Official Quant thread for CAT 2013

MBA CAT 2024
25828
@albiesriram said:
36pi
25829
@albiesriram said:
36pi
25830
@scrabbler said:
-20100?paper saving bhaiyon...regardsscrabbler
bro isko solve karne ka ek aur tareka hai na? sum of squares of odd - sum of squares of even. Though the return on investment on time isnt great compared to forming AP, but do correct my formula for the sum of squares if they are wrong

Odd n(2n-1)(2n+1)/3
Even n(2n+1)(4n+1)/3
25831
@Buck.up said:
If x^2 + y^2 - 4x - 6y + 13 = 0, then what is x:y?
2:3
25832
@Buck.up said:
If x^2 + y^2 - 4x - 6y + 13 = 0, then what is x:y?
2/3
25833
@Buck.up said:
If x^2 + y^2 - 4x - 6y + 13 = 0, then what is x:y?
x=2 y =3
x:y =2:3
25834
@Buck.up said:
If x^2 + y^2 - 4x - 6y + 13 = 0, then what is x:y?
x(x-4) + y(y-6) + 13 = 0
or x(x-4) + y(y-6) = -13
so x=2 and y=3
x:y = 2:3
25835

@iLoveTorres said:

bhai apka sum add karenge tho n(n+1)(2n+1)/6 nahi aathi hai.
@iLoveTorres said:

Odd n(2n-1)(2n+1)/3Even n(2n+1)(4n+1)/3
25836
@Buck.up said:
If x^2 + y^2 - 4x - 6y + 13 = 0, then what is x:y?
2:3
25837
@albiesriram said:
36pi
25838
@Buck.up said:
If x^2 + y^2 - 4x - 6y + 13 = 0, then what is x:y?
(x-2)^2 +(y-3)^2=0
x=2
y=3
2:3
25839
@albiesriram said:
option d?
25840
@albiesriram said:
R^2 - r^2 = 36
so, PI(R^2 - r^2) = 36(PI)

25841
@Buck.up said:
36pi
@rnishant231 said:

so, PI(R^2 - r^2) = 36(PI)
@Narci said:
option d?
OA
25842
@iLoveTorres said:
bro isko solve karne ka ek aur tareka hai na? sum of squares of odd - sum of squares of even. Though the return on investment on time isnt great compared to forming AP, but do correct my formula for the sum of squares if they are wrongOdd n(2n-1)(2n+1)/3Even n(2n+1)(4n+1)/3
My approach was different - I just looked at it as (200^2 - 199^2) = 200 + 199 and so on, so the result was -(200 +199 + 198 + 197....+ 2 + 1) = - 200*201/2 = - 20100...

regards
scrabbler
25843
Let x be a real number between 0 and 28, inclusive. Find the smallest possible value of .
_/ (x^2+ 20^2 ) + _/ ( (28-x)^2+25^2)

A) 40 B) 41 C) 53 D) 55
25844
@scrabbler said:
My approach was different - I just looked at it as (200^2 - 199^2) = 200 + 199 and so on, so the result was -(200 +199 + 198 + 197....+ 2 + 1) = - 200*201/2 = - 20100...regardsscrabbler
No wonder you are the DUDE

PS sorry for spamming :P
25845
@Buck.up said:
What is 1^2 - 2^2 + 3^2 - 4^2.......................+199^2 - 200^2?
-20100
25846
@Buck.up said:
If x^2 + y^2 - 4x - 6y + 13 = 0, then what is x:y?
2:3
25847
@vbhvgupta said:
how much % more than the CP shd a shopkeeper mark his good so that after allowing a discount of 12.5% he should have a gain of 5% on his outlay
20%