GMAT Data Sufficiency Discussions

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?


Hmm....you may be rite dude :wink:..but what I mean is that the cartons mite have different quality/quantity of the ice-cream and hence the price may differ!!..so wud the "%save" on the cartons.(cos nowhere in the first statement is it mentioned that the cartons are identical or rather cost the SAME, he just mentions 2 cartons....mite be 2 A's or A and B...)

Although I feel that u mite be right cos in GMAT things usually dont get too complex!!
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...


Hi Bhavin

Then I have a query...

If the square root of a nmber is non negative then why sqrt(9) is +3 or -3 or anything for that matter sqrt (100) is +10 or -10

Here -10,-3 are clearly negative so we may simply say that sqrt(9) is 3

If it is sqrt(x^2) then it may be +x or -x because we do not know
sign of x actually


Thanks
KKC
Hi Bhavin

Then I have a query...

If the square root of a nmber is non negative then why sqrt(9) is +3 or -3 or anything for that matter sqrt (100) is +10 or -10

Here -10,-3 are clearly negative so we may simply say that sqrt(9) is 3

If it is sqrt(x^2) then it may be +x or -x because we do not know
sign of x actually


Thanks
KKC


hi...if you go back a few pages... there has already been an intense discussion abt polarity of sqrt of nos..

Basically, sqrt of +ve nos is +ve only though square of both +ve n -ve is +ve...
and sqrt of -ve nos is not a real no..its complex ..
Hence sqrt 9 is +3 only..
Hence, sqrt ((x-5)^2) is x-5
i.e when x>5, sqrt ((x-5)^2) = x-5
and when x
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).

1. lines k and m intersect at the point (1,-1)

This gives us 2 points for each line K and m to calculate their slopes and so sufficient

2. line k intersect the x axis at point (1,0).

Does not say anything abt line m. So not sufficient.

Is A the answer?
1. lines k and m intersect at the point (1,-1)

This gives us 2 points for each line K and m to calculate their slopes and so sufficient

2. line k intersect the x axis at point (1,0).

Does not say anything abt line m. So not sufficient.

Is A the answer?


Hi raj...
statement 1 does give us 2 points for line k...but does it give us 2 points for line m ?? we still just know that single pt fr line m (1,-1) which we already know from sum..not sufficient...

Ans E..
i have posted the soln on previous page...

can anybody help.......


In parallelogram ABCD , what is the measure of ADC?
(1) The measure of ABC is greater than 90o.
(2) The measure of BCD is 70o

Pls help...........

. At a certain university, if 50 percent of the people who inquire about admission policies actually submit applications for admission, what percent of those who submit applications for admission enroll in classes at the university?
(1) Fifteen percent of those who submit applications for admission are accepted at the university.
(2) Eighty percent of those who are accepted send a deposit to the university.

I think both can give the ans ie C but the ans given is E

pls help for these Qs:

. Is quadrilateral Q a square?
(1) The sides of Q have the same length.
(2) The diagonals of Q have the same length.


If K is a positive integer less than 10 and N = 4,321 + K, what is the value of K?
(1) N is divisible by 3.
(2) N is divisible by 7.


A jewelry dealer initially offered a bracelet for sale at an asking price that would give a profit to the dealer of 40 percent of the original cost. What was the original cost of the bracelet?
(1) After reducing this asking price by 10 percent, the jewelry dealer sold the bracelet at a profit of $403.
(2) The jewelry dealer sold the bracelet for $1,953


can anybody help.......


In parallelogram ABCD , what is the measure of ADC?
(1) The measure of ABC is greater than 90o.
(2) The measure of BCD is 70o


only 2 alone is sufficient to answetr the question !

. Is quadrilateral Q a square?
(1) The sides of Q have the same length.
(2) The diagonals of Q have the same length.


From 1 alone we cannot say if its a square coz rhombus can be an example ....
From 2 alone again we cannot say if its a square because a rectangle also satisfies the codition

Now combining both , we can say that its a square Thus both are needed to answer the question !


If K is a positive integer less than 10 and N = 4,321 + K, what is the value of K?
(1) N is divisible by 3.

