Official Quant thread for CAT 2013

@sam05 said:
Yea thread itna slow kyu he??
@Aizen @chevy @Estallar12 @jain4444 sab kaha ho??
humme bhul gaye :(
@gs4890 said:
humme bhul gaye
nai bhai apko bhula nai...bas miss ho gaya...
@bs0409 @allan89 sab log chalo thora active hote he yaha..
How many integer values of x and y are there such that 4x+3y=3 while mod(x)
Plz give answer along with explanation.
@sam05 said:
nai bhai apko bhula nai...bas miss ho gaya...
@bs0409 @allan89 sab log chalo thora active hote he yaha..
Present sir...............
@Exodia said:
How many integer values of x and y are there such that 4x+3y=3 while mod(x)
4x = 3(1-y)
x = 3(1-y)/4

y=1,x=0
y=5,x=-3
y=9,x=-6
y=13,x=-9
.
.
.
y=497,x=-372
=> total = (372-0)/3 + 1 = 125 solutions

3y = 3-4x
y = (3-4x)/3 or y = 1 - 4x/3

x=3,y=-1
x=6,y=-5
x=9,y=-9
.
.
.
x=375,y=-497
=> total = (375-3)/3 + 1 = 125 solutions

So, total number of solutions = 125+125 = 250...

@sam05 said:
nai bhai apko bhula nai...bas miss ho gaya...@bs0409@allan89 sab log chalo thora active hote he yaha..
jo hukum sahaab!! I was getting myself geared up... but u tell me, u have got calls na?

EDIT: i WILL BE BACK after dinner....
@Exodia said:
How many integer values of x and y are there such that 4x+3y=3 while mod(x)
4x+3y=3
x=0,y=1 satisfies.
So general solution is of the form x=3t,y=1-4t
Now for |3t|
we have -166
also for |1-4t|
-500
-499
-124
so total of 250 values of t
@Exodia said:
How many integer values of x and y are there such that 4x+3y=3 while mod(x)

4x + 3y = 3
y = 3 - 4x/3
x = 0.....y = 1
x = 3.....y = -3
..........
..........
...........
x = 375.....y = -499

no. of solutions = (375 - 3)/3 + 1 = 125
x = 0......y = 1
x = -3.......y = 5
x = -6......y = 9
.........
.............
............
x = -372.......y = 497

no . of solutions = (497 - 1)/4 + 1 = 125
total solutions = 125 + 125 = 250 ?
The area of triangle formed by the point (p,2-2p) , (1-p,2p) and (-4-p,6-2p) is 70 units. How many integral values of p are possible.?
A. 2 B. 3 C. 4 D. None of these
@mailtoankit said:
4x + 3y = 3y = 3 - 4x/3x = 0.....y = 1x = 3.....y = -3...............................x = 375.....y = -499no. of solutions = (375 - 3)/3 + 1 = 125 x = -3.......y = 5x = -6......y = 9..................................x = -372.......y = 497no . of solutions = (497 - 5)/4 + 1 = 124total solutions = 125 + 124 = 249 ?
bold wale mein ek miss kar diya aapne --> y=1,x=0 wala...

total 250 honge...
@Logrhythm said:
bold wale mein ek miss kar diya aapne --> y=1,x=0 wala...total 250 honge...
@bs0409 said:
The area of triangle formed by the point (p,2-2p) , (1-p,2p) and (-4-p,6-2p) is 70 units. How many integral values of p are possible.?A. 2 B. 3 C. 4 D. None of these
i m gettin nly 1 integral value i.e 4???
@bs0409 said:
The area of triangle formed by the point (p,2-2p) , (1-p,2p) and (-4-p,6-2p) is 70 units. How many integral values of p are possible.?A. 2 B. 3 C. 4 D. None of these
8p^2 + 4p - 144 = 0

only 1 integer value of p?? none of these??
@bs0409 said:
The area of triangle formed by the point (p,2-2p) , (1-p,2p) and (-4-p,6-2p) is 70 units. How many integral values of p are possible.?A. 2 B. 3 C. 4 D. None of these
only 1 value ?

70 = 1/2 |(2p - 1)(4p - 6) - 5(2 - 4p)|

8p^2 + 4p - 144 = 0
2p^2 + p - 36 = 0
(p - 4)(2p + 9) = 0
p = 4 ?
@mailtoankit said:
only 1 value ?70 = 1/2 |(2p - 1)(4p - 6) - 5(2 - 4p)|8p^2 + 4p - 144 = 02p^2 + p - 36 = 0(p - 4)(2p + 9) = 0p = 4 ?
How did you get this equation. I tried the matrix method...

@saurav205 said:
How did you get this equation. I tried the matrix method...
yaar matrix method se hi aaye hai....
@saurav205 said:
How did you get this equation. I tried the matrix method...
gt it by using d formula!!!
@mailtoankit said:
yaar matrix method se hi aaye hai....
kuch galti kiya hoga maine fir...
@mohitjain said:
gt it by using d formula!!!
which formula??
@saurav205 said:
which formula??
area=1/2mod(x1(y2-y3)+x2(y3-y1)+x3(y1-y2)
aftr dis we get d equation as 2p^2+p=36
and solving dis we get p=4