GMAT Data Sufficiency Discussions

What is the ratio of the average (arithmetic mean) height of students in class X to the average height of students in class Y?
(1) The average height of the students in class
X is 120 centimeters.
(2) The average height of the students in class
X and class Y combined is 126 centimeters.


My take : E
Of the students in a certain school, 15 percent are enrolled in an art class and 10 percent are enrolled in a music class. What percent of the students in the school are enrolled in neither an art class nor a music class?

(1) 2/3 of the students who are enrolled in an art class are also enrolled in a music class.
(2) There are more than 100 students in the school.



Lets take the no.of students as 100.So no.of students in Arts class =15
and Music class = 10.

Statement 1:
==========
Students enrolled in both the classes are 2/3 (15) = 10.So total no.of students in Arts class only = 5.
students in music class only= 0.
students in both classes = 10.

students enrolling in neither class is 85.So statement 1 alone is suff.

Statement 2:
==========
statement 2 is not suff.

So I will go with option A
i thnk the answer will be A.
neither in arts or music=100-15-10-200/3


wat about the students enrolled in music, who are also enrolled in arts..??.. dont you need that to find out the ones who are not there in any of the classes..??..
from question ,x is either-0,5,-2
stat1.x=0,7...suffecient
stat2.x=5,3...suff
So answer is D


I think you did not read the question nicely.. the sign is of NOT EQUAL.. it just cannot be D.. πŸ˜‰
If x(x - 5)(x + 2) = 0, is x negative?

(1) x2 7x 0

(2) x2 2x 15 0
PS: x2 = x^2 ;)



Solving the eqn we get 3 values of x = 0,5,-2.

Statement :1
==========
solving the eqn x # 0 and #7.Nt suff

Statement :2:
==========
Solving the eqn x # 5 and x # -3..Nt suff.

Combining both the statements we get x = -2.Suff

If x is an integer, what is the value of x?

(1) -5x > -3x + 10
(2) -11x - 10

If x, y, and z are integers greater than 1, and (3^27)(5^10)(z) = (xy), then what is the value of x?

(1) y is prime

(2) x is prime

If x(x - 5)(x + 2) = 0, is x negative?

(1) x2 7x 0

(2) x2 2x 15 0
PS: x2 = x^2 ;)

IMO C

we know x=0,5,-2
1) x!=0,7 so insuff
2)X!= 5,-3

combining both we have x=-2
If x is an integer, what is the value of x?

(1) -5x > -3x + 10
(2) -11x 10


Imo C

From 1 ) we have
x
and from 2) we have
x>-7

so x=-6
If x, y, and z are integers greater than 1, and (3^27)(5^10)(z) = (xy), then what is the value of x?

(1) y is prime

(2) x is prime


IMO E.
Here we can simplyfy the equation as

25*z/3*y=x

so from 1 we have y is prime

so we will have different x values for diff values of y


so insuff

from 2 we have x is prime, but we dont know the values of y,z so insuff.

combining both, still we dont have enpugh info to calc the value of x.

I also marked E, but the OA is option A :lookround:

IMO E.
Here we can simplyfy the equation as

25*z/3*y=x

so from 1 we have y is prime

so we will have different x values for diff values of y


so insuff

from 2 we have x is prime, but we dont know the values of y,z so insuff.

combining both, still we dont have enpugh info to calc the value of x.
If x, y, and z are integers greater than 1, and (3^27)(5^10)(z) = (xy), then what is the value of x?

(1) y is prime

(2) x is prime


Please check the problem again : if its xy or x^y.
nuttyvarun Says
I also marked E, but the OA is option A :lookround:



ya but we have no info on z, it can be anything.So there will be a lot of combinations available. Anyways can you please post the expln in the source?
nuttyvarun Says
I also marked E, but the OA is option A :lookround:


Well I would have marked E.
and Option A's the OA :banghead: ...plz explain Varun??? Wts the source of dis Q???

1)In 2003 Acme Computer priced its computers five times higher than its printers. What is the ratio of its gross revenue for computers and printers respectively in the year 2003?

(1) In the first half of 2003 it sold computers and printers in the ratio of 3:2, respectively, and in the second half in the ratio of 2:1.

(2) It sold each computer for $1000.


24) If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost?

(1) Tom makes 20% less per hour than Jim does.

(2) x + y = $43.75

1)In 2003 Acme Computer priced its computers five times higher than its printers. What is the ratio of its gross revenue for computers and printers respectively in the year 2003?

(1) In the first half of 2003 it sold computers and printers in the ratio of 3:2, respectively, and in the second half in the ratio of 2:1.

(2) It sold each computer for $1000.




Statement 1:
==========
first half: C=3x and P =2x
Second half : C = 2y and P = y
price of the computer = 5m and printer = m

So with all the above data we can't get the ratio of gross revenue.Nt suff

Statement 2:
==========
5m = 1000 and m =200.nt suff..

combining both the statments we can't get the ans.

My take for the above q is option E

24) If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost?

(1) Tom makes 20% less per hour than Jim does.

(2) x + y = $43.75


we know 4x = 5y.(Tom's earnings is 20% less than Jim's/hr).

Statement 1:
==========
Nt suff..Already we know frm the q.Multiple solution possible.

Statment 2:
=========
x+y = 43.75

multiplying by 4 we get

4x+4y = 43.75 *4

9y = 43.75 *4

From this we get unique value for Jacket cost.

Statement 2 alone is suff to ans the q

Solve this

1.what is Jim's annual salary and June's annual salary ?

a)The combined total of the annual salaries of Jim and June is $50,000

b)If Jim were to receive a 10% increase in annual salary and June a 12% increase,their combined annual salaries would be $55,600.

Solve this

1.what is Jim's annual salary and June's annual salary ?

a)The combined total of the annual salaries of Jim and June is $50,000

b)If Jim were to receive a 10% increase in annual salary and June a 12% increase,their combined annual salaries would be $55,600.


Let Jim's salary be x and June's salary be y

a) x+y=50,000
NOT SUFF

b) 1.1x+1.12y= 55600
NOT SUFF

Taking the 2 eqns together...

Solving simultaneously one can get the values for x & y...

IMO C
pj02 Says
Please check the problem again : if its xy or x^y.


yep.. good catch.. its x^y.. sorry for that miss..