P = 4! / 4^4 = 3/32
in other words probability of ind selection is p = 1 * 3/4 * 2/4 * 1/4 = 3/32
ya dude the OA is 3/32
can u elaborate how did u arrive at the formula 4!/4^4
ya dude the OA is 3/32
can u elaborate how did u arrive at the formula 4!/4^4
Hermione12 SaysIs the answer to this question D?
yes dude u r right the OA is d
Jane gave Karen a 5 m head start in a 100 m race and was beaten by 0.25m. In how many meters more would Jane have overtaken Karen?
a) 5m
b) 7m
C) 4.5m
d) 5.25m
e) 6m
a) 5m
b) 7m
C) 4.5m
d) 5.25m
e) 6m
A and B alternately toss a coin. The first one to turn up a head wins. if no more than five tosses each are allowed for a single game.
1- Find the probability that the person who tosses first will win the game?
2- What are the odds against A losing if she goes first?
1- Find the probability that the person who tosses first will win the game?
2- What are the odds against A losing if she goes first?
try this,
As a part of a game, four people each much secretly chose an integer between 1 and 4 inclusive. What is the approximate likelihood that all four people will chose different numbers?
P = 4! / 4^4 = 3/32
in other words probability of ind selection is p = 1 * 3/4 * 2/4 * 1/4 = 3/32
ya dude the OA is 3/32
can u elaborate how did u arrive at the formula 4!/4^4
Sorry for delayed response ..
p = What u want / what is permissible
Numerator (no of ways ) = no repetition allowed ..pure arrangement i.e 4P4 = 4 !
Denominator( no of ways) = repetition allowed ..each outcome has 4 poss ...so total = 4*4*4*4 = 4^4
Hence, p = 4! / 4^4 =3/32
Alternatively ...
1st pick : no prob is associated
2nd pick...we can select the rem 3 from 4 ...i.e 3/4
3rd pick ...we can select rem 2 from 4 i.e 2/4
last...1/4
i/e 1 * 3/4 * 2/4*1/4 = 3/32
thanks buddy...it's clear now...
Jane gave Karen a 5 m head start in a 100 m race and was beaten by 0.25m. In how many meters more would Jane have overtaken Karen?
a) 5m
b) 7m
C) 4.5m
d) 5.25m
e) 6m
Lets consider the distance travelled by each in the same time ..
Jane : 99.75 m
Karen : 95 m
i.e Jane covers up a distance of 4.75 m for 95m karen runs.
Using unitary method, to cover up 0.25m
karen would have to run 95/4.75 * 0.25 = 5m
Hence, jane would have to run 5.25m before overtaking Karen ..
IMO Ans D
Lets consider the distance travelled by each in the same time ..
Jane : 99.75 m
Karen : 95 m
i.e Jane covers up a distance of 4.75 m for 95m karen runs.
Using unitary method, to cover up 0.25m
karen would have to run 95/4.75 * 0.25 = 5m
Hence, jane would have to run 5.25m before overtaking Karen ..
IMO Ans D
yup, OA is d nice explanation
Try these and provide shortcuts if any
1) For a recent play performance, the ticket prices were $25 per adult and $15 per child. A total of 500 tickets were sold for the performance. How many of the tickets sold were for
adults?
(1) Revenue from ticket sales for this performance totaled $10,500.
(2) The average (arithmetic mean) price per ticket sold was $21.
2) 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
3) =
A. 8 + 37
B. 4 + 37
C. 8
D. 4
E. 7
4) Which of the following fractions has a decimal equivalent that is a terminating decimal?
A. 10/189
B. 15/196
C. 16/225
D. 25/144
E. 39/128
5) Lines k and m are parallel to each other. Is the slope of line k positive?
(1) Line k passes through the point (3, 2).
(2) Line m passes through the point (-3, 2).
Friends,
Is there some docmunet from where we can practice DS and PS questions for GMAT(like 1000 Sc for SC).
Please suggest.
Friends,
Is there some docmunet from where we can practice DS and PS questions for GMAT(like 1000 Sc for SC).
Please suggest.
