Events & Promotions
|
|
GMAT Club Daily Prep
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
Nov 2001:30 PM EST
-02:30 PM IST
Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.
Nov 2206:30 AM PST
-08:30 AM PST
Let’s dive deep into advanced CR to ace GMAT Focus! Join this webinar to unlock the secrets to conquering Boldface and Paradox questions with expert insights and strategies. Elevate your skills and boost your GMAT Verbal Score now!
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Nov 2407:00 PM PST
-08:00 PM PST
Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!
Nov 2510:00 AM EST
-11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
13 Jun 2019, 00:24
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
69% (02:06) correct
31%
(02:16)
wrong
based on 194
sessions
History
Date
Time
Result
Not Attempted Yet
2ax + 5y = 17
4x + 6by = 11
In the x-y plane, the above two straight lines, intersect at the point (3, c). Find the value of a+b?
(1) c = 3
(2) The y-intercept of 2ax + 5y = 17 is 3.4
4x + 6by = 11
In the x-y plane, the above two straight lines, intersect at the point (3, c). Find the value of a+b?
(1) c = 3
(2) The y-intercept of 2ax + 5y = 17 is 3.4
13 Jun 2019, 10:59
Kudos
Bookmarks
2ax + 5y = 17
4x + 6by = 11
intersect at the point (3, c)
Put x = 3 and y = c in both the equations.
6x+5c = 17
12+6bc = 11
From S1:
c = 3
Then, 6x+15 = 17, x = 1/3
6bc = -1
b = -1/18
use this in first equation, 2ax + 5y = 17, 2ax = 2, a = 1/x = 3
SUFFICIENT.
From S2:
The y-intercept of 2ax + 5y = 17 is 3.4
Rearranging the equation, 5y = -2ax+17
y = -2ax/5+17/5 = -2ax/5+3.4
No extra info.
INSUFFICIENT.
A is the answer.
4x + 6by = 11
intersect at the point (3, c)
Put x = 3 and y = c in both the equations.
6x+5c = 17
12+6bc = 11
From S1:
c = 3
Then, 6x+15 = 17, x = 1/3
6bc = -1
b = -1/18
use this in first equation, 2ax + 5y = 17, 2ax = 2, a = 1/x = 3
SUFFICIENT.
From S2:
The y-intercept of 2ax + 5y = 17 is 3.4
Rearranging the equation, 5y = -2ax+17
y = -2ax/5+17/5 = -2ax/5+3.4
No extra info.
INSUFFICIENT.
A is the answer.
14 Jun 2019, 07:39
Kudos
Bookmarks
A moderately difficult question on Co-ordinate geometry, made to look more difficult by the presence of additional variables, a, b and c. However, if you are strong with your concepts on the topic, you’ll mostly sail through this question smoothly.
If a line passes through a point, the co-ordinates of the point should satisfy the equation of the straight line.
If two lines intersect at a point, the co-ordinates of the point should satisfy the equations of both the lines.
Since the two lines intersect at (3,c), we can rewrite the given equations as:
6a + 5c = 17
12 + 6bc = 11.
From the above equations, it’s not hard to figure out that, if we have the value of c, we can find out unique values of a and b from the individual equations and hence find out a unique value of a+b.
Statement I gives the value of c. This is sufficient. Possible answer options are A or D. Answer options B, C and E can be eliminated.
Reorganising the equation given in statement II, we have,
y = -\(\frac{2ax}{5}\) + \(\frac{17}{5}\).
\(\frac{17}{5}\), which is 3.4, represents the y-intercept of the line 2ax + 5y = 17, when written in the y = mx + c form. So, the statement is reiterating what we already know and not giving us any data about c.
So, statement II alone is insufficient. Answer option D can be eliminated.
The correct answer option is A.
Hope this helps!
If a line passes through a point, the co-ordinates of the point should satisfy the equation of the straight line.
If two lines intersect at a point, the co-ordinates of the point should satisfy the equations of both the lines.
Since the two lines intersect at (3,c), we can rewrite the given equations as:
6a + 5c = 17
12 + 6bc = 11.
From the above equations, it’s not hard to figure out that, if we have the value of c, we can find out unique values of a and b from the individual equations and hence find out a unique value of a+b.
Statement I gives the value of c. This is sufficient. Possible answer options are A or D. Answer options B, C and E can be eliminated.
Reorganising the equation given in statement II, we have,
y = -\(\frac{2ax}{5}\) + \(\frac{17}{5}\).
\(\frac{17}{5}\), which is 3.4, represents the y-intercept of the line 2ax + 5y = 17, when written in the y = mx + c form. So, the statement is reiterating what we already know and not giving us any data about c.
So, statement II alone is insufficient. Answer option D can be eliminated.
The correct answer option is A.
Hope this helps!
