GMAT Problem Solving Discussions

MBA
2441

question :

Hey Puys, one small DS question,
Give it a try , I will post the answer with explaination by evening today!
If the square root of the product of three distinct positive integers is equal to the largest of the three numbers, what is the product of the two smaller numbers?
(1) The largest number of the three distinct numbers is 12.
(2) The average (arithmetic mean) of the three numbers is 20/3
A, B , C , D , E are,
as per DS standard answer choices. (1 alone, 2 along etc....)
2442
Papa Ji Says
question :


Ans is D ..
let the nos be a,b,c such that a is the largest
Root(abc) =a
Hence bc=a
We need the value of a or bc

St 1 : directly gives us the value of a ...suff
St 2 ; a+b+c =20 and we know a=bc and all are +ve integers
Hence, only poss values are 2,6,12 ...suff

Ans D
2443

From a group of 3 boys and 3 girls, 4 children are to be randomly selected. What is the probability that equal numbers of boys and girls will be selected?
A.1/10
B.4/9
C.1/2
D.3/5
E. 2/3

Share the method/calculation plz.. if possible..

2444

A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices?
A. 5
B. 6
C. 7
D. 8
E. 9

Share the method/calculation plz.. if possible..

2445

Can any one help me with this one :
For every positive even integer n the function h(n) is defined as the product of all even integers from 2 to n,inclusive.If p is the smallest factor of h(100)+1 then p is :

1.)between 2 and 10
2.)between 10 and 20
3.)between 20 and 30
4.)between 30 and 40
5.)greater than 40

Thanks in advance.

2446
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices?
A. 5
B. 6
C. 7
D. 8
E. 9

Share the method/calculation plz.. if possible..


Hi varun,

is the answer 9 for this?

i arrived at this using this strategy :
say O1 and O2 are two offices and E1 ,E2 and E3 are employees.

Company can assign E1 to O1 or O2 or no assignment for E1
Similarly for E2 three ways
and three ways for E3

that makes 9 ways possible for assignment.

If company does not considers no assignment case then 6 is the answer.

Please post the correct answer
2447
From a group of 3 boys and 3 girls, 4 children are to be randomly selected. What is the probability that equal numbers of boys and girls will be selected?
A.1/10
B.4/9
C.1/2
D.3/5
E. 2/3

Share the method/calculation plz.. if possible..


3/5 is the answer

3C2*3C2/6C4
2448

The OA is 8.. i.e. option D

Hi varun,

is the answer 9 for this?

i arrived at this using this strategy :
say O1 and O2 are two offices and E1 ,E2 and E3 are employees.

Company can assign E1 to O1 or O2 or no assignment for E1
Similarly for E2 three ways
and three ways for E3

that makes 9 ways possible for assignment.

If company does not considers no assignment case then 6 is the answer.

Please post the correct answer
2449

this is correct.. and I also found out whr I went wrong.. instead of combination, I solved using permutation.. :nono:

3/5 is the answer

3C2*3C2/6C4
2450
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices?
A. 5
B. 6
C. 7
D. 8
E. 9

Share the method/calculation plz.. if possible..


My answer D

case i) all 3 employees in one office. This can be done in 2 ways. Office 1 or 2

case ii) 2 employees in one office. 3p2 ways =3! = 6

hence 8 ways in all
2451
Can any one help me with this one :
For every positive even integer n the function h(n) is defined as the product of all even integers from 2 to n,inclusive.If p is the smallest factor of h(100)+1 then p is :

1.)between 2 and 10
2.)between 10 and 20
3.)between 20 and 30
4.)between 30 and 40
5.)greater than 40

Thanks in advance.


I am getting answer as E. Let me know if it's correct. I will post my exp thn
2452
d2rockstar Says
I am getting answer as E. Let me know if it's correct. I will post my exp thn


Your answer is correct. The answer option is E. Please post the explanation.
2453
Can any one help me with this one :
For every positive even integer n the function h(n) is defined as the product of all even integers from 2 to n,inclusive.If p is the smallest factor of h(100)+1 then p is :

1.)between 2 and 10
2.)between 10 and 20
3.)between 20 and 30
4.)between 30 and 40
5.)greater than 40

Thanks in advance.


This is my approach

h(100) = 2x4x6x...100 = 2^50(50!)

now above expression is divisible by 1 to 50. If a number y is divisible by x then y+1 will not be divisible by x. Since the above number is divisible by 1 to 50, h(100)+1 it will not be divisible by 1+1 to 50+1.

Correct me if i am wrong
2454
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices?
A. 5
B. 6
C. 7
D. 8
E. 9

Share the method/calculation plz.. if possible..