Dude,
read this thread:
http://www.pagalguy.com/discussions/official-announcement-caution-notice-to-all-gmat-section-users-25032554
Here on PG, you are not allowed to post any Copyright Material.
The Administrators and everybody else is very serious about it.
You won't find it here on PG anywhere what you are looking for.
For more info, go through the thread above.
Regards,
Neha
1) For a recent play performance, the ticket prices were $25 per adult and $15 per child. A total of 500 tickets were sold for the performance. How many of the tickets sold were for
1) x+y = 500, 25x + 15y = 10,500 ------ Sufficient
2) avg price = 21 --> total price = 21 * 500 => 10500
Again, 25x + 15y = 10,500 ------ Sufficient
So, Answer shd be C.
2) A certain company assigns....
Total was = 3C0 + 3C1 + 3C2 + 3C3 = 8
IMO = D
3)
Lets solve 2nd term first: 2/(8+37)
Multiply and devide it by (8-37)
2*(8-37) / (8+37) (8-37)
16-67 / 64-63 => 16-67
Now, wquating it back to Q,
=> 4 Ans shd be D
]4) Which of the following fractions has a decimal equivalent that is a terminating decimal?
you can divide 10/189 to 10/9 * 1/21. since 10/9 is non terminating, so gone
111y 15/196 = 15/14 * 1/14. 15/14 is non terminating, gone
16/225 = 4/15 * 4/15. 4/15 is non terminating, gone
25/144 = 5/12 * 5/12. 5/12 is non terminating, gone
39/128 = 39/2 * 1/2 * 1/2.... all are terminating.. bingo.. E is Ans
5)Lines k and m are parallel to each other. Is the slope of line k positive?
1) Insufficient 2) insufficient.. tother also insuff..
(u can draw and check)
So, E
Try these and provide shortcuts if any
1) For a recent play performance, the ticket prices were $25 per adult and $15 per child. A total of 500 tickets were sold for the performance. How many of the tickets sold were for
adults?
(1) Revenue from ticket sales for this performance totaled $10,500.
(2) The average (arithmetic mean) price per ticket sold was $21.
2) 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
3) =
A. 8 + 37
B. 4 + 37
C. 8
D. 4
E. 7
4) Which of the following fractions has a decimal equivalent that is a terminating decimal?
A. 10/189
B. 15/196
C. 16/225
D. 25/144
E. 39/128
5) Lines k and m are parallel to each other. Is the slope of line k positive?
(1) Line k passes through the point (3, 2).
(2) Line m passes through the point (-3, 2).
I think we can atleast share name of the books / study materials on this website.. that way we can get more options!!
Dude,
read this thread:
http://www.pagalguy.com/discussions/official-announcement-caution-notice-to-all-gmat-section-users-25032554
Here og PG, you are not allowed to post ant Copyright Material.
The Administrators and everybody else is very serious about it.
You won't it here on PG anywhere what you are looking for.
For more info, go through the thread above.
Regards,
Neha
1) For a recent play performance, the ticket prices were $25 per adult and $15 per child. A total of 500 tickets were sold for the performance. How many of the tickets sold were for
1) x+y = 500, 25x + 15y = 10,500 ------ Sufficient
2) avg price = 21 --> total price = 21 * 500 => 10500
Again, 25x + 15y = 10,500 ------ Sufficient
So, Answer shd be C.
2) A certain company assigns....
Total was = 3C0 + 3C1 + 3C2 + 3C3 = 8
IMO = D
3)
Lets solve 2nd term first: 2/(8+37)
Multiply and devide it by (8-37)
2*(8-37) / (8+37) (8-37)
16-67 / 64-63 => 16-67
Now, wquating it back to Q,
=> 4 Ans shd be D
]4) Which of the following fractions has a decimal equivalent that is a terminating decimal?
you can divide 10/189 to 10/9 * 1/21. since 10/9 is non terminating, so gone
111y 15/196 = 15/14 * 1/14. 15/14 is non terminating, gone
16/225 = 4/15 * 4/15. 4/15 is non terminating, gone
25/144 = 5/12 * 5/12. 5/12 is non terminating, gone
39/128 = 39/2 * 1/2 * 1/2.... all are terminating.. bingo.. E is Ans
5)Lines k and m are parallel to each other. Is the slope of line k positive?
