GMAT Data Sufficiency Discussions

One more guys,

At a fruit stand yesterday, the price of each apple was $0.10 more than the price of each orange.
What was the total revenue from the sale of oranges at the fruit stand yesterday?
(1) The number of oranges sold at the fruit stand
yesterday was 5 more than the number of
apples.
(2) The total revenue from the sale of apples
at the fruit stand yesterday was $15.00

One more guys,

At a fruit stand yesterday, the price of each apple was $0.10 more than the price of each orange.
What was the total revenue from the sale of oranges at the fruit stand yesterday?
(1) The number of oranges sold at the fruit stand
yesterday was 5 more than the number of
apples.
(2) The total revenue from the sale of apples
at the fruit stand yesterday was $15.00

My take: C.

To find out the revenue generated frm sale of oranges we shoud know the the price of each orange and the number of oranges sold. Let the number of oranges sold be x, the price of each orange be y, the number of apples sold be p and the price of each apple be q
Given that q = y+0.1

Stat1: x = p+5. Insufficient

Stat2: pq = 15. Insufficient

Combining both the statements, we get only one possible solution (The other would be -ve)
Hence sufficient.
My take: C.

To find out the revenue generated frm sale of oranges we shoud know the the price of each orange and the number of oranges sold. Let the number of oranges sold be x, the price of each orange be y, the number of apples sold be p and the price of each apple be q
Given that q = y+0.1

Stat1: x = p+5. Insufficient

Stat2: pq = 15. Insufficient

Combining both the statements, we get only one possible solution (The other would be -ve)
Hence sufficient.


Here we have these equeations:
q = y + 0.1
x = p + 5 (Insuff)
pq = 15 (Insuff)

So even after combining the two statements, we have only 3 equations with 4 variables.

Hence it is E for me

HG
My take: C.

To find out the revenue generated frm sale of oranges we shoud know the the price of each orange and the number of oranges sold. Let the number of oranges sold be x, the price of each orange be y, the number of apples sold be p and the price of each apple be q
Given that q = y+0.1

Stat1: x = p+5. Insufficient

Stat2: pq = 15. Insufficient

Combining both the statements, we get only one possible solution (The other would be -ve)
Hence sufficient.


hi kingkat...which is the only solution u r referring to ??
only x and p are integers and not y and q...

So, if pq=15...p can be any integer and correspondingly u have value for q, x and y...

eg. if p = 5, q=3, hence x=10, y=2.9, and xy = 29
if p=3, q=5 , hence x= 8 , y = 4.9 and xy = 8*4.9..

not suff...Ans E..

Sorry guys.....

Did my classic mistake, again !!!

Substituted the eqn into itself.

The answer is E.

Hi Bhavin,
Thks for ur reply. I also got the ans as E, but the solution given states the ans as C. Anyway thks it clears my doubt

Hi Bhavin,
Thks for ur reply. I also got the ans as E, but the solution given states the ans as C. Anyway thks it clears my doubt


with given set of data, and cannot be C, it has to be E....either sum part of problem is missing or ans option is incorrect..

My ans is C. Each apple cost $0.1 less than that of each orange and from 1 st statement no. of apples 5 less than no. of oranges. so total revenue from apples is 5x$0.1= $0.5 less than that of oranges. After combinding we get TOTAL REVENUE FROM ORANGES=$15.5

Hi All,

I need some help on the attached question. This is from GMATPrep and I got it wrong. The option marked with the bold black dot in the attachment is my wrong answer. The option marked by a square blue frame is the correct answers marked by the software. However the software does not explain why a particular choice is correct and others are wrong. I will be very grateful if someone can help justify why the correct choice is actually correct. Thanks in advance.

Cheers!

If, on a coordinate plane, point A has the coordinates (-3,4), how far is point A from point E?

a) Point E is on Y-axis four units away from the origin.
b) If point A is twice as far from point E, it would be the same distance from point E as point C is at coordinates (0, -2)

Hi All,
I need some help on the attached question. This is from GMATPrep and I got it wrong. The option marked with the bold black dot in the attachment is my wrong answer. The option marked by a square blue frame is the correct answers marked by the software. However the software does not explain why a particular choice is correct and others are wrong. I will be very grateful if someone can help justify why the correct choice is actually correct. Thanks in advance.
Cheers!


hi...a classic sum...i'll just post the problem :

is root = 5-x ??...

S1 : -xx|>0
S2 : 5-x>0

this sum only reconfirmes my understanding of roots..square root of a number is always non negative..

(x-5)^2 is positive and root of is non negative only...
Hence, root of is x-5 and not just x-5...

so, the question asked rephrases to , is x-5 = 5-x ??

for this to hold true, 5-x > 0 i.e x
So, finally question boils down to is x

St 1 : -x x >0...
|x is always positive, so -x should be positive or x should be negative ...i.e xHence always, x
St 2 : 5-x > 0..
this directly gives us x
really enjoyed solving this one :D...
If, on a coordinate plane, point A has the coordinates (-3,4), how far is point A from point E?

a) Point E is on Y-axis four units away from the origin.
b) If point A is twice as far from point E, it would be the same distance from point E as point C is at coordinates (0, -2)

1) gives u 2 points (0,4) and (0,-4).Hence not sufficient.
2) gives u a number of points that can satisfy the condition.
Both together give only 1 point.Answer should be C

Can somebody help me out with this one?

