GMAT Problem Solving Discussions

@reecha
@reecha Is Quadrant IV right answer??
@mbaQuest12 said:
Though I got this one correct, I am looking for the most optimal/quickest method of solving this problem (and other similar poblems)Five pieces of wood have an average length of 124 cms. and a median length of 140 cms. What is the maximum possible length, in cms., of the shortest piece of wood?(A) 90 (B) 100 (C) 110 (D) 130 (E) 140
Is the answer 100 ??
@LeonCorriea said:
Came across this in one of the MGMATs :
Q) Car B starts at point X and moves clockwise around a circular track at a constant rate of 2 mph. Ten hours later, Car A leaves from point X and travels counter-clockwise around the same circular track at a constant rate of 3 mph. If the radius of the track is 10 miles, for how many hours will Car B have been traveling when the cars have passed each other for the first time and put another 12 miles between them (measured around the curve of the track)
A) n4– 1.6
B) n4+ 8.4
C) n4+ 10.4
D) n2– 1.6
E) n2– 0.8
Is option B answer?

@jindal.dishant Yes. it is.. how did you calculate that???
@reecha said:
@jindal.dishant
Yes. it is.. how did you calculate that???
give me ur email id..
@LeonCorriea said:
Came across this in one of the MGMATs :
Q) Car B starts at point X and moves clockwise around a circular track at a constant rate of 2 mph. Ten hours later, Car A leaves from point X and travels counter-clockwise around the same circular track at a constant rate of 3 mph. If the radius of the track is 10 miles, for how many hours will Car B have been traveling when the cars have passed each other for the first time and put another 12 miles between them (measured around the curve of the track)?
A) n4 €“ 1.6
B) n4+ 8.4
C) n4+ 10.4
D) n2 €“ 1.6
E) n2 €“ 0.8
(n = Pi. Cant seem to figure how to include the Greek letter for it!)
Option B is the answer

B speed: 2 mph;
A speed: 3 mph
Total distance of track = 20pi
distance will cover B in 10h: 20 miles
Distance between B and A by the time, A starts to travel: 20pi - 20
Time needed for A and B to meet distance between them divided by the relative speed:
20pi-20/2+3 = 4pi-4
as they are travelling in opposite directions relative speed would be the sum of their rates;

Time needed for A to be 12 miles ahead of B: 12/2+3 = 2.4
So we have three period of times:
Time before A started travelling: 10 hours;
Time for A and B to meet: 4pi-4 hours;
Time needed for A to be 12 miles ahead of B: 2.4 hours;
Total time: 10+4pi-4+2.4 = 4pi-8.4 hours.

kindly provide the answer with explaination

Z raise to power n= 1 what is the value of Z

1. n is non zero integer

2. Z>0

option1 is sufficient

option 2 is sufficient

both option together is sufficient

both option alone is sufficient

both option together is not sufficient.

Regards

Dinesh

Option 2 alone is sufficient.


With Option 1. for Z^n = 1;
Z can take two values 1,-1. Based on different values on n the above condition can be met. so cant arrive at a proper value.

With Option 2. for Z^n = 1 and Z>0 the only value is Z = 1 and for any value of n this will be true.
Hence option 2 alone is sufficient.
correct?
@reecha said:
Q) In a rectangular co-ordinate system, (Quadrants 1 to 4 goes anti-clockwise), which quadrant, if any, contains no point (x,y) that satisfies the inequality 2x-3y a) noneb) Quadrant Ic) Quadrant IId) Quadrant IIIe) Quadrant IV

quadrant 4

Dear visweswara reddy,

thank you very much for the details.

but in case of option 2 also we do not have the value of n so in case of n=2 the value of z could be -1.

if we consider both the statement

Z^n=1

we know Z is positive and n is either negative or positive

the only solution to this is Z=1

even if n is negative the value of Z does not change from positive one

the answer is both the statement together provide the solution.

Kindly comments

sorry

i think the correct explaination is anything ^0 is 1

so in case 2 if Z>0 but we dont know the value of n

then n could be zero and Z can be anything.

So we have to consider both the statement to slove the question.