(2) N is divisible by 7.


From 1 alone we cannot figure out what is K as K = 2/5/8 satisfies the condition !!

From 2 alone we can find out that is N is divisible by 7 , K has to be 5 !!

Thus 2 Alone is sufficient
only 2 alone is sufficient to answetr the question !


From 1 alone we cannot say if its a square coz rhombus can be an example ....
From 2 alone again we cannot say if its a square because a rectangle also satisfies the codition

Now combining both , we can say that its a square Thus both are needed to answer the question !

For the parallelogram angle case could u pls give some more explanation ie can u calculate it.
ashishjha100 Says
For the parallelogram angle case could u pls give some more explanation ie can u calculate it.


yes...ashish...u can calculate all angles of parallelogram when 1 of the angles is given. i.e opp angles are equal and adjacent angles are supplementary in parallelogram..
The gcd of a nd b is g. If a, b, m, and n are all positive integers, what is the gcd of ma and nb?
1. gcd of m and n is 1.
2. b=3m+1 and n = a-1.

The gcd of a nd b is g. If a, b, m, and n are all positive integers, what is the gcd of ma and nb?
1. gcd of m and n is 1.

2. b=3m+1 and n = a-1.


Is the answer - Both of them cannot be used to answer the question correctly ?
The gcd of a nd b is g. If a, b, m, and n are all positive integers, what is the gcd of ma and nb?
1. gcd of m and n is 1.
2. b=3m+1 and n = a-1.



I suppose the answer is A

m and n are coprimes.So GCD of ma and nb will be 'g' itself

Thanks
KKC

I suppose the answer is A

m and n are coprimes.So GCD of ma and nb will be 'g' itself


Yes A indeed shd be the answr !! .... i made a mistake 😞
I suppose the answer is A

m and n are coprimes.So GCD of ma and nb will be 'g' itself

Thanks
KKC


what if a = gn and b = gm then gcd(a,b)=g and
gcd(am, bn)=gmn.
so atatement 1 alone is not sufficient.

Hi.. The problem stated below is Q 87 from OG - 11th Edition (Data Sufficiency Section)

An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week, excluding sunday, and 2 times the regular hourly rate for each hour worked on sunday. How much was the employee paid last week?

(1) The employee's regular hourly rate is $10.
(2) Last week, the employee worked a total of 54 hours but did not work more than 8 hours on any day.

--> Statement (1) by itself is NOT SUFFICIENT as it does not state the total hours the employee has worked ; Statement (2) by itself is also not sufficient as it does not give the hourly rate. However when these 2 statements are combined; the answer can be found.

--> The OG ANSWER SAYS IT IS E - BOTH STATEMENTS ARE NOT SUFFICIENT!! I dunno why.. can somebody plz explain?!

Thanks a ton =]

Hi.. The problem stated below is Q 87 from OG - 11th Edition (Data Sufficiency Section)

An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week, excluding sunday, and 2 times the regular hourly rate for each hour worked on sunday. How much was the employee paid last week?

(1) The employee's regular hourly rate is $10.
(2) Last week, the employee worked a total of 54 hours but did not work more than 8 hours on any day.

--> Statement (1) by itself is NOT SUFFICIENT as it does not state the total hours the employee has worked ; Statement (2) by itself is also not sufficient as it does not give the hourly rate. However when these 2 statements are combined; the answer can be found.

--> The OG ANSWER SAYS IT IS E - BOTH STATEMENTS ARE NOT SUFFICIENT!! I dunno why.. can somebody plz explain?!

Thanks a ton =]

don assume 5 days a week!
he worked 14 hrs in excess and this can be distributed on Sunday and non Sunday days in ne manner. Ex. 8+6, or 7+7 or 6+8 are the possibilities.
So one cannot determine.
The gcd of a nd b is g. If a, b, m, and n are all positive integers, what is the gcd of ma and nb?
1. gcd of m and n is 1.
2. b=3m+1 and n = a-1.

Can any one solve this now. It has already been solved partially.

i believe the quest can only be answered using the first statement