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 2301:30 AM EDT
-02:30 AM EDT
Struggling with GMAT Verbal as a non-native speaker? Harsh improved his score from 595 to 695 in just 45 days—and scored a 99 %ile in Verbal (V88)! Learn how smart strategy, clarity, and guided prep helped him gain 100 points.
Apr 2212:30 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 2308:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
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.
03 Jul 2025, 08:00
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
19% (01:48) correct
81%
(02:17)
wrong
based on 419
sessions
History
Date
Time
Result
Not Attempted Yet
A rental firm has only two distinct types of vehicles: minivans and sedans. Each vehicle runs on exactly one fuel type, either gasoline or electricity. If a vehicle is selected at random, is the probability that it is a sedan running on electricity greater than the probability that it is a minivan running on gasoline?
(1) The probability that a randomly selected vehicle is either a minivan or runs on gasoline is 2/5.
(2) The probability that a randomly selected vehicle is either a sedan or runs on electricity is 5/8.
(1) The probability that a randomly selected vehicle is either a minivan or runs on gasoline is 2/5.
(2) The probability that a randomly selected vehicle is either a sedan or runs on electricity is 5/8.
|
03 Jul 2025, 08:30
Kudos
Bookmarks
A rental firm has only two distinct types of vehicles: minivans and sedans. Each vehicle runs on exactly one fuel type, either gasoline or electricity. If a vehicle is selected at random, is the probability that it is a sedan running on electricity greater than the probability that it is a minivan running on gasoline?
Firstly, to simplify, let's assume the total number of cars is 40, which is the LCM of the denominators of the probabilities given in the statements.
Next, notice that we have four distinct, non-overlapping types of cars: \(M_G\) (minivans on gasoline), \(M_E\) (minivans on electricity), \(S_G\) (sedans on gasoline), and \(S_E\) (sedans on electricity), and their total is \(M_G + M_E + S_G + S_E = 40\). We’re asked to find whether \(S_E > M_G\).
(1) The probability that a randomly selected vehicle is either a minivan or runs on gasoline is 2/5.
This implies that \(M_G + M_E + S_G = \frac{2}{5} * 40 = 16\), so \(S_E = 40 - 16 = 24\). Thus, \(M_G\), which is less than or equal to 16, cannot be more than \(S_E = 24\). Sufficient.
(2) The probability that a randomly selected vehicle is either a sedan or runs on electricity is 5/8.
This implies that \(S_E + S_G + M_E = \frac{5}{8} * 40 = 25\), so \(M_G = 40 - 25 = 15\). Since \(S_E\) is less than or equal to 25, it may or may not be greater than \(M_G = 15\). Not sufficient.
Answer: A.
GMAT Club Official Explanation:
A rental firm has only two distinct types of vehicles: minivans and sedans. Each vehicle runs on exactly one fuel type, either gasoline or electricity. If a vehicle is selected at random, is the probability that it is a sedan running on electricity greater than the probability that it is a minivan running on gasoline?
Firstly, to simplify, let's assume the total number of cars is 40, which is the LCM of the denominators of the probabilities given in the statements.
Next, notice that we have four distinct, non-overlapping types of cars: \(M_G\) (minivans on gasoline), \(M_E\) (minivans on electricity), \(S_G\) (sedans on gasoline), and \(S_E\) (sedans on electricity), and their total is \(M_G + M_E + S_G + S_E = 40\). We’re asked to find whether \(S_E > M_G\).
(1) The probability that a randomly selected vehicle is either a minivan or runs on gasoline is 2/5.
This implies that \(M_G + M_E + S_G = \frac{2}{5} * 40 = 16\), so \(S_E = 40 - 16 = 24\). Thus, \(M_G\), which is less than or equal to 16, cannot be more than \(S_E = 24\). Sufficient.
(2) The probability that a randomly selected vehicle is either a sedan or runs on electricity is 5/8.
This implies that \(S_E + S_G + M_E = \frac{5}{8} * 40 = 25\), so \(M_G = 40 - 25 = 15\). Since \(S_E\) is less than or equal to 25, it may or may not be greater than \(M_G = 15\). Not sufficient.
Answer: A.
General Discussion
03 Jul 2025, 08:25
Kudos
Bookmarks
C.
Taking both statement together. We get from A -3/5 is for non minivan and non gasoline and from statement B we get non sedan and non electric - 3/8.
Taking both statement together. We get from A -3/5 is for non minivan and non gasoline and from statement B we get non sedan and non electric - 3/8.
