Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

One kilogram of a certain coffee blend consists of x [#permalink]

Show Tags

24 May 2007, 06:36

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x < 0.8?

(1) y > 0.15
(2) C >=7.30

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.

One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x <0> 0.15 (2) C >=7.30

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.

E is the answer for this one.
(1) insufficient because y can be anything and x can be either <or> than 0.8
(2) insufficient not enough data

(1)+(2) insufficient because y can be anything and x can be either <or> that 0.8

One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x <0> 0.15 (2) C >=7.30

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.

One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x <0> 0.15 (2) C >=7.30

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.

Its B.. Here, X+Y = 1kg

From 1) If y>0.15 then X can be anything

From 2) if c>=7.30 then X must be lower than 0.8

So sufficient.

y>15 so let's take y=0.16 => 7.3= 6.5x + 8.5*0.16 x=0.91
y also can be let's say 0.7 => 7.3=6.5x+5.95 x=0.2

One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x <0> 0.15

C = 6.5x + 1.36

x = (c - 1.36)/6.5

Not sufficient !!

(2) C >=7.30

7.30 = 6.5x + 8.5y

Not sufficient

Together

x = ( 7.30 - 1.36)/6.5 => 5.94/6.5 => 0.91

hence x is not < 0.8 - we get an answer
If C increase so will X

My Answer : C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x <0> 0.15 (2) C >=7.30

St. (1) y > 0.15 is clearly nsf.
St. (2) C >=7.30

since we know that:
x + y = 1
y = 1 - x

if so,

C = 6.5x + 8.5y
C = 6.5x + 8.5 (1-x)
C = 6.5x + 8.5 - 8.5x
C = 8.5 - 2x

One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x <0> 0.15 (2) C >=7.30

St. (1) y > 0.15 is clearly nsf. St. (2) C >=7.30

since we know that: x + y = 1 y = 1 - x

if so,

C = 6.5x + 8.5y C = 6.5x + 8.5 (1-x) C = 6.5x + 8.5 - 8.5x C = 8.5 - 2x

if C >= 7.3

8.5 - 2x >= 7.3 x =< 0.6

so suff.

B.

thanks, this question tricked all of us, except you

One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x <0> 0.15 (2) C >=7.30

I vote for B.

(1) If y=0.16, x=0.84. But if y=0.21, x=0.79. INSUFF.
(2) Let's use x=0.8 as a benchmark, then C=6.9. Increasing the x (which we can look at as a percentage) would only lower C because x costs lower than y. So in order to get C=7.30, you must increase y and lower x from 0.8. Therefore x must be lower than 0.8. SUFF.

given x+y=1-----------------------Equation1
--stmt1 is clearly insuff as X can satisfy equation with more then 1 value
--Stmt 2 saying C is equal or > 7.3 so lets take C=7.30 so equation becomes 6.5x+8.5y=7.30 --------------Eq2

Solve Eq1 & Eq2 you get X always < 0.8 so 'B' is sufficient to answer the question