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 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 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.
04 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:
75%
(hard)
Question Stats:
64% (02:20) correct
36%
(02:51)
wrong
based on 380
sessions
History
Date
Time
Result
Not Attempted Yet
A moving service charges p dollars for the first 5 miles of any trip plus 0.1*p dollars for each additional mile or fraction of a mile. If p > 30, was a particular trip more than 30 miles long?
(1) The moving service charged a total of 3.3p dollars for the trip.
(2) The moving service charged a total of $132 for the trip.
(1) The moving service charged a total of 3.3p dollars for the trip.
(2) The moving service charged a total of $132 for the trip.
|
04 Jul 2025, 08:30
Kudos
Bookmarks
Bunuel
Experts' Global Explanation:
Let total miles be M.
Cost for the first 5 miles = p.
Cost for each of the remaining (M – 5) miles = 0.1p.
Hence, the total cost for M miles = p + 0.1p(M – 5).
We need to find whether M > 30.
Statement (1)
p + 0.1p(M – 5) = 3.3p
Cancelling all “p”, we get: 1 + 0.1(M – 5) = 3.3
0.1(M – 5) = 2.3
M – 5 = 23
M = 28
It is possible to determine with certainty whether M is greater than 30; we can conclude that M is NOT greater than 30. Hence, Statement (1) is sufficient.
Trap alert!
Many students may mistakenly believe that Statement (1) is insufficient, as “M = 28” leads to “No” as answer for “Is M > 30?”. Remember, in Data Sufficiency questions, a Statement is sufficient if it consistently leads to “No” as the answer.
Statement (2)
p + 0.1p(M – 5) = 132
p + 0.1pM – 0.5p = 132
0.5p + 0.1pM = 132
Multiplying both sides by 10, we get: 5p + pM = 1320
M = (1320/p) – 5
Possibility 1: If p = 100, then M < 30.
Possibility 2: If p = 32, then M > 30.
It is NOT possible to determine with certainty whether M is greater than 30. Hence, Statement (2) is insufficient.
A is the correct answer choice.
An interesting discussion:
A student once wrote to us asking whether Statement (1) would be sufficient if the calculated value for M turned out to be exactly 30.
Can you figure out the answer?
The given question asks us whether the value of M is strictly greater than 30. Since the number 30 is NOT greater than 30, we can determine with certainty that M is NOT greater than 30. Hence, Statement (1) would still be sufficient.
General Discussion
04 Jul 2025, 08:26
Kudos
Bookmarks
Information given:
- A moving service charges p dollars for the first 5 miles
- It charges 0.1*p dollars for each additional mile or fraction of a mile
Question:
- If p>30, was a particular trip more than 30 miles long?
Solution:
- Statement 1: The moving service charged a total of 3.3p dollars for the trip.
- Total cost = p + 0.1*p*(miles over 5) = p + 0.1*p*(d-5)
- Total cost = 3.3p
- So, 3.3p = p + 0.1p * (d-5)
- 2.3p = 0.1p * d-5
- 23 = d - 5
- d = 28
- Therefore, the trip is 28 miles long, which is not more than 30 miles long
- Sufficient
- Statement 2:
- Total cost = 132
- But p is unknown. We know it's over 30, but don't know the exact value
- If p = 40, 132 - 40 = 92, 92/(0.1*40) = 23 miles, total 28 miles (which is less than 30)
- If p = 35, 132 - 35 = 97, 97/(0.1*35) = 27.7 miles, total 32.7 miles (which is more than 30)
- Insufficient
Answer: A, statement 1 alone is sufficient, but statement 2 alone is not sufficient
- A moving service charges p dollars for the first 5 miles
- It charges 0.1*p dollars for each additional mile or fraction of a mile
Question:
- If p>30, was a particular trip more than 30 miles long?
Solution:
- Statement 1: The moving service charged a total of 3.3p dollars for the trip.
- Total cost = p + 0.1*p*(miles over 5) = p + 0.1*p*(d-5)
- Total cost = 3.3p
- So, 3.3p = p + 0.1p * (d-5)
- 2.3p = 0.1p * d-5
- 23 = d - 5
- d = 28
- Therefore, the trip is 28 miles long, which is not more than 30 miles long
- Sufficient
- Statement 2:
- Total cost = 132
- But p is unknown. We know it's over 30, but don't know the exact value
- If p = 40, 132 - 40 = 92, 92/(0.1*40) = 23 miles, total 28 miles (which is less than 30)
- If p = 35, 132 - 35 = 97, 97/(0.1*35) = 27.7 miles, total 32.7 miles (which is more than 30)
- Insufficient
Answer: A, statement 1 alone is sufficient, but statement 2 alone is not sufficient
Bunuel
