Official Quant thread for CAT 2013

MBA CAT 2024
12401
@joyjitpal said:
nope can u plz elaborate union me (1+1/3) kaha se aya?
if u rotate the triangle abt its centroid , u will get a star-like figure. each of the outside triangle of the star is 1/9 of the area of ABC. there are six such triangles so 6/9 =2/3 . now the common part is 2/3 of ABC. so 2/3+2/3=4/3 * ABC
12402
@DarkHorse25 said:
if u rotate the triangle abt its centroid , u will get a star-like figure. each of the outside triangle of the star is 1/9 of the area of ABC. there are six such triangles so 6/9 =2/3 . now the common part is 2/3 of ABC. so 2/3+2/3=4/3 * ABC
yaar samjh nahi aaya....six triangles kaise banege??
12403
@mailtoankit said:
yaar samjh nahi aaya....six triangles kaise banege??
have u drawn the figure?
12404
@DarkHorse25 said:
have u drawn the figure?
not able to draw the fig.....can you plz draw and upload the attachment..
12405
@mailtoankit said:
yaar samjh nahi aaya....six triangles kaise banege??
how many triangle u got?
12406
@mailtoankit said:
not able to draw the fig.....can you plz draw and upload the attachment..
kaise draw karke upload karte hain woh nehi pata mujhe .. warna explain karna easy hota...
12407
@DarkHorse25 said:
kaise draw karke upload karte hain woh nehi pata mujhe .. warna explain karna easy hota...
draw it on a notebook...take a photo and upload it....if possible..
12408
a solid spherical ball of radius 3 units with a cylindrical hole is kept on one of a cylinder such that half the ball is inside the cylinder.the hole in the spherical ball has a diameter of 0.5 units and the axis of the hole is perpendicular to the mouth of the cylinder.the cylinder has a diameter of 6 units and height of 12 units.if water is filled into the cylinder thru the hole in the ball,what is the approx volume that can be filled without overflowing?
12409
@hari_bang said:
a solid spherical ball of radius 3 units with a cylindrical hole is kept on one of a cylinder such that half the ball is inside the cylinder.the hole in the spherical ball has a diameter of 0.5 units and the axis of the hole is perpendicular to the mouth of the cylinder.the cylinder has a diameter of 6 units and height of 12 units.if water is filled into the cylinder thru the hole in the ball,what is the approx volume that can be filled without overflowing?
84.25pi
75pi
95.75pi
90.375pi
12410
@hari_bang said:
84.25pi75pi95.75pi90.375pi
90.375pi
12411
@hari_bang said:
84.25pi75pi95.75pi90.375pi
90.375pi?
12412

How many integral solutions exist for |x|+|y|=7?

Guys please share the approach as well......?
12413

let a,b,c be positive real numbers.Determine the largest number of real roots that the following three polynomials may have among them:ax^2+bx+c,bx^2+cx+a,cx^2+ax+b...

12414
@bhatkushal said:
How many integral solutions exist for |x|+|y|=7?Guys please share the approach as well......?
28


@bhatkushal said:
let a,b,c be positive real numbers.Determine the largest number of real roots that the following three polynomials may have among them:ax^2+bx+c,bx^2+cx+a,cx^2+ax+b...
0 ?
12415
@bhatkushal said:
How many integral solutions exist for |x|+|y|=7?Guys please share the approach as well......?
28??
|y|=7-|x|
x=0,y=+-7.....2 solution
x=+-1,y=+-6....4 solution
..........
..........
.........
till x=+-6,y=+-1....4 solutions
x=+-7,y=0.....2 solution

so total solution...2+2+6*4=4+24=28
12416
@bhatkushal said:
How many integral solutions exist for |x|+|y|=7?Guys please share the approach as well......?
28
12417
@krum said:
28 0 ?
Sir it seems ans will be 0.. can u please explain?
12418
@mailtoankit said:
90.375pi?
share approach...
12419
@bhatkushal said:
How many integral solutions exist for |x|+|y|=7?Guys please share the approach as well......?
|x|+|y| = k has 4k integral solutions, always.

so here. 4*7 = 28 integral solutions.
12420
@Enceladus said:
|x|+|y| = k has 4k integral solutions, always. so here. 4*7 = 28 integral solutions.
is dis sortcut?
always?