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.
Jul 1209:30 AM EDT
-12:30 PM EDT
Increase your score with a powerful GMAT course taught live online + 6 months of access to TTP OnDemand GMAT Masterclass included! Sundays July 12, 2026-October 1, 2026, 9:30am-12:30pm EST.
Jul 0608:00 AM PDT
-05:00 PM PDT
Compete to win some amazing Prizes such as Admissions Consulting Packages, Courses, and more. This is your Best Opportunity to improve your GMAT Score! Register to Participate
Jul 0810:00 AM EDT
-11:59 PM EDT
Receive 2 FREE hours of tutoring when you enroll in a 655+ course
Jul 1010:00 AM IST
-11:00 PM IST
Start your journey with a fully customized action plan and work with a dedicated mentor to achieve a 735+ score.
Jul 1012:00 PM PDT
-11:59 PM PDT
50% off all study plans with code PROGRESS - Expires Monday 7/13- Jul 12
11:00 AM PDT
-12:00 PM PDT
Join us in a GMAT practice session and solve 25 challenging GMAT questions with other test takers in timed conditions, covering GMAT Quant, Data Sufficiency, Data Insights, Reading Comprehension, and Critical Reasoning questions.
Updated on: 25 Oct 2023, 23:59
Originally posted by 12922 on 15 Jun 2023, 00:48.
Last edited by gmatophobia on 25 Oct 2023, 23:59, edited 2 times in total.
Last edited by gmatophobia on 25 Oct 2023, 23:59, edited 2 times in total.
Renamed the topic.
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:
73% (01:47) correct
27%
(02:01)
wrong
based on 1132
sessions
History
Date
Time
Result
Not Attempted Yet
Kevin, Leo, and Max each received a monetary award for their work on project X. If the total of the 3 awards was $705, was the average (arithmetic mean) of the 3 awards equal to the median of the 3 awards?
(1) Kevin's award was $235.
(2) Leo's award was $70 greater than Max's award.
(1) Kevin's award was $235.
(2) Leo's award was $70 greater than Max's award.
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.
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.
Using official mocks already?
Add GMAT Club Tests for harder practice, analytics, and explanations without overlapping Official Guide or official mock questions.
Try it now →
Try it now →
15 Jun 2023, 01:30
Kudos
Bookmarks
Kevin, Leo, and Max each received a monetary award for their work on project X. If the total of the 3 awards was $705, was the average (arithmetic mean) of the 3 awards equal to the median of the 3 awards?
Since the total of the 3 awards was $705, the average was 705/3 = $235.
(1) Kevin's award was $235.
Since Kevin's award of $235 matches the average, then one of the remaining two awards must have been less than or equal to that amount, and the other must have been more than or equal to that amount. Consequently, the awards were {≤235, 235, ≥235}. Therefore, the median, which is the middle value, would also be equal to 235, and hence, to the average. Sufficient.
(2) Leo's award was $70 greater than Max's award.
The above is clearly insufficient. For instance consider: {0, 70, 635} and {200, 235, 270}.
Answer: A.
Since the total of the 3 awards was $705, the average was 705/3 = $235.
(1) Kevin's award was $235.
Since Kevin's award of $235 matches the average, then one of the remaining two awards must have been less than or equal to that amount, and the other must have been more than or equal to that amount. Consequently, the awards were {≤235, 235, ≥235}. Therefore, the median, which is the middle value, would also be equal to 235, and hence, to the average. Sufficient.
(2) Leo's award was $70 greater than Max's award.
The above is clearly insufficient. For instance consider: {0, 70, 635} and {200, 235, 270}.
Answer: A.
29 Jul 2023, 17:27
Kudos
Bookmarks
12922
average = 705/3 = 235
We need to answer the question:
Is average = median ?, which we can rephrase into:
Is median = 235 ?
Statement One Alone:
=> Kevin’s award was $235.
The sum of the deviations from the mean is always equal to zero. We see that Kevin’s award doesn’t differ from the mean. So, if one of the unknown awards is x above the mean (235 + x), then the other unknown award must be x below the mean (235 – x).
The list of awards in ascending order:
235 – x, 235, 235 + x
Regardless of the value of x, the median is 235. The answer to the rephrased question is a definite Yes.
Statement one is sufficient. Eliminate answer choices B, C, and E.
Statement Two Alone:
=> Leo’s award was $70 greater than Max’s award.
If the list of awards in ascending order is 200, 235, 270, then the median is 235. Whereas, if the ordered list is 195, 245, 265, then the median is 245.
Statement two is not sufficient.
Answer: A
