Official Quant thread for CAT 2013

MBA CAT 2024
27428
@meow14 said:
HELP!!!!If the vowels are given by the symbols !,@,#,$ and % respctvly, then the message 2$%8!5@ will be1) YOU VASE 2)YOU SAVE 3)YIU SAFE 4)YIU SAVE 5)YIU VASE
27429

Q1

27430
@meow14 O is by $, so only 1 nd 2 remains.
And after that counts from Z to S as 1,2,3,4,5,6,7,8
Therefore 8 comes for S.

Answer is YOU SAVE
27431
@vbhvgupta said:
Q1
c?
option c is satisfying the given conditions
27432
@vbhvgupta answer is option C(8,15,17)
27433

Q2 3

27434
@vbhvgupta said:
Q1
c
27435
@iLoveTorres said:
why can't YOU VASE
27436
@vbhvgupta said:
Q2 3
Q2 b Q3 c
27437
@DarkHorse25 said:
Q2 b Q3 c
explain?
27438
@vbhvgupta Q2 b
Q3 c
27439
@vbhvgupta said:
Q2 3
2:

Let roots = a and b, a^2 + b^2 = (a+b)^2 - 2ab = (p-2)^2 + 2(p+1)
Minimum occurs at p = 1

3:

The equation can be re-arranged in the form: (x+p+1)^2 = (p-1)(p-6)
Here, p=6
Also, Product = +ve = 9p-5 | Sum = -ve = -2(p+1)
=> p >=5/9 And p>-1 ..

From both, p>=6 ?
27440
@vbhvgupta use sum of roots = -b/a and product of roots = c/a
only that is required
27441

Q4

27442
@iLoveTorres said:
explanation???
27443
@vbhvgupta said:
Q4
Let the roots be k, l and m

-p = k+l
-q = l+m
-r = m+k

Adding all, (k+l+m) = -(p+q+r)/2
No options matching I don't know where am I going wrong!
27444
@vbhvgupta said:
Q4
p + q + r ?..not sure
27445
@mailtoankit said:
p + q + r ?..not sure
explain
27446
@vbhvgupta said:
Q4
my answer is not matching with any of these answers?
27447
@vbhvgupta said:
explain
for common roots...f(x) - g(x) = 0...f(x) = g(x)

x^2 + px + qr = x^2 + qx + rp ----> x = r
x^2 + qx + rp = x^2 + rx + pq ----> x = p
x^2 + px + qr = x^2+ rx + pq -----> x = q

sum of roots = p + q + r