Official Quant thread for CAT 2013

@chandrakant.k said:
i thought more than necessary
But i like ur logic...Complex series are fun to solve..
@mbajamesbond said:
Each root of the equation ax^3 – 7x^2 + cx + 231 = 0 is an integer. One of the roots is - 1/2 times the sum of the other two roots. What is the sum of all the possible values of a?a17 b–7 c–17 dNone of these
x+y+z=7/a

xy+yz+xz=c/a

xyz=-231

y+z=-2x

==> x=-7/a
-2*49/a^2+231/7*a=c/a

==> -98+33a=ca
==> a=98/(33-c)

98=7^2*2

so all values will come in pairs of positive and negative ==> 0

d.none?
@mbajamesbond said:
Look at this series: 8, 22, 8, 28, 8, ... What number should come next?A. 9 B. 29C. 32 D. 34
D 34...
Alternate positions..8 ke alternate main 8 hai...22+6=28+6=34 answer..wats the OA?
@saurav5517 said:
D 34...Alternate positions..8 ke alternate main 8 hai...22+6=28+6=34 answer..wats the OA?
34 it is.
@mbajamesbond said:
Each root of the equation ax^3 – 7x^2 + cx + 231 = 0 is an integer. One of the roots is - 1/2 times the sum of the other two roots. What is the sum of all the possible values of a?a17 b–7 c–17 dNone of these
non
@mbajamesbond said:
Each root of the equation ax^3 – 7x^2 + cx + 231 = 0 is an integer. One of the roots is - 1/2 times the sum of the other two roots. What is the sum of all the possible values of a?a17 b–7 c–17 dNone of these



OA none
There are two boxes – I and II. Each contains balls of two colours – White and Black. A ball is selected at random. It is known that P(W ∩ I) = 0.3 and P(B'|II) = 0.8, where W, B, I and II represent the events White ball selected, Black ball selected, ball selected from Box I and ball selected from Box II respectively. Find P(I|B).


@mbajamesbond said:
There are two boxes – I and II. Each contains balls of two colours – White and Black. A ball is selected at random. It is known that P(W ∩ I) = 0.3 and P(B'|II) = 0.8, where W, B, I and II represent the events White ball selected, Black ball selected, ball selected from Box I and ball selected from Box II respectively. Find P(I|B).
Anyone solving this
@mbajamesbond

Should be 2/3.. 😃 Bhai Sahi hai ya Galat??
@mbajamesbond said:
There are two boxes – I and II. Each contains balls of two colours – White and Black. A ball is selected at random. It is known that P(W ∩ I) = 0.3 and P(B'|II) = 0.8, where W, B, I and II represent the events White ball selected, Black ball selected, ball selected from Box I and ball selected from Box II respectively. Find P(I|B).
7/9?
the function f, defined by f(x) = |2x| + 4 for all numbers x. For which of the following functions g defined for all numbers x does the graph of g intersect the graph of f ?

  1. g of x = x minus 2
  2. g of x = x + 3
  3. g of x = 2x minus 2
  4. g of x = 2x + 3
  5. g of x = 3x minus 2ďťż
Each employee of a certain company is in either Department X or Department Y, and there are more than twice as many employees in Department X as in Department Y. The average (arithmetic mean) salary is $25,000 for the employees in Department X and $35,000 for the employees in Department Y. Which of the following amounts could be the average salary for all of the employees of the company?
Indicate all such amounts.
$26,000
$28,000
$29,000
$30,000
$31,000
$32,000
$34,000
@tarun.g said:
Each employee of a certain company is in either Department X or Department Y, and there are more than twice as many employees in Department X as in Department Y. The average (arithmetic mean) salary is $25,000 for the employees in Department X and $35,000 for the employees in Department Y. Which of the following amounts could be the average salary for all of the employees of the company?Indicate all such amounts.$26,000$28,000$29,000$30,000$31,000$32,000$34,000
28000?
@tarun.g said:
the function f, defined by f(x) = |2x| + 4 for all numbers x. For which of the following functions g defined for all numbers x does the graph of g intersect the graph of f ?
g(x)=3x-2?
@19rsb said:
g(x)=3x-2?
please post your approach too
@tarun.g said:
the function f, defined by f(x) = |2x| + 4 for all numbers x. For which of the following functions g defined for all numbers x does the graph of g intersect the graph of f ?

2x+4=3x-2
=> x=6

g(x)=3x-2 at (6,16)
@tarun.g said:
Each employee of a certain company is in either Department X or Department Y, and there are more than twice as many employees in Department X as in Department Y. The average (arithmetic mean) salary is $25,000 for the employees in Department X and $35,000 for the employees in Department Y. Which of the following amounts could be the average salary for all of the employees of the company?Indicate all such amounts.$26,000$28,000$29,000$30,000$31,000$32,000$34,000
I think both 26000 and 28000 are possible
If we take the least value of X employees which are double that of Y employees, we get
25000*2+35000=85000
Avg = 85000/3 = 28333.33
This is the max value that can be obtained as average and as such, only options 1 and 2 satisfy the conditions.
Please correct me if i am wrong
@soumitrabengeri said:
I think both 26000 and 28000 are possibleIf we take the least value of X employees which are double that of Y employees, we get25000*2+35000=85000Avg = 85000/3 = 28333.33 This is the max value that can be obtained as average and as such, only options 1 and 2 satisfy the conditions.Please correct me if i am wrong
OA given is 26000 and 28000, but i am not able to find the values at which we will get this average and how do i find the range of average
@tarun.g said:
OA given is 26000 and 28000, but i am not able to find the values at which we will get this average and how do i find the range of average
Dont try and find the values at which you will get 26000 and 28000
We know that the value cannot exceed 28333.33
That's how i arrived at the answer..without options maybe i would not have been able to solve
Please consult the quant gods for any alternate method and please tag me when an alternate method is posted

A test has 80 questions. There is one mark for a correct answer, while there is a negative penality of -1/2 for a wrong answer and -1/4 for an unattempted question. It is known that he has left 10 questions unanswered and scored 34.5 marks.


The number of correct answers are????


Plz explain???