GMAT Problem Solving Discussions

MBA
3821

I agree with this solution as the mean is 3.5

3822

looks like all junta is busy wid verbal.. this thread has been inactive 4 quite a long time..

well.. try this..

what is the sum of the ten vertex angles in a ten-vertices regular star?
a. 720
b. 1080
c. 1200
d. 1680
e. none of these

3823

Answer is 1080, a star with ten vertices would mean, it is made of two pentagons and hence the answer

3824
chintamani.kurs Says
Answer is 1080, a star with ten vertices would mean, it is made of two pentagons and hence the answer


ok.. let me increase the difficulty level a bit..

what is the sum of the nine vertex angles in a nine-vertices regular star?
a. 540
b. 720
b. 680
c. 900
e. none of these
3825
ok.. let me increase the difficulty level a bit..

what is the sum of the nine vertex angles in a nine-vertices regular star?
a. 540
b. 720
b. 680
c. 900
e. none of these


i got 900 using a very ugly figure.. wont b able 2 post da figure.. if someone has a good short approach 2 this problem then plz post..

thanks in advance...
3826

The answer is "none of these". Star with nine vertices is nothing but a figure that is something more than octagon. We will try to draw as many triangles possible inside this triangle. so a total of 7 triangles are possible.so 7*180=1260 is the correct answer.

3827
plmdomain Says
The answer is "none of these". Star with nine vertices is nothing but a figure that is something more than octagon. We will try to draw as many triangles possible inside this triangle. so a total of 7 triangles are possible.so 7*180=1260 is the correct answer.


hi fren.. plz review ur solution.. wat u've found out is the sum of the internal angles of a nonagon(nine-sided polygon), not a nine-vertices star.. each internal angle of the star will always b less than the internal angle of the polygon.. for example, take a 5-vertices star n a pentagon 4 easy understanding.. each internal angle of the 5-vertices star will b 36degrees while that of a pentagon will b 108degress(huge difference).. there is no way that internal angle of the nonagon will b equal 2 the internal angle of the star..

trust me.. i have solved this question fully.. i got 900.. n m 99.99% confident of my solution.. but my solution was a bit lengthy n took a little more than 2minutes.. thats y m looking 4 a shorter n better method..

plz try again..
thanks
3828

dare2 why 9 vertices star cannot be 180*(n-2) where n is the number of sides. How can u say that the nine vertices star cannot be a nonagon...i do not get this thru my hard brain.

3829
plmdomain Says
dare2 why 9 vertices star cannot be 180*(n-2) where n is the number of sides. How can u say that the nine vertices star cannot be a nonagon...i do not get this thru my hard brain.


The answer is 180*(n-2) when you considered the whole polygon. However think of it, a 9 vertex star would be a polygon with more than 9 vertices, because you are thinking of only the edge angles, there are convex angles inside as well :)

So, the answer is not 900. I am not able to figure out the answer yet though.
3830
plmdomain Says
dare2 why 9 vertices star cannot be 180*(n-2) where n is the number of sides. How can u say that the nine vertices star cannot be a nonagon...i do not get this thru my hard brain.


OMG.. u guys r thinking too much... nine-vertices star cannot be a nonagon (rather it'll b an eighteenagon) because the adjacent vertices are not joined with each other.. take the star independently.. dont connect the vertices and convert it into a nonagon.. my fault.. i shd have provided the figure with this question.. but 1 guy here (chintamani) solved the former question perfectly.. so i felt question is understood..
3831

Not getting time to try this on paper! Will reply once that is done. And that eighteenagon was the point I was trying to make as well

3832

I have been an avid follower of this thread on PG:
Now, I have doubts on some questions which I am not sure of.
So, here are the questions:

1. A hospital pharmacy charges $0.40 per fluidram of a certain medicine but allows a discount of 15 percent to Medicare patients. How much should the pharmacy charge a Medicare patient for 3 fluidounces of the medicine?(128 fluidrams = 16 fluidounces)

(A) $9.60

(B) $8.16

(C) $3.20

(D) $2.72

(E) $1.02

______________________Company_X___Company_Y
Price ____________________$75_________$530

Surcharge as ______________4%_________3%
a Percent of Price

Installation Charge _________$82.50______$93

2. The table above shows the various charges made by two companies for the same air conditioner. What is the total amount that can be saved on the purchase and installation of the air conditioner by dealing with the company that offers the lower total charge?

