The PaGaLGuY UnderDogs Team 2012

@mohit07 said:
ďťż
Koi iska approach bata do pls
ďťż
mujhe bhi prob hain isme... Koi plz approach batao...
@techgodajay said:
so what are you guys planning to do in the last few days before CAT? share ur plans if you are comfortable with it
sirjee, i am planning to revise all basic terms and concepts, all d aimcats to check d mistakes i made and to be conscious not to repeat them, give a few sectional tests and fewer mocks, and keep my temperament calm and composed,,, please advise anything else i should be working upon
@nits2811 said:
But just a small doubt...in the last question it says which of these cannot be inferred...option 4 says none of the above...so i thot it meant we cannot infer anything...i was sure of 1 and 3...so dint bother to chek for 2 and marked it...the options are ambiguous in this case...
I suppose it meant ki Option 1 , 2 3 can be inferred... hence There are none which cannot be inferred
@nits2811 said:
Some numbers can be expressed as the sum of three of their factors. E.g. 12 can be expressed as the sum of 2, 4 and 6. How many other such numbers are there which are less than 100?
a 16
b 15
c 7
d 2
Iski approach batao koi ??
1-5 cannot be expressed... 6 = 1+2+3, 7-11 cannot be expressed 12 = 2 + 4 + 6..
i think answer should be 16.. every number divisble by 6 can be expressed,eg 18 = 3 + 6 + 9/..
and also 16 is the max. of all the options.. sorry ans should be 15 as 12 cannot be counted again.. missed d trick

@allan89 said:
I suppose it meant ki Option 1 , 2 3 can be inferred... hence There are none which cannot be inferred
But option should hv said something lyk all can be inferred...i guess its not absolutely clear...but the examiner shld be more wary of setting the options in these type of questions...waise hi jaldi mein hote hain toh galtiyan ho sakti hain...
@nits2811 said:
But option should hv said something lyk all can be inferred...i guess its not absolutely clear...but the examiner shld be more wary of setting the options in these type of questions...waise hi jaldi mein hote hain toh galtiyan ho sakti hain...
32. Which of the following cannot be inferred from the passage ?
(1) Europe has supported the theme of multiculturalism which has led to a fractured sense of national identity.
(2) The sense of National Pride in America makes American people identify with the nation more than anything else .
(3) Australia €™s sense of National Pride is rooted in the past whereas America €™s sense of National Pride is forward-looking.
(4) None of the above

The Question clearly says which CANNOT be inferred..a very standard type of question bhai!!
@mohit07 16.5??

i did by finding the efficiencies of A,R,K
A R K
1 2/3
1 1/3
9 6 2

now A&K; can build the 2nd wall in 18 days so (9+2)*18 is equivalent to 144
so 204 will be equivalent to (198/144)*204 and time is /9+6+2 so 16.5
@mohit07 @allan89 A verbose explanation below, actual execution is faster...

Let the units of work done by these guys per day be denoted by A, R and K.

Now, 100 m wall is to be completed at the rate of A+R units per day. But since R is absent, it is done at A units per day. This takes 200/3 % more time = 2/3rd more time=5/3rd times the planned time. When time taken is 5/3rd, it means work rate is 3/5th of original. Hence A contributes only 3/5th to work rate of A+R. Clearly, R would have done 2/5th of work (had he been present) and the ratio of work (efficiency) is=> A:R = 3:2.

Apply the same logic to the second wall (Karan absent) to get R:K = 3:1. Combine with previous ratio to get combined ratio of efficiency as A:R:K = 9:6:2. Let A=9x, R=6x and K=2x.

