GMAT Problem Solving Discussions

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Train A leaves Delhi for Noida at 3 PM and travels at the constant speed of 100 Kph. An hour later, it passes Train B, which is making the trip from Noida to Delhi at a constant speed. If Train B left Noida at 3:50 PM and if the combined travel time of the two trains is 2 hours, what time did Train B arrive in Delhi?
(1) Train B arrived in Delhi before Train A arrived in Noida .
(2) The distance between Delhi and Boston is greater than 140 miles.


Hey.. u sure you have the correct option posted in here.. you sure it says "Boston" and not "Noida" in the option 2..??..:|

As you would also understand, depending upon whether its Boston or Noida the answer might/would change..
Hey.. u sure you have the correct option posted in here.. you sure it says "Boston" and not "Noida" in the option 2..??..:|

As you would also understand, depending upon whether its Boston or Noida the answer might/would change..


Great Buddy!!!.you were the only to point it out.Rest I believe have assumed it to be Noida.I have edited the post.It is indeed Noida.

Hi all,

I came across these two questions in the GMAT practise test CD. Need help in expalantaion:

1.What is the greatest possible areaa of a triangular region with one vertex at the centre of a circle of radius 1 and the other two vertices on the circle?

2. A certain car averages 25miles per gallon of gasoline when driven in the city and 40 miles per gallon when driven on the highway. According to these rates which of the foloowing is closest to the number of miles per gallon that the car averages when its is driven 10 miles in the city and 50 miles on the highway?

thanks,

Hi all,

I came across these two questions in the GMAT practise test CD. Need help in expalantaion:

1.What is the greatest possible areaa of a triangular region with one vertex at the centre of a circle of radius 1 and the other two vertices on the circle?

2. A certain car averages 25miles per gallon of gasoline when driven in the city and 40 miles per gallon when driven on the highway. According to these rates which of the foloowing is closest to the number of miles per gallon that the car averages when its is driven 10 miles in the city and 50 miles on the highway?

thanks,


can we have options for the above two questions as they r PS questions:wow:
Hi all,

I came across these two questions in the GMAT practise test CD. Need help in expalantaion:

1.What is the greatest possible areaa of a triangular region with one vertex at the centre of a circle of radius 1 and the other two vertices on the circle?


thanks,

Will it be the equilateral triangle??
So area will be sqrt3/2
Hi all,

I came across these two questions in the GMAT practise test CD. Need help in expalantaion:


2. A certain car averages 25miles per gallon of gasoline when driven in the city and 40 miles per gallon when driven on the highway. According to these rates which of the foloowing is closest to the number of miles per gallon that the car averages when its is driven 10 miles in the city and 50 miles on the highway?

thanks,

(10+50)/(10/25+50/40)
=400/11=36.36 miles/gallon
Will it be the equilateral triangle??
So area will be sqrt3/2


how can u claim it wud be an equilateral triangle ??
Hi all,

I came across these two questions in the GMAT practise test CD. Need help in expalantaion:

1.What is the greatest possible areaa of a triangular region with one vertex at the centre of a circle of radius 1 and the other two vertices on the circle?

For a given triangle , the area is maximum when its an equilateral triangle.
so radius is 1 and therefore side of trinagle will also be 1.
area=sqrt(3)/4.

2. A certain car averages 25miles per gallon of gasoline when driven in the city and 40 miles per gallon when driven on the highway. According to these rates which of the foloowing is closest to the number of miles per gallon that the car averages when its is driven 10 miles in the city and 50 miles on the highway?
gallons consumed=10/25+50/40=2/5+5/4=33/20
Total miles travlled=60
so miles per gallons=60*20/33


thanks,


I hope the answers are OK

Hi,

Even I selected the answer to be sqrt(3/4) for the triangle question but the correct answer provided is 1/2.

Thus I posted the query. Will put up the othre options given as well shortly.

Hi,

Even I selected the answer to be sqrt(3/4) for the triangle question but the correct answer provided is 1/2.

Thus I posted the query. Will put up the othre options given as well shortly.


What is the correct answer to the second question??
shashankaggarwa Says
how can u claim it wud be an equilateral triangle ??


Coz I thought equilateral triangle will have the maximum area.
Anyways lets wait for Studying explanation.
Hi,

Even I selected the answer to be sqrt(3/4) for the triangle question but the correct answer provided is 1/2.

Thus I posted the query. Will put up the othre options given as well shortly.

Let me revise my prevoius answer.
let x be the angle between the radius and the base of the triangle.let a be the base and y be the altitude.
then-sinx=y/r=y and cosx=a/r=a
so the area=.5*sinx*cosx*2
differentiate this, we will get cos2x=0=>x=45 degrees.
do the back calculation-a=y=1/sqrt(2).
Area=.5*a*y*2=1/2
Hi all,

I came across these two questions in the GMAT practise test CD. Need help in expalantaion:

1.What is the greatest possible areaa of a triangular region with one vertex at the centre of a circle of radius 1 and the other two vertices on the circle?

thanks,


Alternate approach for prob 1 :

Area of triangle = 1/2 *product of any 2 sides* sine of included angle

Hence, Area follows a sinusoidal curve and max = sin90 = 1
and 2 arms of the triangle are radii...

Hence Max, area = 1/2*1*1*sin90 = 1/2 ...

For which of the following functions is f(a+b) = f(a) + f(b) for all positive numbers a and b?

a. f(x) = x^2

b. f(x) = x + 1

c. f(x) = sqrt of x

d. f(x) = 2/x

e. f(x) = -3x

For which of the following functions is f(a+b) = f(a) + f(b) for all positive numbers a and b?

a. f(x) = x^2

b. f(x) = x + 1

c. f(x) = sqrt of x

d. f(x) = 2/x

e. f(x) = -3x


Ans E...

1. (a+b)^2 not equal to a^2 + b^2
2. a+b+1 not equal to a+1+b+1
3. root(a+b) not equal to root a + root b
4. 2/(a+b) not equal to 2/a +2/b
5. -3(a+b) = -3a-3b......Ans ...

For which of the following functions is f(a+b) = f(a) + f(b) for all positive numbers a and b?

a. f(x) = x^2

b. f(x) = x + 1

c. f(x) = sqrt of x

d. f(x) = 2/x

e. f(x) = -3x

only the liner function can exhibit this property.so straight away ruled out-a,c,d.
Check b and e.
let a=b=1
E sets the pace here and wins.

Some fundoo problems....
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8x(y^3) + 8 (x^3)y = /
What is xy?
(1) y>x
(2) x
(A) Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) Each statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient.



According to me the answer to this one should be E, anyone has any other answer. Please let me know. The correct answer according to most people is A, can anyone please explain how ?

For aa) greater than 1
b) less than 1
c) greater than 0 but less than 1
d) greater than a/c
e) greater than -1

My take is a).

dreamscometrue Says
According to me the answer to this one should be E, anyone has any other answer. Please let me know. The correct answer according to most people is A, can anyone please explain how ?
I too would like to know the answer & explanation for this prob..
I am not able to conclude any value of xy..
For aa) greater than 1
b) less than 1
c) greater than 0 but less than 1
d) greater than a/c
e) greater than -1

My take is a).

The answer will be 'c' as the negative values will be canceled, and since a+b