lheiannie07 wrote:If p is a positive integer less than 29 and q is the remainder when 29 is divided by p, what is the value of q?
(1) p is a two-digit number.
(2) p = 3^k, where k is a positive integer.
Question stem:
What is the remainder when 29 is divided by p?
Statement 1:
Case 1: p=10
In this case, 29/10 = 2 R9.
Case 2: p=11
In this case, 29/11 = 2 R7.
Since the remainder can be different values, INSUFFICIENT.
Statement 2:
Case 1: p = 3¹ = 3
In this case, 29/3 = 9 R2.
Case 2: p = 3² = 9
In this case, 29/9 = 3 R2.
Case 3: p = 3³ = 27
In this case, 29/27 = 1 R2.
In every case, the remainder is 2.
SUFFICIENT.
The correct answer is
B.
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