In the XY plane, line K passes through the point ( 1,1) and line m passes through (1,-1)
Are lines k and m perpendiculafr to each other?

1. lines k and m intersect at the point (1,-1)
2. line k intersect the x axis at point (1,0).

Can somebody help me out with this one?

In the XY plane, line K passes through the point ( 1,1) and line m passes through (1,-1)
Are lines k and m perpendiculafr to each other?

1. lines k and m intersect at the point (1,-1)
2. line k intersect the x axis at point (1,0).


Ans E..
To get slope or eqn of line, we need 2 points..

St 1 : This only gives 2 points for line k, or says eqn of line k is x = 1..Eqn of line m is not clear..hence not sufficient..

St 2 : This again gives us 2 pts for line k, or says eqn of line k is x=1..not sufficient..

Both statements combined also does not tell us anything about line m...

Circle C and line K lie on the XY plane .If C is center at the origin and has radius =1,does the line K intersect C?

1.the x intercept of the line K is >1
2. The slope of the line K is -1/10

Could someone explain what it means when the slope of a line is negative or positive?Can we guess how the line will be slanting?

Circle C and line K lie on the XY plane .If C is center at the origin and has radius =1,does the line K intersect C?

1.the x intercept of the line K is >1
2. The slope of the line K is -1/10

Could someone explain what it means when the slope of a line is negative or positive?Can we guess how the line will be slanting?


hi raj,
slant of the line can be very much understood by its slope...
we know, slope = m = tan @ = (y2-y1)/(x2-x1)...
Let @ be the inclination of line in degrees wrt. Positive X- Axis...

Then :
1) When @ is acute, slope is positive
2) and when @ is obtuse, slope is negative...( or acute inclination of line wrt to negative X-Axis )
3) when line is parallel to X - Axis slope is zero
4) When line is parallel to Y-Axis slope is not defined..

To put things in perspective, slope is dependent on inlination @ wrt to +ve X-Axis .
When 0When, @=45, m= 1
When 45When @ = 135 ( or 45 degrees wrt to -ve X-Axis ) ; m= -1
when 135
this takes care of entire range of angles from 0 to 180 and its corresponding slope...

coming back to sum,

St 1 : tells u nothing abt slope or the definite X- intercept..Hence the line may or may not intersect circle...not sufficient..

St 2: slope of line is -1/10..there can be infinite parallel lines having the same slope, since X-intercept is not known, we cannot say anything conclusive abt intersection with circle..
not sufficient..

Statements combined also does not give us exact X-intercept, hence not sufficient..

Ans E

If Antonio bought two half-gallon cartons of ice cream during a special sale, what percent of the total regular price of the two cartons did he save?
(1) Antonio paid the regular price for the first carton and received the second carton for half the regular price.
(2) The regular price of the ice cream Antonio bought was $4.00 per half-gallon carton.

If Antonio bought two half-gallon cartons of ice cream during a special sale, what percent of the total regular price of the two cartons did he save?
(1) Antonio paid the regular price for the first carton and received the second carton for half the regular price.
(2) The regular price of the ice cream Antonio bought was $4.00 per half-gallon carton.


Ans is A.
Let the regular price of 1 carton=Rs 100,he received the 2nd carton for Rs 50. so he saved Rs 50.
save%=50/200 x100=25%

Originally Posted by getneonow View Post
If Antonio bought two half-gallon cartons of ice cream during a special sale, what percent of the total regular price of the two cartons did he save?
(1) Antonio paid the regular price for the first carton and received the second carton for half the regular price.
(2) The regular price of the ice cream Antonio bought was $4.00 per half-gallon carton.



Ans is A.
Let the regular price of 1 carton=Rs 100,he received the 2nd carton for Rs 50. so he saved Rs 50.
save%=50/200 x100=25%



i am not too sure if "A" wud be the answer..cos if u see the (2) statement it says " The regular price of the ice cream Antonio bought was $4.00 per half-gallon carton." which means there mite be different varieties of the carton and in the first statement he doesn't mention anywhere that he buys identical cartons..so the answer should be "D=cannot be asnwered" according to me cos the prices of the carton boxes mite differ and hence the percentages will vary accordingly!
Peace007 Says
i am not too sure if "A" wud be the answer..cos if u see the (2) statement it says " The regular price of the ice cream Antonio bought was $4.00 per half-gallon carton." which means there mite be different varieties of the carton and in the first statement he doesn't mention anywhere that he buys identical cartons..so the answer should be "D=cannot be asnwered" according to me cos the prices of the carton boxes mite differ and hence the percentages will vary accordingly!

The answer should be 'A'.
If the price of a half-gallon carton is x, then Antonio saved x/2 and total price of 2 cartons is 2x.
Savings = ((x/2)/2x)*100 = 25%.

Peace007, what do u mean by different varieties of cartons? As long as both the cartons have same ice cream (and they do coz "two half-gallon cartons of icecream") and both cartons have the same capacity (half-gallon), how does it matter?