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.
Apr 2512:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
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
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
06 Aug 2024, 19:00
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
56% (02:28) correct
44%
(02:34)
wrong
based on 268
sessions
History
Date
Time
Result
Not Attempted Yet
The ratio of two positive integers, \(m\) and \(n\), is 4 to 3. If the values of \(m\) and \(n\) are increased in a ratio of 1 to 1, which of the following cannot be the resulting integers?
I. 8 and 5
II. 25 and 21
III. 13 and 11
A. I only
B. II only
C. III only
D. I and II only
E. I and III only
I. 8 and 5
II. 25 and 21
III. 13 and 11
A. I only
B. II only
C. III only
D. I and II only
E. I and III only
11 Aug 2024, 02:00
Kudos
Bookmarks
Bunuel
Official Solution:
The ratio of two positive integers, \(m\) and \(n\), is 4 to 3. If the values of \(m\) and \(n\) are increased in a ratio of 1 to 1, which of the following cannot be the resulting integers?
I. 8 and 5
II. 25 and 21
III. 13 and 11
A. I only
B. II only
C. III only
D. I and II only
E. I and III only
When two numbers are increased in a ratio of 1:1, it implies that the same positive number was added to both of them.
If a fraction is between 0 and 1, adding the same positive number to both the numerator and denominator increases the value of the fraction. For instance, if we add 2 to the numerator and denominator of \(\frac{1}{3}\), we get \(\frac{1 + 2}{3 + 2} = \frac{3}{5}\), which is greater than the initial fraction of \(\frac{1}{3}\).
If a fraction is more than 1, adding the same positive number to both the numerator and denominator decreases the value of the fraction. For instance, if we add 2 to the numerator and denominator of \(\frac{3}{2}\), we get \(\frac{3 + 2}{2 + 2} = \frac{5}{4} = 1.25\), which is less than the initial fraction of \(\frac{3}{2} = 1.5\).
For the question at hand, the original ratio was 4:3, which is more than 1 (≈1.3), thus adding the same positive number to both the numerator and the denominator will decrease the value of the new ratio, bringing it closer to, but still above 1. Therefore, both 25 and 21 (\(\frac{25}{21} \approx 1.2\)), and 13 and 11 (\(\frac{13}{11} \approx 1.2\)), are possible values for the resulting integers since their ratio is less than 1.3, while 8 to 5 cannot be the resulting integers, as their ratio is 1.6, which is greater than 1.3.
Answer: A
General Discussion
06 Aug 2024, 20:06
Kudos
Bookmarks
m:n is 4:3 meaning m can be 4,8,12,16,20 etc and n can be 3,6,9,12,15 etc. So 4x : 3x
value increased by 1 to 1, means add the same value, say y, to both.
we are looking for options that are not in tandem with 4x+y : 3x+y
(I) clearly, 8:5 is not possible to achieve.
(II) 25:21, 4x:3x=16:12 (x=4) when y=9, 16+9:12+9 = 25:21. So, this option follows the given condition.
(III) Similarly, when x=2 and y=5, 13:11 is applicable
(A) is the answer
value increased by 1 to 1, means add the same value, say y, to both.
we are looking for options that are not in tandem with 4x+y : 3x+y
(I) clearly, 8:5 is not possible to achieve.
(II) 25:21, 4x:3x=16:12 (x=4) when y=9, 16+9:12+9 = 25:21. So, this option follows the given condition.
(III) Similarly, when x=2 and y=5, 13:11 is applicable
(A) is the answer