Kindly comment

@abchekstylo

in this question n could be postive, negative or zero beacuse no where in the question it is stated that n is positive.

so both statement together can solve the problem

@nairpraveenk the answer for post 7 is (C)
here is the explanation:
consider statement 2:
acc to which M=F+105;---(1)
consider statement 1:
acc to which : F(new total)=F+14;----(2)
and M/F(new total)=16/9;----(3)

working:
using 1,2, and 3
(105+F)/(F+14)=16/9
solving it gives you Females=103
==========
plz temme if my logic is wrong.
thanks :)

Can anyone tell me what should be my accuracy on OG 13 if I aim to take GMAT in June 2013. It is currently 90% roughly on the last 50 questions and I don't find my self satisfied. Guidance needed.

Please reply.
@braincrash said:
Can anyone tell me what should be my accuracy on OG 13 if I aim to take GMAT in June 2013. It is currently 90% roughly on the last 50 questions and I don't find my self satisfied. Guidance needed.Please reply.
Dude your accuracy is good..and if you are giving GMAT in June then you have plenty of time to increase your accuracy in case you are not satisfied. By d way even if you are 100% accurate still you won't be self satisfied. Think about it :-)

Hi all,
Kindly someone provide me the answer to the below CR questions with explanations :

1. Studies in restaurants show that the tips left by customers who pay their bill in cash tend to
be larger when the bill is presented on a tray that bears a credit-card logo. Consumer
psychologists hypothesize that simply seeing a credit-card logo makes many credit-card
holders willing to spend more because it reminds them that their spending power exceeds
the cash they have immediately available. Which of the following, if true, most
strongly supports the psychologists' interpretation of the studies?
A. The effect noted in the studies is not limited to patrons who have credit cards.
B. Patrons who are under financial pressure from their credit-card obligations tend to tip less
when presented with a restaurant bill on a tray with credit-card logo than when the tray
has no logo.
C. In virtually all of the cases in the studies, the patrons who paid bills in cash did not possess
credit cards.
D. In general, restaurant patrons who pay their bills in cash leave larger tips than do those
who pay by credit card.
E. The percentage of restaurant bills paid with given brand of credit card increases when that
credit card's logo is displayed on the tray with which the bill is prepared.

2. Brochure: Help conserve our city's water supply. By converting the landscaping in your
yard to a water-conserving landscape, you can greatly reduce your outdoor water use. A
water-conserving landscape is natural and attractive, and it also saves you money.
Criticism: For most people with yards, the savings from converting to a water-conserving
landscape cannot justify the expense of new landscaping, since typically the conversion
would save less than twenty dollars on a homeowner's yearly water bills.
Which of the following, if true, provides the best basis for a rebuttal of the
criticism?
A. Even homeowners whose yards do not have water-conserving landscapes can conserve
water by installing water-saving devices in their homes.
B. A conventional landscape generally requires a much greater expenditure on fertilizer and
herbicide than does a water-conserving landscape.
C. A significant proportion of the residents of the city live in buildings that do not have yards.
D. It costs no more to put in water-conserving landscaping than it does to put in conventional
landscaping.
E. Some homeowners use more water to maintain their yards than they use for all other
purposes combined.

Hi all,
Kindly someone provide me the answer to the below CR questions with explanations :

1. Studies in restaurants show that the tips left by customers who pay their bill in cash tend to
be larger when the bill is presented on a tray that bears a credit-card logo. Consumer
psychologists hypothesize that simply seeing a credit-card logo makes many credit-card
holders willing to spend more because it reminds them that their spending power exceeds
the cash they have immediately available. Which of the following, if true, most
strongly supports the psychologists' interpretation of the studies?
A. The effect noted in the studies is not limited to patrons who have credit cards.
B. Patrons who are under financial pressure from their credit-card obligations tend to tip less
when presented with a restaurant bill on a tray with credit-card logo than when the tray
has no logo.
C. In virtually all of the cases in the studies, the patrons who paid bills in cash did not possess
credit cards.
D. In general, restaurant patrons who pay their bills in cash leave larger tips than do those
who pay by credit card.
E. The percentage of restaurant bills paid with given brand of credit card increases when that
credit card's logo is displayed on the tray with which the bill is prepared.

