vinay1983 wrote:Ada and Paul received their scores on three tests. On the first test, Ada's score was 10 points higher than Paul's score. 0n the second test, Ada's score was 4 points higher than Paul's score. lf Paul's average (arithmetic mean) score on the three tests was 3 points higher than Ada's average score on the three tests, then Paul's score on the third test was how many points higher than Ada's score?
(A) 9
(B) 14
(c) 17
(D) 23
(E) 25
First test:
Let Paul's score = 50 and Ada's score = 60.
Second test:
Let Paul's score = 50 and Ada's score = 54.
Third test:
Let Paul's score = 50.
Since on all 3 tests Paul's score = 50, his average = 50.
Since Ada's average is 3 points lower, her average = 50-3 = 47.
Thus, Ada's sum for all 3 tests = 3*47 = 141.
Thus, Ada's score on the third test = 141-60-54 = 27.
Result:
Difference between Paul's score on the third test and Ada's score on the third test = 50-27 = 23.
The correct answer is
D.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