1) Insufficient 2) insufficient.. tother also insuff..
(u can draw and check)
So, E
Agree with all your ans buddy :thumbsup:..
1) Small typo ...each statement is suff ...Ans D
2) Alternatively, each of the 3 employees have 2 options ..i.e 2*2*2 = 2^3 = 8
Also, nC0 +nC1 +nC2 +.....+nCn = 2^n
Try these and provide shortcuts if any
----------------
3) =
A. 8 + 37
B. 4 + 37
C. 8
D. 4
E. 7
-----------------
hi,
this can be done easily using rationalizing the denominator...
2/(8+37) = 2/(8+37) * (8-37)/(8-37) = 2(8-37)/ = 2(8-37)/(64-63) = 16-67
putting this value in the given expression...we get
= = 16 = 4
PS: didn't see the solution above already given...
Nipunbans SaysI think we can atleast share name of the books / study materials on this website.. that way we can get more options!!
Yes Nipun you can do that, but you can't post 1000 sc or anything here or a link of ebook which contains 1000 sc/cr/ps.
that's not allowed.
No harm in sharing the book's name :)
Don't take it in wrong sense. Told it just to make him aware as he is a newbie. cause if the mods/administrators find, they'll delete it for sure and if repeated then they and GMAC will surely take action against it.
Regards,
Neha
Agree with all your ans buddy :thumbsup:..
1) Small typo ...each statement is suff ...Ans D
2) Alternatively, each of the 3 employees have 2 options ..i.e 2*2*2 = 2^3 = 8
Also, nC0 +nC1 +nC2 +.....+nCn = 2^n
hi,
In question no. 2 dont u think each employee has 3 options rather than two. one to go to company x, say, two to go to company y and three to stay back
@question no. 4
how to know which are non terminating decimals?
Here's a simple funda to "more hours" work questions.... If A takes a hours more than it takes A & B together and similarly B takes b hours more, then A&B; together take Square root(ab) hours to complete the work together. :)
Take care.
Try these and provide shortcuts if any
2) 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
4) Which of the following fractions has a decimal equivalent that is a terminating decimal?
A. 10/189
B. 15/196
C. 16/225
D. 25/144
E. 39/128
Agree with all your ans buddy :thumbsup:..
1) Small typo ...each statement is suff ...Ans D
2) Alternatively, each of the 3 employees have 2 options ..i.e 2*2*2 = 2^3 = 8
Also, nC0 +nC1 +nC2 +.....+nCn = 2^n
hi,
In question no. 2 dont u think each employee has 3 options rather than two. one to go to company x, say, two to go to company y and three to stay back
@question no. 4
how to know which are non terminating decimals?
Hey ..
2) it says that a particular office may not be assigned any employees, however, every employee has to be assigned to one of the 2 offices...
Hence, there are only 2 options for each of the 3 employees ..
4) Usually, division by a prime no leads to non terminating decimals ..2 and 5 are the 2 exceptions i can think of ...
prime factorize the denominator for every ans option as nipun has solved ...if it includes 3,7,11 etc it wud lead to non termination or recurring pattern ...
Hope that helps !
1) if p, s, and t are positive prime numbers, what is the value of p^3s^3t^3?
(1) p^3st=728
(2) t=13
2) During a 10-week summer vacation, was the average (arithmetic mean) number of books that Carolyn read per week greater than the average number of books that Jacob read per week?
(1) Twice the average number of books that Carolyn read per week was greater than 5 less than twice the average number of books that Jacob read per week.
(2) During the last 5 weeks of the vacation, Carolyn read a total of 3 books more than Jacob.
Give explanation...
(1) p^3st=728
(2) t=13
2) During a 10-week summer vacation, was the average (arithmetic mean) number of books that Carolyn read per week greater than the average number of books that Jacob read per week?
(1) Twice the average number of books that Carolyn read per week was greater than 5 less than twice the average number of books that Jacob read per week.
(2) During the last 5 weeks of the vacation, Carolyn read a total of 3 books more than Jacob.
Give explanation...