My answer D

case i) all 3 employees in one office. This can be done in 2 ways. Office 1 or 2

case ii) 2 employees in one office. 3p2 ways =3! = 6

hence 8 ways in all


Alternate way ...
Assignment to any particular office could be zero, however every employee would be assigned an office ..

2 choices for every employee, hence total ways for 3 employees = 2*2*2 = 2^3 = 8 ..Ans D
2455
Can any one help me with this one :
For every positive even integer n the function h(n) is defined as the product of all even integers from 2 to n,inclusive.If p is the smallest factor of h(100)+1 then p is :

1.)between 2 and 10
2.)between 10 and 20
3.)between 20 and 30
4.)between 30 and 40
5.)greater than 40

Thanks in advance.

This is my approach

h(100) = 2x4x6x...100 = 2^50(50!)

now above expression is divisible by 1 to 50. If a number y is divisible by x then y+1 will not be divisible by x. Since the above number is divisible by 1 to 50, h(100)+1 it will not be divisible by 1+1 to 50+1.

Correct me if i am wrong


Even my answer is E
Link to previous post of similar kind
http://www.pagalguy.com/discussions/gmat-problem-solving-discussions-25019823
2456
Even my answer is E
Link to previous post of similar kind
http://www.pagalguy.com/discussions/gmat-problem-solving-discussions-25019823


Thanks to both of you...
2457

Hi,

I need help in evaluating my essay written for AWA section of GMAT.
Can any one please guide me ?

Thanks,
Ved

2458
Hi,

I need help in evaluating my essay written for AWA section of GMAT.
Can any one please guide me ?

Thanks,
Ved


Here goes my essay :


Topic - In some countries, telivision and radio programs are carefully censored for offensive langauage and behavior.In other
countries, there is little or no censorship."
Essay :-
I have opinion against the issue and am much of the view that television and radio programs are carefully censored for
offensive language and behavior all over the world.
I understand that there are many programs showing obscenity, violence, vulgarity, chaos etc lets call them "unacceptable
scenes". For instance, if we take movies, particularly hollywood movies, then we see lot of these. Even if we take bollywood
movies then they have followed and are following the similar trend.Most of the time, it may occue that a whole bunch of
family can not watch a movie siting together.Truly, there has been segmentation in viewership for the movies. However,these
facts no way against the motion that these movies are not censored. This is because censorship is not about not allowing the
"restricted scenes" rather its about putting them into correct category. The censorhip board whether its a hollywood or
bollywod or any other, they all have well defined categories such as "U" , "A" ,"PG" etc, in which they put films. It could
be an argument that putting the films in correct pigeonhole could be controversial sometime, however, it, in fact, shows the
maturity of censorship.Such controveries have arisen as far as 1930s, such as those with Hughes Howard movies like 'The
Outlaw' etc. Such incidents does reveal that the content of movies is taken seriously and monitored so that none of the
viewer segment is harmed in any sense.
Apart from cinema boards taking their steps to censor the movies, the TV program and Radio come forward to ensure that
contents are suitable for viewing. For example, you could easily observed on channels like HBO, ZEE Studio etc, the caution
before the start of many of the movies declaring that movie need a parental guidance or it is suitable only for people above
13 etc. This certainly emphasise that chanelles understand their resposnibility in broadcasting the contents.
Also, mostly the channles on TV are becoming quite global in nature and hence same rules and law of censorship applies most
of the places. Thus, its another point which weakens the argument that censorship is not global in its nature.
One imporatant point that cannot be ignored is that moral and ethic values which are significant factor in determining if the
content is acceptable or not, is more closely knit with culture and region.Programs well acceptable in one country cannot be
considered same in other country.In general trend, it becomes east vs west "stuff". Amidst such complex situation as
censorship has played important role across the world. For example, channels take care that Violent programs are not shown in
sensitive area like UAE etc.Above all, individual Country's govt have their own regulations through censor boards on the
program aired through TV and Radios, which keep continous watch.
In todays world, where geography is shrinking by means of communication, its hard to agree there is little or no censorship
on programs.Censorship is being evenly buts it just a question that if viewership is under control or not. Its just like
ciagratte cases coming with statutory warning "Smoking is injurious to heath", but the ciagrette still sell in the
market.Hence, we cannot deny that so called "unacceptable" materials are being broadcasted unevenly across the geography, but
the sametime we cannot deny the fact that censor is being evenly buts its viewship control which is not being taken care of.
2459

E seems correct to me!!

2460

Puys help me with this one..

A and B ran a race of 480 m.Inthe first heat,A gives B a headstart of 48 m and beats him by 1/10th of a minute. In the second heat, A gives B a headstart of 144 m and is beaten by 1/30th of a minute. What is B's speed in m/s.

1.)12
2.)14
3.)16
4.)18
5.)20