2. Brochure: Help conserve our city's water supply. By converting the landscaping in your
yard to a water-conserving landscape, you can greatly reduce your outdoor water use. A
water-conserving landscape is natural and attractive, and it also saves you money.
Criticism: For most people with yards, the savings from converting to a water-conserving
landscape cannot justify the expense of new landscaping, since typically the conversion
would save less than twenty dollars on a homeowner's yearly water bills.
Which of the following, if true, provides the best basis for a rebuttal of the
criticism?
A. Even homeowners whose yards do not have water-conserving landscapes can conserve
water by installing water-saving devices in their homes.
B. A conventional landscape generally requires a much greater expenditure on fertilizer and
herbicide than does a water-conserving landscape.
C. A significant proportion of the residents of the city live in buildings that do not have yards.
D. It costs no more to put in water-conserving landscaping than it does to put in conventional
landscaping.
E. Some homeowners use more water to maintain their yards than they use for all other
purposes combined.

1)

A. The effect noted in the studies is not limited to patrons who have credit cards.

-Weakens the argument

B. Patrons who are under financial pressure from their credit-card obligations tend to tip less
when presented with a restaurant bill on a tray with credit-card logo than when the tray
has no logo.

-There is a direct co-relation between the credit card logo and spending perception which strengthens the argument.

C. In virtually all of the cases in the studies, the patrons who paid bills in cash did not possess
credit cards.

- Irrelevent

D. In general, restaurant patrons who pay their bills in cash leave larger tips than do those
who pay by credit card.

- Weakens the argument

E. The percentage of restaurant bills paid with given brand of credit card increases when that
credit card €™s logo is displayed on the tray with which the bill is prepared.
- This is not about the spending perception.

Should be B. Took a helluva time on this.

2)

A. Even homeowners whose yards do not have water-conserving landscapes can conserve
water by installing water-saving devices in their homes.
- Irrelevent
B. A conventional landscape generally requires a much greater expenditure on fertilizer and
herbicide than does a water-conserving landscape.
- That means there are other expenditure other than water and that might compensate the cost of remodeling the landscape.

C. A significant proportion of the residents of the city live in buildings that do not have yards.
- irrelevent
D. It costs no more to put in water-conserving landscaping than it does to put in conventional
landscaping.
- No more, the argument says "the expense of new landscaping" -

E. Some homeowners use more water to maintain their yards than they use for all other
purposes combined.
- irrelevent

Hence B, this took less time. 😃

@mbaQuest12 said:
A certain roller coaster has 3 cars, and a passenger is equally likely to ride in any 1 of the 3 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 3 times, what is the probability that the passenger will ride in each of the 3 cars?

(A) 0 (B) 1/9 (C) 2/9 (D) 1/3 (E) 1
Let us suppose the roller coasters are 1 -2 -3
Case 1: Suppose passesnger chooses car 1 first so probability is 1/3, now for passenger to be ride in different car next time , he or she can choose either car 2 or 3 so probaility is 2/3 , in third turn he or she will be left with only one car then probability of riding in that car is 1/3
So total probability in this manner if he chooses car # 1 first is 1/3 * 2/3 * 1/3 = 2/27
Similarly if he chooses car 2 first then probabiliy = 2/27 and same if he chooses car 3 first .
So total probability = 2/27 + 2/27 + 2/27 =2/9....
@aquarius24 said:
Let us suppose the roller coasters are 1 -2 -3Case 1: Suppose passesnger chooses car 1 first so probability is 1/3, now for passenger to be ride in different car next time , he or she can choose either car 2 or 3 so probaility is 2/3 , in third turn he or she will be left with only one car then probability of riding in that car is 1/3So total probability in this manner if he chooses car # 1 first is 1/3 * 2/3 * 1/3 = 2/27Similarly if he chooses car 2 first then probabiliy = 2/27 and same if he chooses car 3 first .So total probability = 2/27 + 2/27 + 2/27 =2/9....
Or you could also say, he has 3*3*3 ways of choosing 3 cars and 3*2*1 ways of choosing 3 different cars so 6/27 = 2/9.

regards
scrabbler