Similar to ankit3007's explanation, now you can find reqd time by ratios.
If A+K work together, the work done is 11x.
Hence, 144 units/11x is equivalent to 18 days.
=> 204 units/17x is equivalent to 16.5 days
@billuisback said:
32. Which of the following cannot be inferred from the passage ?
(1) Europe has supported the theme of multiculturalism which has led to a fractured sense of national identity.
(2) The sense of National Pride in America makes American people identify with the nation more than anything else .
(3) Australia €™s sense of National Pride is rooted in the past whereas America €™s sense of National Pride is forward-looking.
(4) None of the above
The Question clearly says which CANNOT be inferred..a very standard type of question bhai!!
woh toh thk h bhai..kuch zyada hi soch lia...anyways..
@allan89 said:
mujhe bhi prob hain isme... Koi plz approach batao...
16.5 days, approach - (100/(a+r))(5/3)=100/a;
(144/(r+k))(4/3)=144/r;
144/a+k=18;
these three eqns give us the no of metres/day;
so finally 204/a+k+r=16.5 days with a=72/11m/day;k=16/11m/day;r=48/11m/day
@RoadKill said:
@mohit07 @allan89 A verbose explanation below, actual execution is faster... Let the units of work done by these guys per day be denoted by A, R and K.Now, 100 m wall is to be completed at the rate of A+R units per day. But since R is absent, it is done at A units per day. This takes 200/3 % more time = 2/3rd more time=5/3rd times the planned time. When time taken is 5/3rd, it means work rate is 3/5th of original. Hence A contributes only 3/5th to work rate of A+R. Clearly, R would have done 2/5th of work (had he been present) and the ratio of work (efficiency) is=> A:R = 3:2.
Apply the same logic to the second wall (Karan absent) to get R:K = 3:1. Combine with previous ratio to get combined ratio of efficiency as A:R:K = 9:6:2. Let A=9x, R=6x and K=2x.
Similar to ankit3007's explanation, now you can find reqd time by ratios.
If A+K work together, the work done is 11x. Hence, 144 units/11x is equivalent to 18 days.
=> 204 units/17x is equivalent to 16.5 days
Our brain waves are quite in phase.......although in this qstn i took that A takes 2T/3 when R takes T and R takes t/3 when K takes t for the respective works(T and t are original times taken to complete 1st and 2nd works)

And also my answers to the RC qstn above was 4,4,2,4 :)

Isko toh kara koi ...samaj hi pada kya bol rha h question...

A -13
B 13
C -14
D 14
@RoadKill thanks.exacttly what I was looking for :)
@nits2811
@nits2811 said:
Isko toh kara koi ...samaj hi pada kya bol rha h question...
B 13
C -14
D 14
x when expressed as an irreducible fraction, f(x) = numerator, g(x) = - (denominator),,,,
for eg. for 12/8,,, f(x) = 3, g(x) = -2.. since we have to find the max. value of g(xi) which is minimum of g(x1), g(x2).... , and f(x1) = f(x2) = f(x3) = .... we have to find actually the minimum value of denominator as g(x) is negative of denominator..
now for 0
please pardon me if i have understood it incorrectly...
@nits2811
Find coefficients of x^4 in the expansion of (1+x+x^2+x^3)^11

Is Approach ka koi logic explain karo....

x1 + x2 + x3 + ......+ x11 = 4
Where 0 ‰¤ x1 , x2 ,....,x11 ‰¤ 3


Could anyone here guide me to the appropriate thread in pg which provides shortcuts and tricks to typical questions in qa??

@michael88 said:
@nits2811 Find coefficients of x^4 in the expansion of (1+x+x^2+x^3)^11Is Approach ka koi logic explain karo....
x1 + x2 + x3 + ......+ x11 = 4
Where 0 ≤ x1 , x2 ,....,x11 ≤ 3
If we have to find the integral solutions for x1 + x2 + x3 +...... x11 = 4
such that x1,x2...x11>=0 but there is no upper limit for these variables then the answer is

n+r-1C r-1= 4+11-1C 11-1 which is same as distributing 4 similar balls in 11 distinct groups such that any group can have any number of balls

another way to express this solution is to
find coefficients of x^4 in the expansion of (1+x+x^2+x^3+x^4)^11

but in your question we have to find
Find coefficients of x^4 in the expansion of (1+x+x^2+x^3)^11

This means that we cannot put four balls in 1 group or a group can have a maximum of 3 balls

So the solution is
4+11-1C11-1 - number of ways in which we can put 4 balls in one group which is equal to 11

Using the integral solutions analogy
your question means that we have to find the number of integral solutions of
x1 + x2 + x3 + ......+ x11 = 4
Where 0 ≤ x1 , x2 ,....,x11 ≤ 3

but your question can also be solved mathematically without going through this route.

@allan89

4, 4, 2 and 4

Bahut doubts h.......OA kya h @allan bhai??

Acha dekh lie nxt page pe h......sare tukke sahi....
@sunnysterix said:
Could anyone here guide me to the appropriate thread in pg which provides shortcuts and tricks to typical questions in qa??