(A) $41.60
(B) $45.00
(C) $50.75
(D) $55.75
(E) $61.25

3. According to the graph above, when x = 3, y most nearly ?
(A) 1
(B) -1/2
(C) 0
(D) 1/2
(E) 1
(Refer the diagram attached for this question)

4. Pat will walk from intersection X to intersection Y along a route that is confined to the square grid of four streets and three avenues shown in the map above. How many routes from X to Y can Pat take that have the minimum possible length?
(A) 6
(B) 8
(C) 10
(D) 14
(E) 16
(Refer the diagram attached for this question)

5. A wildlife preserve is being planned for 3,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of watering area, plus 100 acres of grazing area for each rhinoceros. If the number of rhinoceroses is expected to increase by 10 percent, how many thousand acres should the preserve have in order to provide for the increased population?

(A) 340
(B) 330
(C) 320
(D) 310
(E) 300

3833

Please solve this question. I am not sure of the answer.
What is the median number of employees assigned per project for projects at company z?

(1) 25 percent of the projects in the company have 4 or more employees assigned to each project.
(2) 35 percent of the projects at company have 2 or less employees assigned to each project.


Thanks,
Anurag...

3834

1. (B) $8.16

2. I think this question is wrong

3.(E) 1


4. (C) 10

5. (B) 330

3835
Please solve this question. I am not sure of the answer.
What is the median number of employees assigned per project for projects at company z?

(1) 25 percent of the projects in the company have 4 or more employees assigned to each project.
(2) 35 percent of the projects at company have 2 or less employees assigned to each project.


Thanks,
Anurag...


Median = 3
3836

1. A hospital pharmacy charges $0.40 per fluidram of a certain medicine but allows a discount of 15 percent to Medicare patients. How much should the pharmacy charge a Medicare patient for 3 fluidounces of the medicine?(128 fluidrams = 16 fluidounces)


My take on the above set

1. B) 8.16
2. There is some flaw in the Q
3. D)1/2
4. Not attempted
5. 300
3837
chintamani.kurs Says
Median = 3

Can you please explain me how?...
I know it's not the thread to ask this question but now that you have answered the question can you please let me know your reasoning.

Thanks,
Anurag...
3838
Can you please explain me how?...
I know it's not the thread to ask this question but now that you have answered the question can you please let me know your reasoning.

Thanks,
Anurag...

Yeah Ok I got it.... What a silly thing solve incorrectly.
Thanks for your help...

Thanks,
Anurag...
3839
Can you please explain me how?...
I know it's not the thread to ask this question but now that you have answered the question can you please let me know your reasoning.

Thanks,
Anurag...


25% of the numbers are below 2.

So, the first 25% of the numbers are less than 2(because this list will also contain the lowest numbers in the range).
Then, 35% of the numbers are 4 and above meaning the last 35% of the numbers are 4 or above(this would cntain the highest numbers in the range).

The middle 25%-65% would consist of numbers greater than 2 and less than 4 = 3

Hence, 3 would be the median
3840
I have been an avid follower of this thread on PG:
Now, I have doubts on some questions which I am not sure of.
So, here are the questions:

1. A hospital pharmacy charges $0.40 per fluidram of a certain medicine but allows a discount of 15 percent to Medicare patients. How much should the pharmacy charge a Medicare patient for 3 fluidounces of the medicine?(128 fluidrams = 16 fluidounces)

(A) $9.60

(B) $8.16

(C) $3.20

(D) $2.72

(E) $1.02

______________________Company_X___Company_Y
Price ____________________$75_________$530

Surcharge as ______________4%_________3%
a Percent of Price

Installation Charge _________$82.50______$93

2. The table above shows the various charges made by two companies for the same air conditioner. What is the total amount that can be saved on the purchase and installation of the air conditioner by dealing with the company that offers the lower total charge?

(A) $41.60
(B) $45.00
(C) $50.75
(D) $55.75
(E) $61.25

3. According to the graph above, when x = 3, y most nearly ?
(A) 1
(B) -1/2
(C) 0
(D) 1/2
(E) 1
(Refer the diagram attached for this question)

4. Pat will walk from intersection X to intersection Y along a route that is confined to the square grid of four streets and three avenues shown in the map above. How many routes from X to Y can Pat take that have the minimum possible length?
(A) 6
(B) 8
(C) 10
(D) 14
(E) 16
(Refer the diagram attached for this question)

5. A wildlife preserve is being planned for 3,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of watering area, plus 100 acres of grazing area for each rhinoceros. If the number of rhinoceroses is expected to increase by 10 percent, how many thousand acres should the preserve have in order to provide for the increased population?

(A) 340
(B) 330
(C) 320
(D) 310
(E) 300

here are my solutions :
1B
2. i am getting an answer totally different from the options given, by trying to get both the prices equal
3.E
4.E
5.B