out how to proceed
@bullseyes said:
Min. value of f(x) = (x – 5)^2 + (x – 7)^2 – (x – 4)^2 – (x – 8)^2 + (x – 3)^2 + (x – 9)^2
avg.of 5,7,4,8,3,9 --> 6 --> x=6
@krum said:
how? thats what i used for AO, what now, couldn't figure out how to proceed
does he provided u wd options? i will write down all.. just need to confirm my answer.
@bullseyes said:
does he provided u wd options? i will write down all.. just need to confirm my answer.
a) 360, b) 359, c) 369, d) 379

p:s - was posted on the same page , i.e the last 1
@krum said:
@soumitrabengeri now what? u got it?
Thanks..got it
@soumitrabengeri said:
Thanks..got it
are i was asking if u got the solution, i can't figure out how to proceed :(
@krum said:
are i was asking if u got the solution, i can't figure out how to proceed
No..i just figured out the diagram for now..:P
@bullseyes said:
Min. value of f(x) = (x – 5)^2 + (x – 7)^2 – (x – 4)^2 – (x – 8)^2 + (x – 3)^2 + (x – 9)^2
f(x) = (x – 5)^2 + (x – 7)^2 – (x – 4)^2 – (x – 8)^2 + (x – 3)^2 + (x – 9)^2
f(x) = (x – 5)^2 + (x – 7)^2 + [ (x – 9)^2 – (x – 8)^2] + [(x – 3)^2 – (x – 4)^2]
f(x) = (x – 5)^2 + (x – 7)^2 + [17-2x] + [2x-7]
f(x) = (x – 5)^2 + (x – 7)^2 + 10

From here we can see that for x= 5 & 7 , f(x) = 10 + 2^2
And for x=6, f(x) = 10 + 2= 12 (Which is also the minimum since sum of these two squares has a minimum value of 2)

Hence minimum = 12
@bullseyes said:
Min. value of f(x) = (x – 5)^2 + (x – 7)^2 – (x – 4)^2 – (x – 8)^2 + (x – 3)^2 + (x – 9)^2
differentiate the above one..and for x=6 u'l get minima. therefore value =12

ABCD is a square. P is the mid point of AB. The line passing through A and perpendicular to DP intersects the diagonal at Q and BC at R. If AB=2 then PR=_______?


A) 1/2

B) sqrt(3)/2

C) sqrt(2)

D) 1

E) None of these
@Zedai If A=2?? Please check
@ScareCrow28 said:
@Zedai If A=2?? Please check
no mann